Work and heat probability distributions in out-of-equilibrium systems

TL;DR

This paper reviews the equations governing work and heat distributions in out-of-equilibrium systems, analyzing phase transitions and large deviations in specific models to deepen understanding of nonequilibrium thermodynamics.

Contribution

It provides a comprehensive review of the equations for work and heat distributions and applies them to analyze phase transitions and large deviations in specific models.

Findings

Identification of path phase transition in a manipulated mean-field Ising model.

Derivation of large-deviation function for heat flow in asymmetric exclusion process.

Insights into the statistical properties of work and heat in nonequilibrium systems.

Abstract

We review and discuss the equations governing the distribution of work done on a system which is driven out of equilibrium by external manipulation, as well as those governing the entropy flow to a reservoir in a nonequilibrium system. We take advantage of these equations to investigate the path phase transition in a manipulated mean-field Ising model and the large-deviation function for the heat flow in the asymmetric exclusion process with periodically varying transition probabilities.