Generalized kinetic equations of dynamic system interacting with non-equilibrium medium

TL;DR

This paper derives formally exact kinetic equations describing the interaction between a dynamical system and a non-equilibrium medium, including scattering integrals, with applications demonstrated.

Contribution

It introduces a new formalism for kinetic equations of systems interacting with non-equilibrium media, including second-order perturbation expressions.

Findings

Derived exact kinetic equations for the system and medium

Presented scattering integral in second-order perturbation

Applied equations to simple cases

Abstract

The behavior of dynamical system interacting with non-equilibrium medium is investigated. Formally exact kinetic equations are derived for the statistical operator of the dynamical system and the macroscopic parameters of the medium. In the second order of perturbation with respect of interaction of the system with the medium, expression for the scattering integral is presented. The simplest applications of the obtained equations are considered.