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

2024/10/21 by Tatsuaki Tsuruyama, Tsuruyama, Tatsuaki · 2 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Opinion Dynamics and Social Influence

paper · pdf · doi:10.48550/arxiv.2410.15725

openalex publication_date 2024/10/21 · openalex created_date 2024/11/06 · openalex updated_date 2026/07/28

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.

Cited by

• Kullback-Leibler Potential for Non-Ergodic Replication Dynamics:An Information-Theoretic Second Law
• Relativistic Limits of Decoding: Critical Divergence of Kullback-Leibler Information and Free Energy

Related

• A basic introduction to large deviations: Theory, applications, simulations
• The large deviation approach to statistical mechanics
• Macroscopic Stochastic Thermodynamics
• Large deviations and the Boltzmann entropy formula
• Coarse-graining via the fluctuation-dissipation theorem and large-deviation theory