Thermalization of an electron-phonon system in a nonequilibrium state characterizedby fractal distribution of phonon excitations

Ismo Koponen
Phys. Rev. E 55, 7759 – Published 1 June 1997
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Abstract

The thermalization of an electron-phonon system in a nonequilibrium state characterized by a fractal distribution of phonon excitations is calculated in a novel way, which takes into account the unusual, inverse power-law type distribution of phonon energies. The calculations are done from the first principles, based on a nonequilibrium statistical operator combined with the recently proposed generalized, nonextensive thermostatistics. As a result the usual linear (Newtonian) energy transfer rate Q-|Ap∝-(Tp-Te) is replaced by a nonlinear rate Q-|Ap∝-(Tpq-Teq), where q⩾1 is related to the fractality of the excitation energy distribution. Consequences of this result for a thermal relaxation of the nonequilibrium phonon system are discussed.

    DOI:https://doi.org/10.1103/PhysRevE.55.7759

    ©1997 American Physical Society

    Authors & Affiliations

    Ismo Koponen

    • Department of Physics, University of Helsinki, P.O. Box 9, FIN-00014 Helsinki, Finland

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    Vol. 55, Iss. 6 — June 1997

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