Dissipative Dynamics in Semiconductors at Low Temperature |
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Authors: | George Androulakis Jean Bellissard Christian Sadel |
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Institution: | (1) Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA;(2) Georgia Institute of Technology, School of Mathematics, Atlanta, GA 30332-0160, USA;(3) Department of Mathematics, University of California Irvine, Irvine, CA 92697-3875, USA |
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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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Keywords: | |
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