Linear kinetic equation: long-time behavior of one-particle distribution function

S. B. Vrhovac (), Z. M. Jakšić, Lj. Budinski-Petković and A. Belić

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 53, issue 2, 225-232

Abstract: We construct asymptotic (long-time) solution of the linear Boltzmann equation using the time-dependent perturbation theory generalized to non-Hermitian operators. We prove that for times much larger than the relaxation time τ 0 , t ≫τ 0 , one-particle distribution function separates into spatio-temporal and velocity dependent parts, and provide the explicit expression for the long-time solution of the linear Boltzmann equation. Our analysis does not assume that relative density gradients $n^{-1}(\partial / \partial \mathaccent"017E{r}) n$ are small. It relates the hydrodynamic form of the one-particle distribution function to spectral properties of operators involved in linear Boltzmann equation. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 51.10.+y Kinetic and transport theory of gases; 05.20.Dd Kinetic theory (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00369-4

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