Nonequilibrium stochastic processes: Time dependence of entropy flux and entropy production

TL;DR

This paper investigates how entropy flux and production evolve over time in a dissipative system driven by Ornstein-Uhlenbeck noise, revealing extremal behaviors influenced by nonequilibrium constraints, dissipation, and noise.

Contribution

It provides a detailed analysis of the time dependence of entropy flux and production in nonequilibrium stochastic processes using Fokker-Planck equations.

Findings

Entropy flux and production exhibit extremal behavior over time.

Nonequilibrium constraints significantly influence entropy dynamics.

Dissipation and noise interplay affects relaxation processes.

Abstract

Based on the Fokker-Planck and the entropy balance equations we have studied the relaxation of a dissipative dynamical system driven by external Ornstein-Uhlenbeck noise processes in absence and presence of nonequilibrium constraint in terms of the thermodynamically inspired quantities like entropy flux and entropy production. The interplay of nonequilibrium constraint, dissipation and noise reveals some interesting extremal nature in the time dependence of entropy flux and entropy production.