Nonlinear Closure Relations for Electron Transport in Hydrodynamical Models

<table>The free parameter <svg height="8.3000002" id="M243" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 9.7250004 8.3000002" width="9.7250004" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,8.038)"><path d="M548 455q-32 -77 -74 -77q-37 0 -103 10l-3 -2q36 -30 48.5 -62t12.5 -80q0 -103 -75 -179.5t-175 -76.5q-70 0 -113 45t-43 128q0 115 83.5 200.5t209.5 85.5q31 0 77.5 -4t67.5 -4q36 0 62 30zM350 274q0 54 -17 86q-19 35 -57 35q-50 0 -90 -37.5t-59 -91.5t-19 -109
q0 -61 24.5 -96.5t65.5 -35.5q51 0 87.5 46.5t50.5 100.5t14 102z" id="x1D70E"></path></g>
</svg> from (<a href="https://static.hindawi.com/articles/jther/volume-2013/915297/figures/#EEq44">46</a>) versus electric field <svg height="11.6125" id="M244" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.4625 11.6125" width="11.4625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.55)"><path d="M613 208h28l-40 -208h-585v25q54 6 71 21t17 55v479q0 38 -18 53t-70 18v25h577v-201h-25q-16 100 -66 133q-47 34 -171 34q-38 0 -51.5 -12t-13.5 -42v-225q82 2 117 32q36 31 45 117h26v-338h-26q-7 88 -43 121q-35 34 -119 34v-242q0 -32 17.5 -44t65.5 -12
q117 0 182 54q24 20 41 45.5t41 77.5z" id="x1D404"></path></g>
</svg>.</table>

Journal of Thermodynamics

fig1

Figure 1

Figure 1: Nonlinear Closure Relations for Electron Transport in Hydrodynamical Models 