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By extending the maximum entropy principle within a scheme in total average energywe obtain a closed system of hydrodynamic equations for a full nonparabolic bandmodel in which all the unknown constitutive functions are completely determined. Thetheory is validated by comparing hydrodynamic calculations with Monte Carlosimulations performed for bulk and submicron Si structures at 300 K. In the generalframework of the moment theory a systematic study of small-signal response functionsis provided

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