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

A. E. Kobryn·I. P. Omelyan·M. V. Tokarchuk
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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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A. E. Kobryn, I. P. Omelyan, M. V. Tokarchuk. 1999-01-15. The modified group expansions for construction of solutions to the BBGKY hierarchy. https://doi.org/10.1023/a%3A1023044610690

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