Thermodynamic bounds on time-reversal asymmetry

Abstract

Quantifying irreversibility of a system using finite information constitutes a major challenge in stochastic thermodynamics. We introduce an observable that measures the time-reversal asymmetry between two states after a given time lag. Our central result is a bound on the time-reversal asymmetry in terms of the total cycle affinity driving the system out of equilibrium. This result leads to further thermodynamic bounds on the asymmetry of directed fluxes; on the asymmetry of finite-time cross-correlations; and on the cycle affinity of coarse-grained dynamics.

arXiv comment5 pages, 4 figures

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• Thermodynamic Bounds on Symmetry Breaking in Linear and Catalytic Biochemical Systems
• Fluctuating Entropy Production on the Coarse-Grained Level: Inference and Localization of Irreversibility
• Inferring kinetics and entropy production from observable transitions in partially accessible, periodically driven Markov networks
• Entropy production from waiting-time distributions for overdamped Langevin dynamics
• Thermodynamic bounds on the asymmetry of cross-correlations with dynamical activity and entropy production
• Stochastic Thermodynamics of Non-reciprocally Interacting Particles and Fields
• Quasiprobability Thermodynamic Uncertainty Relation