Some properties of the kinetic equation forelectron transport in semiconductors

Wolfgang Wagner

doi:10.3934/krm.2013.6.955

Article Contents

2013, Volume 6, Issue 4: 955-967. Doi: 10.3934/krm.2013.6.955

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Some properties of the kinetic equation for electron transport in semiconductors

Wolfgang Wagner^1,

1.
Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39 - 10117 Berlin

Received: May 31, 2013

Revised: August 31, 2013

Published: November 2013

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Abstract

The paper studies the kinetic equation for electron transport in semiconductors. New formulas for the heat generation rate are derived by analyzing the basic scattering mechanisms. In addition, properties of the steady state distribution are discussed and possible extensions of the deviational particle Monte Carlo method to the area of electron transport are proposed.

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Mathematics Subject Classification: 82D37, 65C05.

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