Regensburg 2025 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 9: Statistical Physics far from Thermal Equilibrium
DY 9.7: Talk
Monday, March 17, 2025, 17:00–17:15, H47
Theory of Nonequilibrium Responses for Markov Jump Processes — •Timur Aslyamov1 and Massimiliano Esposito2 — 1University of Luxembourg, Luxembourg — 2University of Luxembourg, Luxembourg
The theory of nonequilibrium responses in complex systems to parameter perturbations is fundamental, spanning disciplines from ecology to metabolic control and the design of low-noise devices. The framework of Markov jump processes is one of the most popular approaches for studying a broad range of nonequilibrium phenomena across various fields.
In recent papers [1, 2], we formulated a theory of static response for Markov jump processes under arbitrary parameterizations. Leveraging stochastic thermodynamics, we developed a novel approach based on simple linear algebra, enabling us to extend beyond previously known results. Through our analysis, we uncovered a novel fundamental property of Markov processes: the responses are constrained by specific linear combinations, which we term the Summation and Cycles Response Relations.
[1] Aslyamov, T., and Esposito, M. (2024). Nonequilibrium Response for Markov Jump Processes: Exact Results and Tight Bounds. Physical Review Letters, 132(3), 037101.
[2] Aslyamov, T., and Esposito, M. (2024). General Theory of Static Response for Markov Jump Processes. Physical Review Letters, 133(10), 107103.
Keywords: Response Theory; Markov jump processes; Stochastic Thermodynamics