English

The modified group expansions for construction of solutions to the BBGKY hierarchy

Statistical Mechanics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/9901143,
  title  = {The modified group expansions for construction of solutions to the BBGKY hierarchy},
  author = {A. E. Kobryn and I. P. Omelyan and M. V. Tokarchuk},
  journal= {arXiv preprint arXiv:cond-mat/9901143},
  year   = {2007}
}

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