The Modified Group Expansions for Construction of Solutions to the BBGKY Hierarchy |
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| Authors: | A E Kobryn I P Omelyan M V Tokarchuk |
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| Institution: | (1) Institute for Condensed Matter Physics of the, Ukrainian National Academy of Sciences, Lviv-11, Ukraine |
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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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| Keywords: | Nonequilibrium distribution function(s) kinetic equation(s) collision integral(s) |
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