Dynamical Fluctuation-Response Relations
Statistical Mechanics
2026-05-15 v2
Abstract
We derive exact dynamical fluctuation-response relations (FRRs) for time-integrated observables of any nonautonomous Markov jump process. The finite-time covariance splits into an initial variability and an integral of response kernels along the driven dynamics. The identity sharpens the dynamical response thermodynamic and kinetic uncertainty relations and fluctuation-response inequalities (FRIs). It also recovers steady-state FRRs, fluctuation-dissipation theorem and Onsager reciprocity, identifies known autonomous FRIs as the zero-frequency mode.
Cite
@article{arxiv.2604.24626,
title = {Dynamical Fluctuation-Response Relations},
author = {Timur Aslyamov and Massimiliano Esposito},
journal= {arXiv preprint arXiv:2604.24626},
year = {2026}
}
Comments
Added a new Appendix G with frequency-domain fluctuation response relations and responses