Entropy flux and Lagrange multipliers: information theory and thermodynamics

TL;DR

This paper explores the relationship between nonequilibrium Lagrange multipliers in information theory and thermodynamics, highlighting differences and connections between Liu's technique and information theory in the context of entropy and entropy inequalities.

Contribution

It clarifies the distinctions and links between Lagrange multipliers in information theory and thermodynamics, particularly in nonequilibrium conditions, using Liu's technique.

Findings

Liu's technique and information theory are not fully equivalent.

The relation between the two approaches is analyzed in the context of entropy.

Differences in the application of Lagrange multipliers are identified.

Abstract

We analyze the relation between the nonequilibrium Lagrange multipliers used in information theory and those used in Liu's technique to exploit the entropy inequality. We observe that there is not a complete equivalence between Liu's technique and information theory.