Newer
Older
<svg style="stroke:black" width="4939pt" height="708pt" viewBox="0.00 0.00 4939.20 708.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 704)">
<title>MMT</title>
<polygon fill="white" stroke="none" points="-4,4 -4,-704 4935.2,-704 4935.2,4 -4,4"/>
<polygon fill="none" points="8,-8 8,-636 3222,-636 3222,-8 8,-8"/>
<!-- http://mathhub.info/MitM/Models/recombination?Recombination -->
<g id="node1" class="node"><title>http://mathhub.info/MitM/Models/recombination?Recombination</title>
<g id="a_node1"><a data-mmt-symref="http://mathhub.info/MitM/Models/recombination?Recombination" class="graphtheory">
<ellipse fill="none" cx="2409" cy="-250" rx="64.9885" ry="18"/>
<text text-anchor="middle" x="2409" y="-246.3" font-family="Times,serif" font-size="14.00">Recombination</text>
<!-- http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination -->
<g id="node4" class="node"><title>http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination</title>
<g id="a_node4"><a data-mmt-symref="http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination" class="graphtheory">
<ellipse fill="none" cx="1916" cy="-178" rx="109.681" ry="18"/>
<text text-anchor="middle" x="1916" y="-174.3" font-family="Times,serif" font-size="14.00">SpontaneousRecombination</text>
<!-- http://mathhub.info/MitM/Models/recombination?Recombination->http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination -->
<g id="edge25" class="edge"><title>http://mathhub.info/MitM/Models/recombination?Recombination->http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination</title>
<g id="a_edge25"><a class="graphinclude">
<path fill="none" d="M2362.17,-237.498C2353.18,-235.502 2343.83,-233.568 2335,-232 2227.47,-212.898 2103.23,-198.082 2018.12,-189.032"/>
<polygon points="2018.26,-185.526 2007.94,-187.957 2017.52,-192.488 2018.26,-185.526"/>
<!-- http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons -->
<g id="node6" class="node"><title>http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons</title>
<g id="a_node6"><a data-mmt-symref="http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons" class="graphtheory">
<ellipse fill="none" cx="2237" cy="-178" rx="113.18" ry="18"/>
<text text-anchor="middle" x="2237" y="-174.3" font-family="Times,serif" font-size="14.00">ContinuityEquationElectrons</text>
<!-- http://mathhub.info/MitM/Models/recombination?Recombination->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons -->
<g id="edge43" class="edge"><title>http://mathhub.info/MitM/Models/recombination?Recombination->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons</title>
<g id="a_edge43"><a class="graphinclude">
<path fill="none" d="M2373.78,-234.666C2348.37,-224.325 2313.75,-210.235 2285.7,-198.818"/>
<polygon points="2286.66,-195.43 2276.07,-194.902 2284.02,-201.914 2286.66,-195.43"/>
<!-- http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles -->
<g id="node14" class="node"><title>http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles</title>
<g id="a_node14"><a data-mmt-symref="http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles" class="graphtheory">
<ellipse fill="none" cx="2469" cy="-178" rx="100.983" ry="18"/>
<text text-anchor="middle" x="2469" y="-174.3" font-family="Times,serif" font-size="14.00">ContinuityEquationHoles</text>
<!-- http://mathhub.info/MitM/Models/recombination?Recombination->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles -->
<g id="edge112" class="edge"><title>http://mathhub.info/MitM/Models/recombination?Recombination->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles</title>
<g id="a_edge112"><a class="graphinclude">
<path fill="none" d="M2423.22,-232.411C2430.58,-223.82 2439.72,-213.159 2447.89,-203.627"/>
<polygon points="2450.62,-205.827 2454.47,-195.956 2445.3,-201.271 2450.62,-205.827"/>
<!-- http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium -->
<g id="node2" class="node"><title>http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium</title>
<g id="a_node2"><a data-mmt-symref="http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium" class="graphtheory">
<ellipse fill="none" cx="846" cy="-178" rx="112.38" ry="18"/>
<text text-anchor="middle" x="846" y="-174.3" font-family="Times,serif" font-size="14.00">ThermodynamicEquilibrium</text>
<!-- http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions -->
<g id="node16" class="node"><title>http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions</title>
<g id="a_node16"><a data-mmt-symref="http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions" class="graphtheory">
<ellipse fill="none" cx="1031" cy="-106" rx="111.28" ry="18"/>
<text text-anchor="middle" x="1031" y="-102.3" font-family="Times,serif" font-size="14.00">PoissonBoundaryConditions</text>
<!-- http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions -->
<g id="edge131" class="edge"><title>http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions</title>
<g id="a_edge131"><a class="graphinclude">
<path fill="none" d="M887.979,-161.116C915.277,-150.787 951.041,-137.255 979.977,-126.306"/>
<polygon points="981.392,-129.513 989.506,-122.701 978.914,-122.966 981.392,-129.513"/>
<!-- http://mathhub.info/MitM/Models/device?Device -->
<g id="node3" class="node"><title>http://mathhub.info/MitM/Models/device?Device</title>
<g id="a_node3"><a data-mmt-symref="http://mathhub.info/MitM/Models/device?Device" class="graphtheory">
<ellipse fill="none" cx="1323" cy="-538" rx="35.9954" ry="18"/>
<text text-anchor="middle" x="1323" y="-534.3" font-family="Times,serif" font-size="14.00">Device</text>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/recombination?Recombination -->
<g id="edge6" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/recombination?Recombination</title>
<g id="a_edge6"><a class="graphinclude">
<path fill="none" d="M1358.6,-535.965C1492.73,-531.855 1967.4,-515.373 2115,-484 2205.77,-464.706 2235.15,-465.471 2311,-412 2358.55,-378.48 2387.32,-313.868 2400.46,-277.516"/>
<polygon points="2403.77,-278.656 2403.76,-268.062 2397.16,-276.353 2403.77,-278.656"/>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium -->
<g id="edge16" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium</title>
<g id="a_edge16"><a class="graphinclude">
<path fill="none" d="M1287.09,-536.909C1132.48,-536.237 523.059,-530.623 338,-484 231.086,-457.065 168.454,-445.37 136,-340 72.4818,-133.771 353.582,-259.73 512,-232 594.788,-217.509 689.426,-202.652 756.775,-192.369"/>
<polygon points="757.567,-195.789 766.926,-190.822 756.512,-188.869 757.567,-195.789"/>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination -->
<g id="edge29" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination</title>
<g id="a_edge29"><a class="graphinclude">
<path fill="none" d="M1325.07,-519.731C1327.68,-501.394 1333.07,-471.828 1343,-448 1357.6,-412.948 1361.97,-402.676 1389,-376 1394.4,-370.672 1498.09,-307.13 1505,-304 1618.59,-252.541 1759.13,-214.978 1842.96,-195.111"/>
<polygon points="1843.96,-198.471 1852.89,-192.776 1842.36,-191.656 1843.96,-198.471"/>
<!-- http://mathhub.info/MitM/Models/continuity?CurrentHoles -->
<g id="node5" class="node"><title>http://mathhub.info/MitM/Models/continuity?CurrentHoles</title>
<g id="a_node5"><a data-mmt-symref="http://mathhub.info/MitM/Models/continuity?CurrentHoles" class="graphtheory">
<ellipse fill="none" cx="2570" cy="-250" rx="57.6901" ry="18"/>
<text text-anchor="middle" x="2570" y="-246.3" font-family="Times,serif" font-size="14.00">CurrentHoles</text>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/continuity?CurrentHoles -->
<g id="edge37" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/continuity?CurrentHoles</title>
<g id="a_edge37"><a class="graphinclude">
<path fill="none" d="M1358.88,-536.171C1501.02,-532.675 2024.78,-517.731 2187,-484 2335.74,-453.072 2383.55,-441.036 2497,-340 2518.61,-320.752 2539.13,-294.8 2552.88,-275.888"/>
<polygon points="2555.74,-277.915 2558.7,-267.743 2550.04,-273.845 2555.74,-277.915"/>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons -->
<g id="edge49" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons</title>
<g id="a_edge49"><a class="graphinclude">
<path fill="none" d="M1358.69,-536.61C1508.31,-534.724 2085.33,-524.892 2262,-484 2449.38,-440.628 2548.51,-438.774 2637,-268 2678.86,-187.211 2491.69,-213.836 2359,-196 2349.22,-194.686 2339.01,-193.294 2328.83,-191.894"/>
<polygon points="2329.07,-188.393 2318.69,-190.494 2328.12,-195.328 2329.07,-188.393"/>
<!-- http://mathhub.info/MitM/Models/densities?DensityHoles -->
<g id="node7" class="node"><title>http://mathhub.info/MitM/Models/densities?DensityHoles</title>
<g id="a_node7"><a data-mmt-symref="http://mathhub.info/MitM/Models/densities?DensityHoles" class="graphtheory">
<ellipse fill="none" cx="1842" cy="-322" rx="58.4896" ry="18"/>
<text text-anchor="middle" x="1842" y="-318.3" font-family="Times,serif" font-size="14.00">DensityHoles</text>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/densities?DensityHoles -->
<g id="edge60" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/densities?DensityHoles</title>
<g id="a_edge60"><a class="graphinclude">
<path fill="none" d="M1349.81,-525.945C1434.27,-491.121 1695.32,-383.482 1798.95,-340.749"/>
<polygon points="1800.57,-343.869 1808.48,-336.821 1797.9,-337.397 1800.57,-343.869"/>
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
<!-- http://mathhub.info/MitM/Models/poisson?PoissonEquation -->
<g id="node10" class="node"><title>http://mathhub.info/MitM/Models/poisson?PoissonEquation</title>
<g id="a_node10"><a data-mmt-symref="http://mathhub.info/MitM/Models/poisson?PoissonEquation" class="graphtheory">
<ellipse fill="none" cx="1476" cy="-178" rx="69.5877" ry="18"/>
<text text-anchor="middle" x="1476" y="-174.3" font-family="Times,serif" font-size="14.00">PoissonEquation</text>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/poisson?PoissonEquation -->
<g id="edge83" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/poisson?PoissonEquation</title>
<g id="a_edge83"><a class="graphinclude">
<path fill="none" d="M1287.84,-534.409C1152.95,-523.181 682.652,-471.483 815,-304 886.165,-213.943 1237.73,-188.488 1397.15,-181.522"/>
<polygon points="1397.53,-185.009 1407.37,-181.089 1397.23,-178.016 1397.53,-185.009"/>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons -->
<g id="node11" class="node"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons</title>
<g id="a_node11"><a data-mmt-symref="http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons" class="graphtheory">
<ellipse fill="none" cx="1153" cy="-322" rx="96.6831" ry="18"/>
<text text-anchor="middle" x="1153" y="-318.3" font-family="Times,serif" font-size="14.00">FermiPotentialElectrons</text>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons -->
<g id="edge97" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons</title>
<g id="a_edge97"><a class="graphinclude">
<path fill="none" d="M1297.7,-524.925C1280.16,-515.607 1257.15,-501.386 1241,-484 1203.47,-443.604 1176.46,-384.23 1162.9,-350.01"/>
<polygon points="1166,-348.313 1159.13,-340.246 1159.47,-350.836 1166,-348.313"/>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models/densities?ElectrostaticPotential -->
<g id="node12" class="node"><title>http://mathhub.info/MitM/Models/densities?ElectrostaticPotential</title>
<g id="a_node12"><a data-mmt-symref="http://mathhub.info/MitM/Models/densities?ElectrostaticPotential" class="graphtheory">
<ellipse fill="none" cx="1600" cy="-322" rx="85.5853" ry="18"/>
<text text-anchor="middle" x="1600" y="-318.3" font-family="Times,serif" font-size="14.00">ElectrostaticPotential</text>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/densities?ElectrostaticPotential -->
<g id="edge100" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/densities?ElectrostaticPotential</title>
<g id="a_edge100"><a class="graphinclude">
<path fill="none" d="M1329.28,-520.094C1342.33,-487.315 1375.5,-414.928 1427,-376 1454.13,-355.489 1489.26,-342.847 1520.77,-335.087"/>
<polygon points="1521.92,-338.415 1530.86,-332.736 1520.33,-331.597 1521.92,-338.415"/>
<!-- http://mathhub.info/MitM/Models/continuity?CurrentElectrons -->
<g id="node13" class="node"><title>http://mathhub.info/MitM/Models/continuity?CurrentElectrons</title>
<g id="a_node13"><a data-mmt-symref="http://mathhub.info/MitM/Models/continuity?CurrentElectrons" class="graphtheory">
<ellipse fill="none" cx="2255" cy="-250" rx="70.6878" ry="18"/>
<text text-anchor="middle" x="2255" y="-246.3" font-family="Times,serif" font-size="14.00">CurrentElectrons</text>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/continuity?CurrentElectrons -->
<g id="edge107" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/continuity?CurrentElectrons</title>
<path fill="none" d="M1358.49,-535.266C1526.99,-526.67 2240.74,-486.052 2303,-412 2310.46,-403.128 2312.81,-334.341 2301,-304 2296.8,-293.221 2289.39,-283.148 2281.73,-274.739"/>
<polygon points="2284.19,-272.244 2274.71,-267.513 2279.17,-277.123 2284.19,-272.244"/>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles -->
<g id="edge117" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles</title>
<g id="a_edge117"><a class="graphinclude">
<path fill="none" d="M1358.74,-536.303C1516.17,-533.057 2148.6,-518.108 2344,-484 2452.87,-464.997 2754.13,-428.739 2820,-340 2843.07,-308.92 2791.57,-234.013 2789,-232 2771.15,-218.025 2649.12,-200.658 2561.05,-189.698"/>
<polygon points="2561.38,-186.212 2551.03,-188.46 2560.52,-193.16 2561.38,-186.212"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialHoles -->
<g id="node15" class="node"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialHoles</title>
<g id="a_node15"><a data-mmt-symref="http://mathhub.info/MitM/Models/densities?FermiPotentialHoles" class="graphtheory">
<ellipse fill="none" cx="1352" cy="-322" rx="83.6854" ry="18"/>
<text text-anchor="middle" x="1352" y="-318.3" font-family="Times,serif" font-size="14.00">FermiPotentialHoles</text>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/densities?FermiPotentialHoles -->
<g id="edge127" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/densities?FermiPotentialHoles</title>
<g id="a_edge127"><a class="graphinclude">
<path fill="none" d="M1298.81,-524.572C1284.05,-515.524 1266.43,-501.756 1258,-484 1237.41,-440.641 1233.79,-417.446 1258,-376 1266.85,-360.855 1281.8,-349.698 1297.2,-341.639"/>
<polygon points="1298.8,-344.752 1306.28,-337.245 1295.75,-338.451 1298.8,-344.752"/>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions -->
<g id="edge132" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions</title>
<g id="a_edge132"><a class="graphinclude">
<path fill="none" d="M1287.31,-536.665C1109.09,-534.807 320.081,-524.347 219,-484 127.978,-447.669 92.8205,-429.099 52,-340 31.6673,-295.62 35.3459,-264.241 72,-232 134.842,-176.724 681.534,-131.725 920.261,-114.526"/>
<polygon points="920.63,-118.009 930.354,-113.802 920.13,-111.026 920.63,-118.009"/>
<!-- http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsElectrons -->
<g id="node17" class="node"><title>http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsElectrons</title>
<g id="a_node17"><a data-mmt-symref="http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsElectrons" class="graphtheory">
<ellipse fill="none" cx="311" cy="-322" rx="154.873" ry="18"/>
<text text-anchor="middle" x="311" y="-318.3" font-family="Times,serif" font-size="14.00">ContinuityBoundaryConditionsElectrons</text>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsElectrons -->
<g id="edge145" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsElectrons</title>
<g id="a_edge145"><a class="graphinclude">
<path fill="none" d="M1287.26,-535.998C1164.96,-532.294 763.921,-517.799 640,-484 525.861,-452.869 403.858,-381.953 345.704,-345.521"/>
<polygon points="347.255,-342.361 336.93,-339.982 343.517,-348.28 347.255,-342.361"/>
<!-- http://mathhub.info/MitM/Models/poisson?Charge -->
<g id="node18" class="node"><title>http://mathhub.info/MitM/Models/poisson?Charge</title>
<g id="a_node18"><a data-mmt-symref="http://mathhub.info/MitM/Models/poisson?Charge" class="graphtheory">
<ellipse fill="none" cx="760" cy="-250" rx="36.2938" ry="18"/>
<text text-anchor="middle" x="760" y="-246.3" font-family="Times,serif" font-size="14.00">Charge</text>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/poisson?Charge -->
<g id="edge154" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/poisson?Charge</title>
<g id="a_edge154"><a class="graphinclude">
<path fill="none" d="M1287.24,-537.394C1104.89,-538.528 281.939,-532.819 147,-340 137.826,-326.891 136.185,-315.791 147,-304 151.805,-298.762 572.67,-265.574 714.176,-254.552"/>
<polygon points="714.566,-258.033 724.264,-253.767 714.022,-251.054 714.566,-258.033"/>
<!-- http://mathhub.info/MitM/Models/poisson?Displacement -->
<g id="node21" class="node"><title>http://mathhub.info/MitM/Models/poisson?Displacement</title>
<g id="a_node21"><a data-mmt-symref="http://mathhub.info/MitM/Models/poisson?Displacement" class="graphtheory">
<ellipse fill="none" cx="1426" cy="-250" rx="59.5901" ry="18"/>
<text text-anchor="middle" x="1426" y="-246.3" font-family="Times,serif" font-size="14.00">Displacement</text>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/poisson?Displacement -->
<g id="edge165" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/poisson?Displacement</title>
<g id="a_edge165"><a class="graphinclude">
<path fill="none" d="M1293.61,-527.606C1206.29,-498.268 959.748,-404.302 1047,-304 1067.1,-280.896 1254.81,-263.582 1358.29,-255.701"/>
<polygon points="1358.63,-259.185 1368.34,-254.945 1358.11,-252.205 1358.63,-259.185"/>
<!-- http://mathhub.info/MitM/Models/device?DeviceOperationState -->
<g id="node22" class="node"><title>http://mathhub.info/MitM/Models/device?DeviceOperationState</title>
<g id="a_node22"><a data-mmt-symref="http://mathhub.info/MitM/Models/device?DeviceOperationState" class="graphtheory">
<ellipse fill="none" cx="1896" cy="-394" rx="88.2844" ry="18"/>
<text text-anchor="middle" x="1896" y="-390.3" font-family="Times,serif" font-size="14.00">DeviceOperationState</text>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/device?DeviceOperationState -->
<g id="edge169" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/device?DeviceOperationState</title>
<g id="a_edge169"><a class="graphinclude">
<path fill="none" d="M1358.81,-537.052C1432.12,-536.168 1603.77,-528.996 1739,-484 1785.95,-468.379 1834.71,-438.165 1865.19,-417.305"/>
<polygon points="1867.45,-420.002 1873.66,-411.425 1863.45,-414.252 1867.45,-420.002"/>
<!-- http://mathhub.info/MitM/Models/densities?DensityElectrons -->
<g id="node23" class="node"><title>http://mathhub.info/MitM/Models/densities?DensityElectrons</title>
<g id="a_node23"><a data-mmt-symref="http://mathhub.info/MitM/Models/densities?DensityElectrons" class="graphtheory">
<ellipse fill="none" cx="2049" cy="-322" rx="71.4873" ry="18"/>
<text text-anchor="middle" x="2049" y="-318.3" font-family="Times,serif" font-size="14.00">DensityElectrons</text>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/densities?DensityElectrons -->
<g id="edge174" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/densities?DensityElectrons</title>
<g id="a_edge174"><a class="graphinclude">
<path fill="none" d="M1358.72,-535.324C1485.58,-528.662 1912.03,-499.997 2010,-412 2027.98,-395.851 2038.05,-369.906 2043.43,-350.186"/>
<polygon points="2046.89,-350.798 2045.9,-340.249 2040.09,-349.112 2046.89,-350.798"/>
<!-- http://mathhub.info/MitM/Models/device?DopingProfile -->
<g id="node24" class="node"><title>http://mathhub.info/MitM/Models/device?DopingProfile</title>
<g id="a_node24"><a data-mmt-symref="http://mathhub.info/MitM/Models/device?DopingProfile" class="graphtheory">
<ellipse fill="none" cx="585" cy="-322" rx="61.1893" ry="18"/>
<text text-anchor="middle" x="585" y="-318.3" font-family="Times,serif" font-size="14.00">DopingProfile</text>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/device?DopingProfile -->
<g id="edge178" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/device?DopingProfile</title>
<g id="a_edge178"><a class="graphinclude">
<path fill="none" d="M1287.25,-535.959C1159.66,-531.988 731.603,-516.351 680,-484 630.862,-453.194 604.035,-386.946 592.314,-349.747"/>
<polygon points="595.637,-348.645 589.402,-340.079 588.934,-350.664 595.637,-348.645"/>
<!-- http://mathhub.info/MitM/Models/device?DeviceGeometry -->
<g id="node26" class="node"><title>http://mathhub.info/MitM/Models/device?DeviceGeometry</title>
<g id="a_node26"><a data-mmt-symref="http://mathhub.info/MitM/Models/device?DeviceGeometry" class="graphtheory">
<ellipse fill="none" cx="1659" cy="-466" rx="71.4873" ry="18"/>
<text text-anchor="middle" x="1659" y="-462.3" font-family="Times,serif" font-size="14.00">DeviceGeometry</text>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/device?DeviceGeometry -->
<g id="edge188" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/device?DeviceGeometry</title>
<g id="a_edge188"><a class="graphinclude">
<path fill="none" d="M1355.52,-530.225C1410.86,-518.697 1524.25,-495.073 1595.68,-480.193"/>
<polygon points="1596.82,-483.529 1605.9,-478.063 1595.39,-476.676 1596.82,-483.529"/>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsHoles -->
<g id="node27" class="node"><title>http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsHoles</title>
<g id="a_node27"><a data-mmt-symref="http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsHoles" class="graphtheory">
<ellipse fill="none" cx="3012" cy="-322" rx="141.875" ry="18"/>
<text text-anchor="middle" x="3012" y="-318.3" font-family="Times,serif" font-size="14.00">ContinuityBoundaryConditionsHoles</text>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsHoles -->
<g id="edge191" class="edge"><title>http://mathhub.info/MitM/Models/device?Device->http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsHoles</title>
<g id="a_edge191"><a class="graphinclude">
<path fill="none" d="M1358.84,-536.354C1555.36,-532.702 2497.98,-513.745 2624,-484 2652.46,-477.283 2836.88,-386.938 2864,-376 2893.66,-364.037 2927.18,-351.921 2954.81,-342.299"/>
<polygon points="2956.01,-345.584 2964.32,-339.003 2953.72,-338.97 2956.01,-345.584"/>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck -->
<g id="node25" class="node"><title>http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck</title>
<g id="a_node25"><a data-mmt-symref="http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck" class="graphtheory">
<ellipse fill="none" cx="2039" cy="-34" rx="67.6881" ry="18"/>
<text text-anchor="middle" x="2039" y="-30.3" font-family="Times,serif" font-size="14.00">VanRoosbroeck</text>
<!-- http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck -->
<g id="edge180" class="edge"><title>http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck</title>
<g id="a_edge180"><a class="graphinclude">
<path fill="none" d="M1930.59,-160.153C1952.23,-135.173 1992.94,-88.1723 2017.85,-59.4179"/>
<polygon points="2020.52,-61.6752 2024.43,-51.825 2015.23,-57.0921 2020.52,-61.6752"/>
<!-- http://mathhub.info/MitM/Models/continuity?CurrentHoles->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles -->
<g id="edge118" class="edge"><title>http://mathhub.info/MitM/Models/continuity?CurrentHoles->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles</title>
<g id="a_edge118"><a class="graphinclude">
<path fill="none" d="M2547.33,-233.291C2533.82,-223.923 2516.43,-211.875 2501.48,-201.509"/>
<polygon points="2503.21,-198.452 2493,-195.633 2499.22,-204.206 2503.21,-198.452"/>
<!-- http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck -->
<g id="edge182" class="edge"><title>http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck</title>
<g id="a_edge182"><a class="graphinclude">
<path fill="none" d="M2213.51,-160.153C2177.8,-134.541 2109.81,-85.7803 2070.05,-57.2714"/>
<polygon points="2071.71,-54.153 2061.55,-51.1693 2067.63,-59.8414 2071.71,-54.153"/>
<!-- http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/recombination?Recombination -->
<g id="edge7" class="edge"><title>http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/recombination?Recombination</title>
<g id="a_edge7"><a class="graphinclude">
<path fill="none" d="M1893.85,-313.641C1916.85,-310.486 1944.25,-306.873 1969,-304 2131.36,-285.154 2173.69,-294.352 2335,-268 2340.75,-267.061 2346.72,-265.939 2352.67,-264.725"/>
<polygon points="2353.55,-268.117 2362.6,-262.613 2352.09,-261.27 2353.55,-268.117"/>
<!-- http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium -->
<g id="edge17" class="edge"><title>http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium</title>
<g id="a_edge17"><a class="graphinclude">
<path fill="none" d="M1803.43,-308.277C1741.76,-288.495 1616.82,-250.697 1508,-232 1320.42,-199.771 1099.5,-187.069 966.223,-182.111"/>
<polygon points="966.108,-178.605 955.988,-181.74 965.854,-185.6 966.108,-178.605"/>
<!-- http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination -->
<g id="edge30" class="edge"><title>http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination</title>
<g id="a_edge30"><a class="graphinclude">
<path fill="none" d="M1850.78,-304.153C1863.51,-279.732 1887.2,-234.265 1902.26,-205.375"/>
<polygon points="1905.48,-206.753 1907,-196.268 1899.28,-203.518 1905.48,-206.753"/>
<!-- http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/continuity?CurrentHoles -->
<g id="edge38" class="edge"><title>http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/continuity?CurrentHoles</title>
<g id="a_edge38"><a class="graphinclude">
<path fill="none" d="M1893.51,-313.354C1916.56,-310.126 1944.1,-306.536 1969,-304 2196.83,-280.797 2255.97,-298.015 2483,-268 2493.07,-266.669 2503.73,-264.894 2514.01,-262.993"/>
<polygon points="2514.95,-266.375 2524.12,-261.061 2513.64,-259.499 2514.95,-266.375"/>
<!-- http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons -->
<g id="edge50" class="edge"><title>http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons</title>
<g id="a_edge50"><a class="graphinclude">
<path fill="none" d="M1867.72,-305.828C1901.61,-286.38 1963.56,-252.704 2020,-232 2063.89,-215.898 2114.57,-203.208 2155.91,-194.287"/>
<polygon points="2156.88,-197.659 2165.93,-192.157 2155.43,-190.811 2156.88,-197.659"/>
<!-- http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/poisson?PoissonEquation -->
<g id="edge85" class="edge"><title>http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/poisson?PoissonEquation</title>
<g id="a_edge85"><a class="graphinclude">
<path fill="none" d="M1813.59,-306.25C1765.21,-281.143 1671.85,-232.724 1670,-232 1627.01,-215.22 1576.69,-201.638 1538.07,-192.425"/>
<polygon points="1538.55,-188.942 1528.01,-190.061 1536.95,-195.756 1538.55,-188.942"/>
<!-- http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles -->
<g id="edge119" class="edge"><title>http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles</title>
<g id="a_edge119"><a class="graphinclude">
<path fill="none" d="M1882.23,-308.884C1916.37,-298.464 1966.58,-282.814 2010,-268 2053.92,-253.016 2063.01,-243.356 2108,-232 2217.27,-204.419 2247.53,-212.606 2359,-196 2367.68,-194.707 2376.74,-193.338 2385.78,-191.96"/>
<polygon points="2386.59,-195.377 2395.94,-190.405 2385.53,-188.457 2386.59,-195.377"/>
<!-- http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions -->
<g id="edge133" class="edge"><title>http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions</title>
<g id="a_edge133"><a class="graphinclude">
<path fill="none" d="M1822.36,-304.889C1780.03,-271.197 1675.79,-193.633 1574,-160 1497.28,-134.65 1281.66,-119.549 1146.34,-112.296"/>
<polygon points="1146.51,-108.8 1136.34,-111.766 1146.14,-115.79 1146.51,-108.8"/>
<!-- http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/poisson?Charge -->
<g id="edge155" class="edge"><title>http://mathhub.info/MitM/Models/densities?DensityHoles->http://mathhub.info/MitM/Models/poisson?Charge</title>
<g id="a_edge155"><a class="graphinclude">
<path fill="none" d="M1789.35,-314.155C1761.36,-310.708 1726.36,-306.699 1695,-304 1354.39,-274.676 942.511,-257.767 806.237,-252.662"/>
<polygon points="806.277,-249.161 796.154,-252.287 806.017,-256.156 806.277,-249.161"/>
<!-- http://mathhub.info/MitM/Models?Base -->
<g id="node8" class="node"><title>http://mathhub.info/MitM/Models?Base</title>
<g id="a_node8"><a data-mmt-symref="http://mathhub.info/MitM/Models?Base" class="graphtheory">
<ellipse fill="none" cx="2466" cy="-538" rx="27.8951" ry="18"/>
<text text-anchor="middle" x="2466" y="-534.3" font-family="Times,serif" font-size="14.00">Base</text>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/recombination?Recombination -->
<g id="edge1" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/recombination?Recombination</title>
<g id="a_edge1"><a class="graphmeta">
<path fill="none" d="M2473.29,-520.179C2477.33,-509.937 2481.94,-496.464 2484,-484 2491.82,-436.642 2490.48,-423.56 2484,-376 2479.51,-343.093 2481,-332.53 2464,-304 2457.32,-292.787 2447.64,-282.361 2438.26,-273.774"/>
<polygon points="2440.36,-270.96 2430.53,-267.017 2435.76,-276.232 2440.36,-270.96"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium -->
<g id="edge9" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium</title>
<g id="a_edge9"><a class="graphmeta">
<path fill="none" d="M2437.94,-536.491C2231.7,-532.695 956.339,-508.297 879,-484 785.501,-454.626 751.344,-429.761 712,-340 698.977,-310.287 702.676,-300.331 700,-268 698.68,-252.055 690.817,-245.103 700,-232 712.884,-213.616 732.828,-201.584 753.878,-193.717"/>
<polygon points="755.278,-196.937 763.606,-190.388 753.011,-190.315 755.278,-196.937"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination -->
<g id="edge23" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/recombination?SpontaneousRecombination</title>
<g id="a_edge23"><a class="graphmeta">
<path fill="none" d="M2483.77,-524.009C2543.22,-479.089 2726.47,-327.856 2637,-232 2597.33,-189.5 2172.97,-200.474 2115,-196 2084.25,-193.626 2050.85,-190.85 2020.34,-188.237"/>
<polygon points="2020.38,-184.728 2010.12,-187.358 2019.78,-191.702 2020.38,-184.728"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?CurrentHoles -->
<g id="edge32" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?CurrentHoles</title>
<g id="a_edge32"><a class="graphmeta">
<path fill="none" d="M2474.37,-520.506C2479.48,-510.154 2485.97,-496.452 2491,-484 2520.62,-410.668 2548.72,-321.527 2562,-277.807"/>
<polygon points="2565.36,-278.784 2564.91,-268.199 2558.66,-276.76 2565.36,-278.784"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons -->
<g id="edge42" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons</title>
<g id="a_edge42"><a class="graphmeta">
<path fill="none" d="M2493.95,-536.961C2533.31,-535.315 2604.66,-526.229 2644,-484 2677.52,-448.023 2686.63,-316.877 2692,-268 2693.75,-252.096 2702.69,-243.906 2692,-232 2642.28,-176.613 2432.87,-205.137 2359,-196 2348.95,-194.757 2338.44,-193.391 2327.99,-191.992"/>
<polygon points="2328.38,-188.513 2318,-190.643 2327.44,-195.45 2328.38,-188.513"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/densities?DensityHoles -->
<g id="edge56" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/densities?DensityHoles</title>
<g id="a_edge56"><a class="graphmeta">
<path fill="none" d="M2437.89,-536.679C2362.12,-535.233 2147.74,-527.312 1976,-484 1893.65,-463.233 1846.41,-482.463 1799,-412 1785,-391.195 1800.99,-365.144 1817.3,-346.614"/>
<polygon points="1819.98,-348.877 1824.22,-339.17 1814.85,-344.11 1819.98,-348.877"/>
<!-- http://mathhub.info/MitM/Models/continuity?Mobilities -->
<g id="node9" class="node"><title>http://mathhub.info/MitM/Models/continuity?Mobilities</title>
<g id="a_node9"><a data-mmt-symref="http://mathhub.info/MitM/Models/continuity?Mobilities" class="graphtheory">
<ellipse fill="none" cx="2745" cy="-322" rx="47.3916" ry="18"/>
<text text-anchor="middle" x="2745" y="-318.3" font-family="Times,serif" font-size="14.00">Mobilities</text>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?Mobilities -->
<g id="edge79" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?Mobilities</title>
<g id="a_edge79"><a class="graphmeta">
<path fill="none" d="M2493.76,-534.435C2549.9,-528.689 2674.15,-512.961 2704,-484 2708.86,-479.282 2728.68,-394.724 2738.88,-350.092"/>
<polygon points="2742.32,-350.717 2741.13,-340.19 2735.5,-349.164 2742.32,-350.717"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/poisson?PoissonEquation -->
<g id="edge80" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/poisson?PoissonEquation</title>
<g id="a_edge80"><a class="graphmeta">
<path fill="none" d="M2438.19,-536.061C2322.67,-531.977 1884.25,-514.571 1831,-484 1763.21,-445.076 1774.13,-404.526 1730,-340 1719.14,-324.127 1720.55,-316.572 1706,-304 1677.72,-279.564 1660.4,-289.745 1630,-268 1611.85,-255.017 1613.3,-244.77 1595,-232 1574,-217.344 1548.29,-205.284 1526.15,-196.39"/>
<polygon points="1527.17,-193.031 1516.58,-192.652 1524.62,-199.551 1527.17,-193.031"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons -->
<g id="edge95" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons</title>
<g id="a_edge95"><a class="graphmeta">
<path fill="none" d="M2437.96,-536.387C2281.67,-532.863 1521.63,-514.276 1422,-484 1325.22,-454.59 1227.19,-383.034 1180.73,-346.022"/>
<polygon points="1182.92,-343.288 1172.93,-339.745 1178.53,-348.741 1182.92,-343.288"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/densities?ElectrostaticPotential -->
<g id="edge98" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/densities?ElectrostaticPotential</title>
<g id="a_edge98"><a class="graphmeta">
<path fill="none" d="M2438.06,-536.396C2290.67,-533.078 1609.18,-516.038 1579,-484 1544.81,-447.71 1567.89,-384.713 1585.42,-349.236"/>
<polygon points="1588.71,-350.498 1590.17,-340.004 1582.48,-347.297 1588.71,-350.498"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?CurrentElectrons -->
<g id="edge101" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?CurrentElectrons</title>
<g id="a_edge101"><a class="graphmeta">
<path fill="none" d="M2462.81,-520.105C2454.13,-478.346 2426.41,-368.957 2364,-304 2348.78,-288.157 2327.84,-276.421 2308.38,-268.077"/>
<polygon points="2309.56,-264.778 2298.98,-264.25 2306.92,-271.262 2309.56,-264.778"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles -->
<g id="edge111" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles</title>
<g id="a_edge111"><a class="graphmeta">
<path fill="none" d="M2493.34,-533.209C2632.63,-513.334 3253.15,-417.739 3163,-304 3091.99,-214.414 2755.27,-189.012 2578.29,-181.826"/>
<polygon points="2578.29,-178.323 2568.16,-181.427 2578.02,-185.318 2578.29,-178.323"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/densities?FermiPotentialHoles -->
<g id="edge125" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/densities?FermiPotentialHoles</title>
<g id="a_edge125"><a class="graphmeta">
<path fill="none" d="M2438.01,-536.929C2285.38,-536.357 1557.2,-531.157 1470,-484 1415.15,-454.34 1379.12,-386.845 1362.54,-349.347"/>
<polygon points="1365.72,-347.876 1358.56,-340.062 1359.28,-350.632 1365.72,-347.876"/>
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions -->
<g id="edge128" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions</title>
<g id="a_edge128"><a class="graphmeta">
<path fill="none" d="M2437.9,-537.261C2284.98,-538.441 1551.82,-540.991 1334,-484 1195.94,-447.876 1126.06,-458.809 1047,-340 1004.7,-276.428 1015.98,-180.291 1024.9,-133.908"/>
<polygon points="1028.34,-134.511 1026.91,-124.014 1021.48,-133.115 1028.34,-134.511"/>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsElectrons -->
<g id="edge143" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsElectrons</title>
<g id="a_edge143"><a class="graphmeta">
<path fill="none" d="M2438.08,-536.476C2218.18,-532.312 771.345,-504.209 682,-484 674.746,-482.359 443.831,-378.942 437,-376 411.618,-365.068 383.254,-353.114 359.875,-343.331"/>
<polygon points="361.092,-340.046 350.516,-339.419 358.392,-346.505 361.092,-340.046"/>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/poisson?Charge -->
<g id="edge147" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/poisson?Charge</title>
<g id="a_edge147"><a class="graphmeta">
<path fill="none" d="M2437.88,-537.177C2267.89,-538.054 1375.82,-539.888 1109,-484 937.504,-448.079 840.71,-484.767 742,-340 729.237,-321.281 736.477,-295.53 745.284,-276.541"/>
<polygon points="748.432,-278.07 749.792,-267.563 742.177,-274.929 748.432,-278.07"/>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models/densities?BandstructureParameters -->
<g id="node19" class="node"><title>http://mathhub.info/MitM/Models/densities?BandstructureParameters</title>
<g id="a_node19"><a data-mmt-symref="http://mathhub.info/MitM/Models/densities?BandstructureParameters" class="graphtheory">
<ellipse fill="none" cx="2181" cy="-394" rx="99.3824" ry="18"/>
<text text-anchor="middle" x="2181" y="-390.3" font-family="Times,serif" font-size="14.00">BandstructureParameters</text>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/densities?BandstructureParameters -->
<g id="edge160" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/densities?BandstructureParameters</title>
<g id="a_edge160"><a class="graphmeta">
<path fill="none" d="M2444.58,-526.327C2397.42,-502.83 2283.93,-446.284 2222.38,-415.615"/>
<polygon points="2223.83,-412.432 2213.32,-411.105 2220.71,-418.697 2223.83,-412.432"/>
</a>
</g>
</g>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/poisson?Displacement -->
<g id="edge162" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/poisson?Displacement</title>
<g id="a_edge162"><a class="graphmeta">
<path fill="none" d="M2438.09,-536.936C2293.71,-536.397 1635.32,-531.343 1559,-484 1519.7,-459.621 1461.34,-332.868 1437.14,-277.231"/>
<polygon points="1440.34,-275.809 1433.16,-268.016 1433.91,-278.584 1440.34,-275.809"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/device?DeviceOperationState -->
<g id="edge167" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/device?DeviceOperationState</title>
<g id="a_edge167"><a class="graphmeta">
<path fill="none" d="M2438,-536.909C2370.75,-535.937 2195.49,-528.919 2058,-484 2009.62,-468.196 1959.02,-437.817 1927.5,-416.987"/>
<polygon points="1929.4,-414.042 1919.14,-411.385 1925.5,-419.858 1929.4,-414.042"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/densities?DensityElectrons -->
<g id="edge170" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/densities?DensityElectrons</title>
<g id="a_edge170"><a class="graphmeta">
<path fill="none" d="M2437.91,-536.854C2365.95,-534.886 2173.66,-519.314 2073,-412 2057.39,-395.356 2051.72,-369.641 2049.77,-350.124"/>
<polygon points="2053.25,-349.731 2049.02,-340.016 2046.27,-350.246 2053.25,-349.731"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/device?DopingProfile -->
<g id="edge176" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/device?DopingProfile</title>
<g id="a_edge176"><a class="graphmeta">
<path fill="none" d="M2437.87,-536.74C2220.96,-534.662 820.884,-519.882 740,-484 675.59,-455.426 624.56,-386.368 600.342,-348.646"/>
<polygon points="603.053,-346.381 594.771,-339.774 597.125,-350.104 603.053,-346.381"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck -->
<g id="edge179" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck</title>
<g id="a_edge179"><a class="graphmeta">
<path fill="none" d="M2493.92,-534.718C2629.53,-523.268 3213,-469.668 3213,-395 3213,-395 3213,-395 3213,-177 3213,-66.2041 2378.25,-41.2939 2116.52,-36.2065"/>
<polygon points="2116.4,-32.7038 2106.34,-36.013 2116.27,-39.7025 2116.4,-32.7038"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/device?DeviceGeometry -->
<g id="edge187" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/device?DeviceGeometry</title>
<g id="a_edge187"><a class="graphmeta">
<path fill="none" d="M2437.99,-536.195C2341.3,-533.149 2012.68,-520.586 1744,-484 1736.53,-482.983 1728.74,-481.714 1721.03,-480.33"/>
<polygon points="1721.44,-476.848 1710.97,-478.456 1720.16,-483.73 1721.44,-476.848"/>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsHoles -->
<g id="edge189" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsHoles</title>
<g id="a_edge189"><a class="graphmeta">
<path fill="none" d="M2493.5,-533.727C2540.02,-527.621 2636.74,-512.459 2714,-484 2815.4,-446.647 2924.78,-379.957 2978.43,-345.297"/>
<polygon points="2980.39,-348.202 2986.87,-339.817 2976.57,-342.333 2980.39,-348.202"/>
<!-- http://mathhub.info/MitM/Models/poisson?PoissonParameters -->
<g id="node28" class="node"><title>http://mathhub.info/MitM/Models/poisson?PoissonParameters</title>
<g id="a_node28"><a data-mmt-symref="http://mathhub.info/MitM/Models/poisson?PoissonParameters" class="graphtheory">
<ellipse fill="none" cx="901" cy="-322" rx="77.1866" ry="18"/>
<text text-anchor="middle" x="901" y="-318.3" font-family="Times,serif" font-size="14.00">PoissonParameters</text>
<!-- http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/poisson?PoissonParameters -->
<g id="edge193" class="edge"><title>http://mathhub.info/MitM/Models?Base->http://mathhub.info/MitM/Models/poisson?PoissonParameters</title>
<g id="a_edge193"><a class="graphmeta">
<path fill="none" d="M2438.13,-536.558C2264.14,-533.698 1330.44,-516.907 1208,-484 1098.99,-454.703 984.922,-381.914 931.721,-345.088"/>
<polygon points="933.616,-342.142 923.414,-339.285 929.608,-347.881 933.616,-342.142"/>
<!-- http://mathhub.info/MitM/Models/continuity?Mobilities->http://mathhub.info/MitM/Models/continuity?CurrentHoles -->
<g id="edge40" class="edge"><title>http://mathhub.info/MitM/Models/continuity?Mobilities->http://mathhub.info/MitM/Models/continuity?CurrentHoles</title>
<g id="a_edge40"><a class="graphinclude">
<path fill="none" d="M2713.31,-308.324C2685.49,-297.196 2644.75,-280.902 2613.82,-268.527"/>
<polygon points="2614.73,-265.123 2604.15,-264.659 2612.13,-271.622 2614.73,-265.123"/>
<!-- http://mathhub.info/MitM/Models/continuity?Mobilities->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons -->
<g id="edge52" class="edge"><title>http://mathhub.info/MitM/Models/continuity?Mobilities->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons</title>
<g id="a_edge52"><a class="graphinclude">
<path fill="none" d="M2740.91,-303.748C2735.02,-280.498 2723.6,-240.977 2712,-232 2649.64,-183.737 2437.28,-205.443 2359,-196 2348.86,-194.777 2338.27,-193.419 2327.73,-192.019"/>
<polygon points="2328.04,-188.53 2317.66,-190.667 2327.11,-195.467 2328.04,-188.53"/>
<!-- http://mathhub.info/MitM/Models/continuity?Mobilities->http://mathhub.info/MitM/Models/continuity?CurrentElectrons -->
<g id="edge108" class="edge"><title>http://mathhub.info/MitM/Models/continuity?Mobilities->http://mathhub.info/MitM/Models/continuity?CurrentElectrons</title>
<g id="a_edge108"><a class="graphinclude">
<path fill="none" d="M2699.62,-316.347C2623.82,-308.303 2466.77,-290.48 2335,-268 2328.85,-266.95 2322.45,-265.759 2316.07,-264.507"/>
<polygon points="2316.59,-261.042 2306.09,-262.5 2315.21,-267.905 2316.59,-261.042"/>
<!-- http://mathhub.info/MitM/Models/continuity?Mobilities->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles -->
<g id="edge121" class="edge"><title>http://mathhub.info/MitM/Models/continuity?Mobilities->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles</title>
<g id="a_edge121"><a class="graphinclude">
<path fill="none" d="M2747.81,-303.787C2750,-283.807 2750.15,-251.156 2732,-232 2709.69,-208.452 2633.79,-194.838 2569.22,-187.32"/>
<polygon points="2569.3,-183.806 2558.97,-186.165 2568.51,-190.762 2569.3,-183.806"/>
<!-- http://mathhub.info/MitM/Models/poisson?PoissonEquation->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck -->
<g id="edge186" class="edge"><title>http://mathhub.info/MitM/Models/poisson?PoissonEquation->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck</title>
<g id="a_edge186"><a class="graphinclude">
<path fill="none" d="M1524,-164.893C1627.28,-138.845 1870.2,-77.5748 1981.49,-49.5056"/>
<polygon points="1982.68,-52.8153 1991.52,-46.9759 1980.97,-46.0278 1982.68,-52.8153"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium -->
<g id="edge21" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium</title>
<g id="a_edge21"><a class="graphinclude">
<path fill="none" d="M1078.83,-310.404C1038.48,-302.57 988.647,-289.431 948,-268 916.8,-251.55 887.126,-223.799 867.912,-203.652"/>
<polygon points="870.218,-200.993 860.834,-196.075 865.103,-205.772 870.218,-200.993"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons -->
<g id="edge54" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons</title>
<g id="a_edge54"><a class="graphinclude">
<path fill="none" d="M1223.41,-309.631C1235.28,-307.735 1247.49,-305.801 1259,-304 1363.83,-287.599 1390.85,-288.243 1495,-268 1563.15,-254.755 1578.47,-243.134 1647,-232 1670.41,-228.196 1966.57,-202.343 2130.15,-188.201"/>
<polygon points="2130.58,-191.676 2140.24,-187.328 2129.98,-184.702 2130.58,-191.676"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/poisson?PoissonEquation -->
<g id="edge86" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/poisson?PoissonEquation</title>
<g id="a_edge86"><a class="graphinclude">
<path fill="none" d="M1185.49,-304.93C1222.92,-286.598 1286.41,-256.053 1342,-232 1370.5,-219.667 1402.87,-206.832 1428.66,-196.882"/>
<polygon points="1430.12,-200.071 1438.19,-193.217 1427.6,-193.537 1430.12,-200.071"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/continuity?CurrentElectrons -->
<g id="edge109" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/continuity?CurrentElectrons</title>
<g id="a_edge109"><a class="graphinclude">
<path fill="none" d="M1220.71,-309.046C1233.4,-307.117 1246.58,-305.322 1259,-304 1436.16,-285.134 1972.04,-262.353 2175.49,-254.141"/>
<polygon points="2175.66,-257.637 2185.51,-253.738 2175.38,-250.643 2175.66,-257.637"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles -->
<g id="edge123" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles</title>
<g id="a_edge123"><a class="graphinclude">
<path fill="none" d="M1222.49,-309.386C1234.65,-307.489 1247.18,-305.618 1259,-304 1399.48,-284.768 1435.35,-285.951 1576,-268 1689.1,-253.566 1716.6,-243.879 1830,-232 2064.37,-207.449 2124.79,-222.02 2359,-196 2368.41,-194.955 2378.24,-193.687 2388,-192.321"/>
<polygon points="2388.71,-195.754 2398.11,-190.866 2387.71,-188.825 2388.71,-195.754"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions -->
<g id="edge134" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions</title>
<g id="a_edge134"><a class="graphinclude">
<path fill="none" d="M1143.22,-303.849C1121.84,-266.348 1070.84,-176.881 1045.62,-132.652"/>
<polygon points="1048.65,-130.889 1040.65,-123.935 1042.57,-134.356 1048.65,-130.889"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/poisson?Charge -->
<g id="edge158" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialElectrons->http://mathhub.info/MitM/Models/poisson?Charge</title>
<g id="a_edge158"><a class="graphinclude">
<path fill="none" d="M1085.44,-308.967C1004.76,-294.596 872.157,-270.977 803.79,-258.8"/>
<polygon points="804.244,-255.326 793.785,-257.018 803.016,-262.217 804.244,-255.326"/>
<!-- http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium -->
<g id="edge10" class="edge"><title>http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium</title>
<g id="a_edge10"><a class="graphinclude">
<path fill="none" d="M1562.44,-305.688C1544.62,-296.866 1524.17,-284.27 1510,-268 1498.61,-254.931 1509.02,-242.194 1495,-232 1453.35,-201.713 1142.2,-187.69 966.29,-182.123"/>
<polygon points="966.306,-178.621 956.201,-181.808 966.087,-185.618 966.306,-178.621"/>
<!-- http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/continuity?CurrentHoles -->
<g id="edge33" class="edge"><title>http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/continuity?CurrentHoles</title>
<g id="a_edge33"><a class="graphinclude">
<path fill="none" d="M1674.45,-313.005C1705.5,-309.869 1741.97,-306.443 1775,-304 2089.22,-280.762 2170.26,-306.308 2483,-268 2493.08,-266.765 2503.75,-265.037 2514.03,-263.152"/>
<polygon points="2514.97,-266.535 2524.14,-261.227 2513.66,-259.659 2514.97,-266.535"/>
<!-- http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons -->
<g id="edge53" class="edge"><title>http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons</title>
<g id="a_edge53"><a class="graphinclude">
<path fill="none" d="M1647.97,-306.982C1713.05,-288.272 1833.13,-254.849 1937,-232 2007.68,-216.452 2088.51,-202.383 2148.45,-192.654"/>
<polygon points="2149.32,-196.058 2158.64,-191.009 2148.21,-189.148 2149.32,-196.058"/>
<!-- http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/poisson?PoissonEquation -->
<g id="edge88" class="edge"><title>http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/poisson?PoissonEquation</title>
<g id="a_edge88"><a class="graphinclude">
<path fill="none" d="M1578.95,-304.395C1566.93,-294.443 1551.93,-281.193 1540,-268 1521.9,-247.987 1504.21,-222.839 1492.04,-204.385"/>
<polygon points="1494.91,-202.387 1486.53,-195.915 1489.05,-206.205 1494.91,-202.387"/>
<!-- http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/continuity?CurrentElectrons -->
<g id="edge103" class="edge"><title>http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/continuity?CurrentElectrons</title>
<g id="a_edge103"><a class="graphinclude">
<path fill="none" d="M1674.5,-313.038C1800.55,-299.567 2054.45,-272.433 2180.5,-258.962"/>
<polygon points="2181.25,-262.401 2190.82,-257.859 2180.51,-255.441 2181.25,-262.401"/>
<!-- http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles -->
<g id="edge122" class="edge"><title>http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles</title>
<g id="a_edge122"><a class="graphinclude">
<path fill="none" d="M1663.68,-309.851C1719.17,-299.848 1801.69,-284.273 1873,-268 1934.38,-253.993 1948.06,-243.263 2010,-232 2163.42,-204.102 2204.34,-215.914 2359,-196 2368.08,-194.831 2377.56,-193.513 2386.99,-192.14"/>
<polygon points="2387.8,-195.559 2397.18,-190.634 2386.78,-188.634 2387.8,-195.559"/>
<!-- http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions -->
<g id="edge136" class="edge"><title>http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions</title>
<g id="a_edge136"><a class="graphinclude">
<path fill="none" d="M1600.93,-303.882C1601.73,-270.399 1598.19,-196.345 1555,-160 1524.49,-134.326 1292.26,-119.032 1147.38,-111.893"/>
<polygon points="1147.27,-108.384 1137.11,-111.393 1146.93,-115.375 1147.27,-108.384"/>
<!-- http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/poisson?Charge -->
<g id="edge148" class="edge"><title>http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/poisson?Charge</title>
<g id="a_edge148"><a class="graphinclude">
<path fill="none" d="M1526.72,-312.476C1500.91,-309.603 1471.68,-306.495 1445,-304 1204.83,-281.544 916.653,-261.493 806.184,-254.061"/>
<polygon points="806.267,-250.558 796.056,-253.381 805.799,-257.543 806.267,-250.558"/>
<!-- http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/poisson?Displacement -->
<g id="edge163" class="edge"><title>http://mathhub.info/MitM/Models/densities?ElectrostaticPotential->http://mathhub.info/MitM/Models/poisson?Displacement</title>
<g id="a_edge163"><a class="graphinclude">
<path fill="none" d="M1562.24,-305.811C1535.04,-294.865 1498.24,-280.064 1469.75,-268.601"/>
<polygon points="1471.02,-265.338 1460.43,-264.853 1468.4,-271.832 1471.02,-265.338"/>
<!-- http://mathhub.info/MitM/Models/continuity?CurrentElectrons->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons -->
<g id="edge47" class="edge"><title>http://mathhub.info/MitM/Models/continuity?CurrentElectrons->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons</title>
<g id="a_edge47"><a class="graphinclude">
<path fill="none" d="M2250.55,-231.697C2248.55,-223.898 2246.13,-214.509 2243.9,-205.829"/>
<polygon points="2247.28,-204.918 2241.4,-196.104 2240.5,-206.661 2247.28,-204.918"/>
<!-- http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck -->
<g id="edge181" class="edge"><title>http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck</title>
<g id="a_edge181"><a class="graphinclude">
<path fill="none" d="M2423.39,-161.938C2342.3,-135.161 2173.68,-79.4753 2089.33,-51.6198"/>
<polygon points="2090.31,-48.2578 2079.72,-48.4455 2088.11,-54.9048 2090.31,-48.2578"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium -->
<g id="edge18" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium</title>
<g id="a_edge18"><a class="graphinclude">
<path fill="none" d="M1303.02,-307.255C1210.73,-281.356 1011.19,-225.358 909.04,-196.691"/>
<polygon points="909.741,-193.253 899.167,-193.92 907.849,-199.992 909.741,-193.253"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/continuity?CurrentHoles -->
<g id="edge39" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/continuity?CurrentHoles</title>
<g id="a_edge39"><a class="graphinclude">
<path fill="none" d="M1422.36,-312.081C1448.29,-309.084 1477.95,-305.998 1505,-304 1938.78,-271.961 2050.91,-317.859 2483,-268 2493.31,-266.81 2504.23,-265.067 2514.72,-263.145"/>
<polygon points="2515.44,-266.571 2524.61,-261.26 2514.13,-259.695 2515.44,-266.571"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons -->
<g id="edge51" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/continuity?ContinuityEquationElectrons</title>
<g id="a_edge51"><a class="graphinclude">
<path fill="none" d="M1413.27,-309.576C1508.63,-291.955 1698.37,-257.512 1860,-232 1956.07,-216.837 2066.25,-201.595 2142.58,-191.374"/>
<polygon points="2143.21,-194.822 2152.65,-190.028 2142.28,-187.884 2143.21,-194.822"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/poisson?PoissonEquation -->
<g id="edge92" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/poisson?PoissonEquation</title>
<g id="a_edge92"><a class="graphinclude">
<path fill="none" d="M1348.07,-303.922C1344.67,-284.665 1342.32,-253.272 1357,-232 1370.09,-213.032 1391.61,-200.767 1412.78,-192.874"/>
<polygon points="1414.13,-196.11 1422.45,-189.547 1411.85,-189.491 1414.13,-196.11"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles -->
<g id="edge120" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/continuity?ContinuityEquationHoles</title>
<g id="a_edge120"><a class="graphinclude">
<path fill="none" d="M1424.77,-312.91C1450.15,-310.088 1478.84,-306.903 1505,-304 1649.44,-287.976 1697.4,-327.467 1830,-268 1851.82,-258.213 1848,-241.383 1870,-232 1970.23,-189.253 2250.74,-208.331 2359,-196 2368.4,-194.929 2378.24,-193.645 2387.99,-192.269"/>
<polygon points="2388.71,-195.702 2398.1,-190.808 2387.71,-188.774 2388.71,-195.702"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions -->
<g id="edge140" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions</title>
<g id="a_edge140"><a class="graphinclude">
<path fill="none" d="M1327.61,-304.74C1270.88,-266.918 1129.95,-172.966 1064.9,-129.598"/>
<polygon points="1066.5,-126.46 1056.24,-123.825 1062.62,-132.284 1066.5,-126.46"/>
<!-- http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/poisson?Charge -->
<g id="edge156" class="edge"><title>http://mathhub.info/MitM/Models/densities?FermiPotentialHoles->http://mathhub.info/MitM/Models/poisson?Charge</title>
<g id="a_edge156"><a class="graphinclude">
<path fill="none" d="M1292.08,-309.364C1281.1,-307.426 1269.72,-305.547 1259,-304 1171.9,-291.432 911.514,-265.694 805.581,-255.399"/>
<polygon points="805.816,-251.905 795.524,-254.423 805.139,-258.873 805.816,-251.905"/>
<!-- http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck -->
<g id="edge184" class="edge"><title>http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck</title>
<g id="a_edge184"><a class="graphinclude">
<path fill="none" d="M1130.87,-98.0644C1332.85,-84.0385 1785.77,-52.5856 1964.46,-40.1763"/>
<polygon points="1964.82,-43.6598 1974.55,-39.4754 1964.34,-36.6767 1964.82,-43.6598"/>
<!-- http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsElectrons->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck -->
<g id="edge185" class="edge"><title>http://mathhub.info/MitM/Models/continuity?ContinuityBoundaryConditionsElectrons->http://mathhub.info/MitM/Models/VanRoosbroeck?VanRoosbroeck</title>
<g id="a_edge185"><a class="graphinclude">
<path fill="none" d="M319.179,-303.88C336.325,-270.054 379.511,-194.915 440,-160 623.405,-54.1365 700.279,-108.998 911,-88 1304.46,-48.7922 1778.09,-38.4667 1961.35,-35.8502"/>
<polygon points="1961.48,-39.3488 1971.43,-35.7099 1961.39,-32.3495 1961.48,-39.3488"/>
<!-- http://mathhub.info/MitM/Models/poisson?Charge->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium -->
<g id="edge20" class="edge"><title>http://mathhub.info/MitM/Models/poisson?Charge->http://mathhub.info/MitM/Models/poisson?ThermodynamicEquilibrium</title>
<g id="a_edge20"><a class="graphinclude">
<path fill="none" d="M778.238,-234.155C789.671,-224.849 804.647,-212.66 817.611,-202.107"/>
<polygon points="819.827,-204.816 825.374,-195.789 815.408,-199.387 819.827,-204.816"/>
<!-- http://mathhub.info/MitM/Models/poisson?Charge->http://mathhub.info/MitM/Models/poisson?PoissonEquation -->
<g id="edge94" class="edge"><title>http://mathhub.info/MitM/Models/poisson?Charge->http://mathhub.info/MitM/Models/poisson?PoissonEquation</title>
<g id="a_edge94"><a class="graphinclude">
<path fill="none" d="M791.149,-240.33C803.2,-237.267 817.16,-234.073 830,-232 1032.87,-199.25 1275.03,-186.254 1397.2,-181.495"/>
<polygon points="1397.35,-184.992 1407.21,-181.113 1397.08,-177.997 1397.35,-184.992"/>
<!-- http://mathhub.info/MitM/Models/poisson?Charge->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions -->
<g id="edge142" class="edge"><title>http://mathhub.info/MitM/Models/poisson?Charge->http://mathhub.info/MitM/Models/poisson?PoissonBoundaryConditions</title>
<g id="a_edge142"><a class="graphinclude">
<path fill="none" d="M744.94,-233.264C728.476,-214.135 706.717,-181.722 725,-160 749.297,-131.132 838.497,-117.988 914.367,-112.003"/>
<polygon points="914.79,-115.481 924.499,-111.239 914.264,-108.501 914.79,-115.481"/>
<!-- http://mathhub.info/MitM/Models/densities?BandstructureParameters->http://mathhub.info/MitM/Models/recombination?Recombination -->
