Stochastic approach to entropy production in chemical chaos

TL;DR

This paper introduces methods to evaluate entropy production in stochastic chemical systems, demonstrating their consistency with thermodynamics and applying them to chaotic reaction networks.

Contribution

It presents novel methods for calculating entropy production in stochastic reactive systems and links cycle contributions to both stochastic and deterministic models.

Findings

Methods align with nonequilibrium thermodynamics

Cycle decomposition of entropy production is valid in stochastic and deterministic systems

Applied to a chaotic chemical reaction network based on Roessler's principle

Abstract

Methods are presented to evaluate the entropy production rate in stochastic reactive systems. These methods are shown to be consistent with known results from nonequilibrium chemical thermodynamics. Moreover, it is proved that the time average of the entropy production rate can be decomposed into the contributions of the cycles obtained from the stoichiometric matrix in both stochastic processes and deterministic systems. These methods are applied to a complex reaction network constructed on the basis of Roessler's reinjection principle and featuring chemical chaos.