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Electron relaxation in metals: theory and exact analytical solutions

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journal contribution
posted on 25.02.2009, 13:14 by V.V. Kabanov, A.S. Alexandrov
The nonequilibrium dynamics of electrons is of a great experimental and theoretical value, providing important microscopic parameters of the Coulomb and electron-phonon interactions in metals and other cold plasmas. Because of the mathematical complexity of collision integrals, theories of electron relaxation often rely on the assumption that electrons are in a “quasiequilibrium” QE with a time-dependent temperature, or on the numerical integration of the time-dependent Boltzmann equation. We transform the integral Boltzmann equation to a partial differential Schrödinger-type equation with imaginary time in a one-dimensional “coordinate” space reciprocal to energy which allows for exact analytical solutions in both cases of electron-electron and electron-phonon relaxations. The exact relaxation rates are compared with the QE relaxation rates at high and low temperatures.

History

School

  • Science

Department

  • Physics

Citation

KABANOV, V.V. and ALEXANDROV, A.S., 2008. Electron relaxation in metals: theory and exact analytical solutions. Physical Review B, 78(17), 174514 pp. 1-8.

Publisher

© American Physical Society

Version

VoR (Version of Record)

Publication date

2008

Notes

This article has been published in the journal, Physical Review B [© American Physical Society]. The definitive version is available at: http://link.aps.org/doi/10.1103/PhysRevB.78.174514

ISSN

1098-0121

Language

en

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