Discrete-time thermodynamic uncertainty relation

Abstract

We generalize the thermodynamic uncertainty relation, providing an entropic upper bound for average fluxes in time-continuous steady-state systems (Gingrich et al., Phys. Rev. Lett. 116, 120601 (2016)), to time-discrete Markov chains and to systems under time-symmetric, periodic driving.

References in corpus (9)

• The large deviation approach to statistical mechanics
• Thermodynamic uncertainty relation for biomolecular processes
• Dissipation: The phase-space perspective
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
• Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
• Universal bound on the efficiency of molecular motors
• The "footprints'' of irreversibility
• Mapping current fluctuations of stochastic pumps to nonequilibrium steady states

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