2008/09/30 by V. V. Kabanov, A. S. Alexandrov · 4 citations
Earth and Planetary Sciences · Physics and Astronomy · #Advanced Chemical Physics Studies #High-pressure geophysics and materials #Theoretical and Computational Physics #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.78.174514
published as Phys. Rev. B 78, 174514 (2008) · Citation list has been extended. The paper is submitted to the Physical Review B
arxiv created 2008/10/20 · openalex publication_date 2008/11/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Schr"odinger-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.