Large Deviation Theory Approach to Fluctuation Theorems and Landauer's Principle through Heat Redefinition

TL;DR

This paper applies large deviation theory to derive fluctuation theorems for nonequilibrium systems without local detailed balance and redefines heat to evaluate Landauer's principle, offering a broad analytical framework.

Contribution

It introduces a novel application of large deviation theory to derive fluctuation theorems without local detailed balance and redefines heat for analyzing Landauer's principle.

Findings

Fluctuation theorem derived from cumulant generating function symmetry.

Redefinition of heat based on rate function and information theory.

Demonstrates large deviation theory's utility in nonequilibrium analysis.

Abstract

Large deviation theory (LDT) provides a mathematical framework to quantify the probabilities of rare events in stochastic systems. In this study, we applied LDT to model a chemical reaction system and demonstrated that the fluctuation theorem for nonequilibrium reaction systems can be derived from the symmetry of the cumulant generating function defined through the rate function. Notably, this derivation does not depend on the assumption of local detailed balance. Furthermore, we redefined heat using this rate function based on information theory and evaluated Landauer's principle, which addresses the minimum energy cost associated with information erasure. These findings show the utility of LDT as a comprehensive framework for analyzing a wide range of nonequilibrium systems.