Dissipative timescales from coarse-graining irreversibility

Abstract

We propose and investigate a method for identifying timescales of dissipation in nonequilibrium steady states modeled as discrete-state Markov jump processes. The method is based on how the irreversibility-measured by the statistical breaking of time-reversal symmetry-varies under temporal coarse-graining. We observe a sigmoidal-like shape of the irreversibility as a function of the coarse-graining time whose functional form we derive for systems with a fast driven transition. This theoretical prediction allows us to develop a method for estimating the dissipative time scale from time-series data by fitting estimates of the irreversibility to our predicted functional form. We further analyze the accuracy and statistical fluctuations of this estimate.

15 pages, 4 figures

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• Milestoning estimators of dissipation in systems observed at a coarse resolution: When ignorance is truly bliss
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• Dissipation, quantum coherence, and asymmetry of finite-time cross-correlations
• Perspective: Time irreversibility in systems observed at coarse resolution
• Dissipation at limited resolutions: Power law and detection of hidden dissipative scales
• Quantifying Irreversibility via Bayesian Subjectivity for Classical & Quantum Linear Maps