On Polymer Expansion for Gibbsian States of Nonequilibrium Systems of Interacting Brownian Oscillators
The convergence of polymer cluster expansions for correlation functions of general Gibbs oscillator-type systems and related nonequilibrium systems of Brownian oscillators is established. The initial states for the latter are Gibbsian. It is proved that the sequence of the constructed correlation functions of the nonequilibrium system is a generalized solution of a diffusion BBGKY-type hierarchy.
English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 10, pp 1639-1661.
Citation Example: Skrypnik W. I. On Polymer Expansion for Gibbsian States of Nonequilibrium Systems of Interacting Brownian Oscillators // Ukr. Mat. Zh. - 2003. - 55, № 10. - pp. 1356-1377.