Calculation of Correlation Functions in Terms of Fluctuation Relation

TL;DR

This paper derives a fluctuation relation for Langevin systems with colored noise and proposes a method to compute correlation functions of the noise using this relation.

Contribution

It introduces a novel fluctuation relation applicable to systems with colored noise and provides a new approach for calculating noise correlation functions.

Findings

Derived a fluctuation relation for Langevin systems with colored noise.

Proposed a method to calculate colored noise correlation functions using the fluctuation relation.

Validated the method through theoretical analysis.

Abstract

We derive a relation similar to the fluctuation theorem for work done on a system obeying Langevin dynamics with thermal and colored noises. Then, we propose a method of calculating the correlation function of the colored noise by using this fluctuation relation.