vix.ing · top · new · best · stats · spec

Moment inequalities and high-energy tails for electron distribution function of the Boltzmann transport equation in semiconductors

2006/06/28 by Orazio Muscato, Muscato, Orazio
Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Numerical methods in inverse problems #Statistical Mechanics (cond-mat.stat-mech) #Thermal properties of materials #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0606733

18 pages

arxiv created 2006/06/28 · openalex publication_date 2006/06/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the existence of the high-energy tails for electron distribution function of the Boltzmann equation for semiconductors, in the stationary and homogeneous regime, in the analytic band approximation and scattering with acoustic and optical phonons and impurities. We also prove numerically that the tail is a global maxwellian in the parabolic band approximation, and in the quasi parabolic band case, a power law of the global maxwellian.

Related