Limit distribution functions in classical statistical physics
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 3, pp. 388-401
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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.
@article{TMF_1974_21_3_a9,
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},
pages = {388--401},
publisher = {mathdoc},
volume = {21},
number = {3},
year = {1974},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1974_21_3_a9/}
}
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/