Abstract
This paper is the first part of the work whose subject is to investigate the set of stationary solutions ofB-B-G-K-Y hierarchy. We state that under some conditions on the interaction any stationary solution obeying certain restrictions of a general type corresponds to an equilibrium state (in the sense of Dobrushin-Lanford-Ruelle).
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Communicated by J. L. Lebowitz
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Gurevich, B.M., Suhov, J.M. Stationary solutions of the bogoliubov hierarchy equations in classical Statistical Mechanics, 1. Commun.Math. Phys. 49, 63–96 (1976). https://doi.org/10.1007/BF01608637
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DOI: https://doi.org/10.1007/BF01608637