Maximum Entropy Principle within A Total Energy Scheme for Hot-carrier Transport in Semiconductor Devices

By extending the maximum entropy principle within a scheme in total average energy we obtain a closed system of hydrodynamic equations for a full nonparabolic band model in which all the unknown constitutive functions are completely determined. The theory is validated by comparing hydrodynamic calculations with Monte Carlo simulations performed for bulk and submicron Si structures at 300 K. In the general framework of the moment theory a systematic study of small‐signal response functions is provided.