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

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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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Authors and Affiliations

  1. Institute for Condensed Matter Physics of the, Ukrainian National Academy of Sciences, Lviv-11, Ukraine

    A. E. Kobryn, I. P. Omelyan & M. V. Tokarchuk

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  1. A. E. Kobryn
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  2. I. P. Omelyan
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  3. M. V. Tokarchuk
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Kobryn, A.E., Omelyan, I.P. & Tokarchuk, M.V. The Modified Group Expansions for Construction of Solutions to the BBGKY Hierarchy. Journal of Statistical Physics 92, 973–994 (1998). https://doi.org/10.1023/A:1023044610690

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