Literature Cited
N. N. Bogolyubov, “Problems of a dynamical theory in statistical physics,” in: Studies in Statistical Mechanics, Vol. 1 (eds. J. de Boer and G. E. Uhlenbeck), North-Holland, Amsterdam (1962).
N. N. Bogolyubov and B. I. Khatset, Dokl. Akad. Nauk SSSR,66, 321 (1949).
N. N. Bogolyubov, D. Ya. Petrina, and B. I. Khatset, Teor. Mat. Fiz.,1, 251 (1969).
D. Ruelle, Ann. Phys. (N. Y.),25, 109 (1963).
D. Ruelle, Rev. Mod. Phys.,36, 580 (1964).
M. Duneau and B. Souillard, Commun. Math. Phys.,47, 155 (1976).
M. Duneau, B. Souillard, and D. Yagolnitzer, J. Math. Phys.,16, 1662 (1975).
N. S. Gonchar, “On the absence of a long-range order in model systems with a repulsive interaction potential,” Preprint ITP-80-65E [in English], Institute of Theoretical Physics, Kiev (1980), p. 41.
R. L. Dobrushin and R. A. Minlos, Teor. Veroyatn. Ee Primen.,12, 592 (1967).
N. S. Gonchar, “The cluster property in continuous systems. Canonical ensemble,” Preprint ITF-81-132R [in Russian], Institute of Theoretical Physics, Kiev (1981).
Additional information
Institute of Theoretical Physics, Ukrainian SSR Academy of Sciences, Kiev. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 57, No. 1, pp. 85–96, October, 1983.
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Gonchar, N.S. Equations for Bogolyubov's reduced distribution functions and their solution for arbitrary values of the particle density. Theor Math Phys 57, 1007–1014 (1983). https://doi.org/10.1007/BF01028177
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DOI: https://doi.org/10.1007/BF01028177