This article is cited in 5 papers

Generalized solutions of Gibbs type for the Bogolyubov–Strel'tsova diffusion hierarchy

V. I. Skripnik


Abstract: A generalized solution is constructed for the hierarchy of coupled diffusion equations for the sequence of correlation functions of interacting particles diffusing in a fluid. At the initial time, this solution is identical to Gibbs correlation functions. The solution is obtained in the form of a series in powers of the activity, and the series converges uniformly over a finite time interval.

Received: 05.01.1983

 English version: Theoretical and Mathematical Physics, 1984, 58:3, 260–275

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