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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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13 LaTeX 209 pages

Scientific paper

10.1023/A:1023044610690

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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