Reversibility and Non-reversibility in Stochastic Chemical Kinetics

TL;DR

This paper explores the concepts of reversibility and irreversibility in stochastic chemical kinetics, analyzing their mathematical foundations, implications for Boltzmann equations, fluctuations, and Onsager relations.

Contribution

It provides a detailed examination of different definitions of reversibility and their consequences in stochastic chemical kinetic models, highlighting the emergence of irreversibility.

Findings

Analysis of various reversibility definitions

Connection to Boltzmann type equations and fluctuations

Insights into the emergence of irreversibility

Abstract

Mathematical problems with mean field and local type interaction related to stochastic chemical kinetics,are considered. Our main concern various definitions of reversibility, their corollaries (Boltzmann type equations, fluctuations, Onsager relations, etc.) and emergence of irreversibility.