A discussion on maximum entropy production and information theory

TL;DR

This paper explores the maximum entropy production principle through information theory, using a simple model to derive and clarify entropy production concepts and differences in existing studies.

Contribution

It provides a derivation of minimum and maximum entropy production using Jaynes' information theory and clarifies misconceptions in the literature.

Findings

Derived conditions for minimum and maximum entropy production.

Clarified differences between various MaxEP studies.

Provided insights into non-equilibrium system behavior.

Abstract

We will discuss the maximum entropy production (MaxEP) principle based on Jaynes' information theoretical arguments, as was done by Dewar (2003, 2005). With the help of a simple mathematical model of a non-equilibrium system, we will show how to derive minimum and maximum entropy production. Furthermore, the model will help us to clarify some confusing points and to see differences between some MaxEP studies in the literature.