The Method of the Description of Dynamics Nonequilibrium Systems within the Frames of the Classical Mechanics

TL;DR

This paper develops a classical mechanics-based method to describe the dynamics of nonequilibrium systems by representing them as interacting equilibrium subsystems, deriving their equations of motion, and linking to thermodynamics.

Contribution

It introduces a novel approach to model nonequilibrium systems within classical mechanics, deriving equations for subsystems and entropy production.

Findings

Derived equations of motion for interacting subsystems

Established Lagrange, Hamilton, and Liouville equations for nonequilibrium systems

Provided a basis for thermodynamics within classical mechanics

Abstract

Within the frames of the analytical mechanics the method of the description of dynamics of nonequilibrium systems of potentially interacting elements is develops. The method is based on an opportunity of representation of nonequilibrium system by set of interacting equilibrium subsystems. The equation of motion of interacting subsystems is found. Based on it the Lagrange, Hamilton and Liouville equations for subsystems are obtained. The expression of an entropy production is found. The way of a substantiation of thermodynamics in the frames of classical mechanic is offered.