Electron relaxation in metals: Theory and exact analytical solutions

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dc.creatorKabanov, V. V.
dc.creatorAlexandrov, A. S.
dc.date2008-09-04
dc.date2008-10-20
dc.date.accessioned2026-07-07T10:19:04Z
dc.date.available2026-07-07T10:19:04Z
dc.descriptionThe non-equilibrium 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 "quasi-equilibrium" (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 Schroedinger-like 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 relaxation. The exact relaxation rates are compared with the QE relaxation rates at high and low temperatures.
dc.descriptionCitation list has been extended. The paper is submitted to the Physical Review B
dc.identifierhttps://arxiv.org/abs/0809.0818
dc.identifierhttp://arxiv.org/abs/0809.0818
dc.identifierPhys. Rev. B 78, 174514 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.174514
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174374
dc.subjectSuperconductivity
dc.subjectStrongly Correlated Electrons
dc.titleElectron relaxation in metals: Theory and exact analytical solutions
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