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• W2003452046 abstract "The exact markoffian evolution equation for the one-body grand-ensemble distribution function f(t) describing a classical imperfect gas is not closed (the BBGKY hierarchy). The interaction term, i.e., the integral involving the pair potential and the two-body distribution function, of this equation is analyzed with the aid of diagrams after its evolution operator is expanded in pertubation and its initial distribution functions are expanded in terms of correlation functions. It is shown that the hierarchy equation can rigorously be transformed into a closed non-markoffian equation for f. The latter equation contains infinite sets of collision and initial-correlation terms which are most conveniently represented by “connected diagrams”, and which can be expressed in terms of f and initial (arbitrarily given) correlation functions; this equation is found to be identical with the closed equation obtained earlier in the N-particle ensemble theory with the bulk limit." @default.
• W2003452046 created "2016-06-24" @default.
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• W2003452046 date "1974-09-01" @default.
• W2003452046 modified "2023-10-01" @default.
• W2003452046 title "Exact closed evolution equation for one-body distribution function describing an imperfect gas" @default.
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• W2003452046 doi "https://doi.org/10.1016/0031-8914(74)90205-5" @default.
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