Sine-gordon transformations in nonequilibrium systems of Brownian particles
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.
English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 10, pp 1578-1597.
Citation Example: Skrypnik W. I. Sine-gordon transformations in nonequilibrium systems of Brownian particles // Ukr. Mat. Zh. - 1997. - 49, № 10. - pp. 1404–1421.