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arXiv · 1107.1248

Dissipative dynamics in semiconductors at low temperature

George Androulakis·Jean Bellissard·Christian Sadel
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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.

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George Androulakis, Jean Bellissard, Christian Sadel. 2011-07-06. Dissipative dynamics in semiconductors at low temperature. https://doi.org/10.1007/s10955-012-0454-5

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