The Modified Group Expansions for Construction of Solutions to the BBGKY Hierarchy

1998/09/01 by A. E. Kobryn, I. P. Omelyan, M. V. Tokarchuk · 1 citation
Mathematics · Physics and Astronomy · #Gas Dynamics and Kinetic Theory #Optical properties and cooling technologies in crystalline materials #Statistical Mechanics and Entropy #cond-mat.stat-mech

paper · pdf · doi:10.1023/a:1023044610690

published as J. Stat. Phys. 92 (1998) 973 · 13 LaTeX 209 pages

openalex publication_date 1998/09/01 · arxiv created 1999/01/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A solution to the BBGKY hierarchy for nonequilibrium distribution functions is obtained within modified boundary conditions. The boundary conditions take into account explicitly both the nonequilibrium one-particle distribution function as well as local conservation laws. As a result, modified group expansions are proposed. On the basis of these expansions, a generalized kinetic equation for hard spheres and a generalized Bogolubov-Lenard-Balescu kinetic equation for a dense electron gas are derived within the polarization approximation.

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• Investigation of transfer coefficients for many-component dense systems of neutral and charged hard spheres

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