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.

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• Uncertainty relations for time-delayed Langevin systems
• Stochastic thermodynamics for a periodically driven single-particle pump
• Thermodynamic uncertainty for run-and-tumble type processes