Sine-gordon transformations in nonequilibrium systems of Brownian particles

  • W. I. Skrypnik

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.
Published
25.10.1997
How to Cite
SkrypnikW. I. “Sine-Gordon Transformations in Nonequilibrium Systems of Brownian Particles”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 10, Oct. 1997, pp. 1404–1421, https://umj.imath.kiev.ua/index.php/umj/article/view/5138.
Section
Research articles