Geodesic
Limit distribution functions in classical statistical physics
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 3, pp. 388-401 
G. I. Nazin. Limit distribution functions in classical statistical physics. Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 3, pp. 388-401. http://geodesic.mathdoc.fr/item/TMF_1974_21_3_a9/
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     author = {G. I. Nazin},
     title = {Limit distribution functions in classical statistical physics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_21_3_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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