This article is cited in 8 papers

Limit distribution functions in classical statistical physics

G. I. Nazin


Abstract: The thermodynamic limit for the partial distribution functions is considered on the basis of Bogolyubov's generating functional method. For one-component systems of hard spheres with binary interaction whose potential at large distances decreases faster than $r_{12}^{-3}$, it is shown that the limit generating functional of the grand canonical ensemble, and when certain “stability conditions” are satisfied, of the canonical ensemble as well: 1) exists in the whole interval of states of the thermodynamic system; 2) defines limit distribution functions; 3) satisfies Bogolyubov's functional equation; 4) can be expanded in a convergent functional Taylor series.

Received: 25.01.1974

 English version: Theoretical and Mathematical Physics, 1974, 21:3, 1223–1233

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