Irreversibility in linear systems with colored noise

Grzegorz Gradziuk, Gabriel Torregrosa, Chase P. Broedersz*

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review

25 Downloads (Pure)

Abstract

Time irreversibility is a distinctive feature of nonequilibrium dynamics and several measures of irreversibility have been introduced to assess the distance from thermal equilibrium of a stochastically driven system. While the dynamical noise is often approximated as white, in many real applications the time correlations of the random forces can actually be significantly long-lived compared to the relaxation times of the driven system. We analyze the effects of temporal correlations in the noise on commonly used measures of irreversibility and demonstrate how the theoretical framework for white-noise-driven systems naturally generalizes to the case of colored noise. Specifically, we express the autocorrelation function, the area enclosing rates, and mean phase space velocity in terms of solutions of a Lyapunov equation and in terms of their white-noise limit values.

Original languageEnglish
Article number024118
Pages (from-to)1-10
Number of pages10
JournalPhysical review E
Volume105
Issue number2
Early online date11 Feb 2022
DOIs
Publication statusPublished - Feb 2022

Bibliographical note

Funding Information:
We thank D. Brückner, F. Gnesotto, F. Mura, and P. Ronceray for many stimulating discussions. This work was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy–EXC-2094 - 390783311, by the DFG Grant No. 418389167 and by the DFG Excellence cluster ORIGINS.

Publisher Copyright:
© 2022 American Physical Society.

Fingerprint

Dive into the research topics of 'Irreversibility in linear systems with colored noise'. Together they form a unique fingerprint.

Cite this