Dissipative dynamics in semiconductors at low temperature
Mathematical Physics
2015-05-28 v1 Functional Analysis
math.MP
Abstract
A mathematical model is introduced which describes the dissipation of electrons in lightly doped semi-conductors. The dissipation operator is proved to be densely defined and positive and to generate a Markov semigroup of operators. The spectrum of the dissipation operator is studied and it is shown that zero is a simple eigenvalue, which makes the equilibrium state unique. Also it is shown that there is a gap between zero and the rest of its spectrum which makes the return to equilibrium exponentially fast in time.
Keywords
Cite
@article{arxiv.1107.1248,
title = {Dissipative dynamics in semiconductors at low temperature},
author = {George Androulakis and Jean Bellissard and Christian Sadel},
journal= {arXiv preprint arXiv:1107.1248},
year = {2015}
}
Comments
36 pages, 1 figure