Abstract
Finite volume grand canonical correlation functions of nonequilibrium systems of d-dimensional Brownian particles, interacting through a regular (long-range) pair potential with integrable first partial derivatives, are expressed in terms of the expectation values of a Gaussian random field. The initial correlation functions coincide with the Gibbs correlation functions corresponding to a more general pair long-range potential. Nonequilibrium Euclidean action is introduced, satisfying a thermodynamic stability property.
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Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Published in Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 10, pp. 1404–1421, October, 1997.
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Skrypnik, V.I. Sine-gordon transformations in nonequilibrium systems of Brownian particles. Ukr Math J 49, 1578–1597 (1997). https://doi.org/10.1007/BF02487443
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DOI: https://doi.org/10.1007/BF02487443