Geodesic
Limit distribution functions of systems with many-particle interaction in classical statistical physics
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 1, pp. 132-140 
G. I. Nazin. Limit distribution functions of systems with many-particle interaction in classical statistical physics. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 1, pp. 132-140. http://geodesic.mathdoc.fr/item/TMF_1975_25_1_a14/
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     author = {G. I. Nazin},
     title = {Limit distribution functions of systems with many-particle interaction in classical statistical physics},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_25_1_a14/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

For infinite systems of hard balls with many-particle interaction described by potentials with sufficiently rapid decreasing at the infinity, the existence of the limit distribution functions is proved as well as the existence of the generating functional of these functions, satisfying the system of functional equations which represent the generalization of the N. N. Bogoliubov equation for the generating functional of a system with the two-particle interaction.

[1] G. I. Nazin, TMF, 21 (1974), 388 | MR | Zbl

[2] B. G. Abrosimov, Izv. vuzov SSSR, fizika (to appear)

[3] D. Ryuel, Statisticheskaya mekhanika, «Mir», 1971

[4] R. L. Dobrushin, Funkts. analiz, 3 (1969), 27 | MR | Zbl

[5] E. A. Arinshtein, B. G. Abrosimov, G. I. Nazin, Izv. vuzov SSSR, fizika, 12 (1969), 137 | MR

[6] N. N. Bogolyubov, D. Ya. Petrina, B. I. Khatset, TMF, 1 (1969), 251

[7] D. M. Gitman, E. A. Arinshtein, Izv. vuzov SSSR, fizika, 9 (1971), 98 | MR