3.2.2 Energy Relaxation Time

Two different models for the energy relaxation time $\tau_{\epsilon,\nu}^{}$ are provided. The first model simply uses a constant, carrier temperature independent $\tau_{\epsilon,\nu}^{}$. For electrons a second model is available which has been derived by curve-fitting to Monte-Carlo simulation results and reads

$$\tau_{\epsilon,n}^{} \tau_{\epsilon,0}^{} \tau_{\epsilon,1}^{} \left(\vphantom{C_1\cdot\left(\frac{T_{n}}{\mathrm{300\ K}}+C_{0}\right)^2+ C_... ...\ K}}+C_{0}\right)+ C_3\cdot \left(\frac{T_{L}}{\mathrm{300\ K}}\right)}\right. \left(\vphantom{\frac{T_{n}}{\mathrm{300\ K}}+C_{0}}\right. {\frac{T_{n}}{\mathrm{300\ K}}} \left.\vphantom{\frac{T_{n}}{\mathrm{300\ K}}+C_{0}}\right)^{2}_{} \left(\vphantom{\frac{T_{n}}{\mathrm{300\ K}}+C_{0}}\right. {\frac{T_{n}}{\mathrm{300\ K}}} \left.\vphantom{\frac{T_{n}}{\mathrm{300\ K}}+C_{0}}\right) \left(\vphantom{\frac{T_{L}}{\mathrm{300\ K}}}\right. {\frac{T_{L}}{\mathrm{300\ K}}} \left.\vphantom{\frac{T_{L}}{\mathrm{300\ K}}}\right) \left.\vphantom{C_1\cdot\left(\frac{T_{n}}{\mathrm{300\ K}}+C_{0}\right)^2+ C_... ...\ K}}+C_{0}\right)+ C_3\cdot \left(\frac{T_{L}}{\mathrm{300\ K}}\right)}\right)$$ (3.34)