In the theory of energy and momentum relaxation in semiconductor devices, the introduction of two temperatures and two mean velocities for electron and phonons is required. A new model, based on an asymptotic procedure for solving the kinetic equations of electrons and phonons is proposed, which naturally gives the displaced Maxwellian at the leading order. After that, balance equations for the electron number, energy densities and momentum densities are constructed, which constitute now a system of five equations for the chemical potential of electrons, the temperatures and the drift velocities. Moreover, Poisson's equation is coupled, in order to calculate the self-consistent electric field. In Bloch's approximation, we derive a telegrapher's-Poisson system for the electron number density and the electric potential, which could allow simple semiconductor calculations, but still including wave propagation effects.
|Titolo:||A new telegrapher's-poisson system in semiconductor theory: A singular perturbation approach|
|Data di pubblicazione:||2015|
|Digital Object Identifier (DOI):||10.3390/e17020528|
|Appare nelle tipologie:||1.1 Articolo in rivista|
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