Geodesic
Mathematical description of the evolution of infinite systems of classical statistical physics. I. Locally perturbed one-dimensional systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 230-250 Cet article a éte moissonné depuis la source Math-Net.Ru

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An infinite one-dimensional system of elastic spheres is considered. A solution of the Bogolyubov equations is constructed for initial data representing a local perturbation of the equilibrium distribution functions. 
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D. Ya. Petrina. Mathematical description of the evolution of infinite systems of classical statistical physics. I. Locally perturbed one-dimensional systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 230-250. http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a8/

[1] N. N. Bogolyubov, B. I. Khatset, DAN SSSR, 66 (1949), 321 | MR | Zbl

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

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

[4] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, 1946 | MR

[5] D. Ya. Petrina, A. K. Vidybida, Tr. MI AN SSSR, 136 (1975), 370 | MR

[6] G. Gallavotti, O. E. Lanford, J. L. Lebowitz, J. Math. Phys., 11 (1970), 2898 | DOI | MR

[7] Ya. G. Sinai, Yu. M. Sukhov, TMF, 19 (1974), 344 | MR | Zbl

[8] O. E. Lanford, Commun. Math. Phys., 9 (1968), 176 ; 11 (1969), 257 | DOI | MR | Zbl | DOI | MR | Zbl

[9] Ya. G. Sinai, TMF, 11 (1972), 248 ; Вестн. МГУ, 1974, No 1, 152 | MR | MR

[10] E. Presutti, M. Pulvirenti, B. Tirozzi, Commun. Math. Phys., 47 (1976), 81 | DOI | MR

[11] R. L. Dobrushin, J. Fritz, Commun. Math. Phys., 55 (1977), 275 | DOI | MR | Zbl

[12] N. N. Bogolyubov, Preprint OIYaI R-511, 1960; Избранные труды, т. III, «Наукова думка», 1971 | MR

[13] A. K. Vidybida, DAN USSR, ser. «A», 1975, no. 6, 542 | MR

[14] D. Ya. Petrina, A. K. Vidybida, Preprint ITP-73-58E, Kiev, 1973