On the dynamics and thermodynamics of small Markov-type material systems

TL;DR

This paper investigates the thermodynamic and kinetic properties of small Markov-type material systems, proposing a new kinetic equation consistent with thermodynamic laws and analyzing external influences on their Gibbs distribution.

Contribution

It introduces a novel kinetic equation for small Markov systems that aligns with thermodynamic principles and explores their thermodynamic behavior under external parameters.

Findings

Material systems can be treated as thermodynamic systems under certain conditions.

A new kinetic equation consistent with thermodynamics is proposed.

External parameters influence the Gibbs distribution of small systems.

Abstract

The collective properties of small material systems considered as semidynamical systems revealing the Markov-type irreversible evolution, are investigated. It is shown that these material systems admit their treatment as thermodynamic systems in diathermal and isothermal conditions. A kinetic equation describing statistical regularities of the Markov-type material systems and constrained by the compatibility condition with the first and second laws of thermodynamics and with the relaxation postulate, is proposed. The influence of external parameters on the Gibbs distribution of small material systems is discussed.