Discrete-time thermodynamic uncertainty relation

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

[1]  J. P. Garrahan.  Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables. , 2017, Physical review. E.

[2]  J. Parrondo,et al.  The “footprints” of irreversibility , 2008, 0805.4703.

[3]  Todd R. Gingrich,et al.  Fundamental Bounds on First Passage Time Fluctuations for Currents. , 2017, Physical review letters.

[4]  J. Schnakenberg.  Network theory of microscopic and macroscopic behavior of master equation systems , 1976 .

[5]  J. Parrondo,et al.  Dissipation: the phase-space perspective. , 2007, Physical review letters.

[6]  M. Esposito,et al.  Tightening the uncertainty principle for stochastic currents. , 2016, Physical review. E.

[7]  S. Ciliberto,et al.  Experiments in Stochastic Thermodynamics: Short History and Perspectives , 2017 .

[8]  Grant M. Rotskoff.  Mapping current fluctuations of stochastic pumps to nonequilibrium steady states. , 2016, Physical review. E.

[9]  F. Ritort,et al.  Finite-time generalization of the thermodynamic uncertainty relation. , 2017, Physical review. E.

[10]  H. Touchette.  The large deviation approach to statistical mechanics , 2008, 0804.0327.

[11]  D. Petrov,et al.  Brownian Carnot engine , 2014, Nature Physics.

[12]  A. C. Barato,et al.  Coherence of biochemical oscillations is bounded by driving force and network topology. , 2017, Physical review. E.

[13]  C. Broeck,et al.  Stability criteria and fluctuations around nonequilibrium states , 1984 .

[14]  Naoto Shiraishi.  Finite-time thermodynamic uncertainty relation do not hold for discrete-time Markov process , 2017, 1706.00892.

[15]  A. C. Barato,et al.  Universal bound on the efficiency of molecular motors , 2016, 1609.08046.

[16]  Massimiliano Esposito,et al.  Ensemble and trajectory thermodynamics: A brief introduction , 2014, 1403.1777.

[17]  Jordan M. Horowitz,et al.  Inferring dissipation from current fluctuations , 2016 .

[18]  C. Maes.  Frenetic Bounds on the Entropy Production. , 2017, Physical review letters.

[19]  Suriyanarayanan Vaikuntanathan,et al.  Design principles for nonequilibrium self-assembly , 2015, Proceedings of the National Academy of Sciences.

[20]  Viktor Holubec,et al.  Attempt time Monte Carlo: An alternative for simulation of stochastic jump processes with time-dependent transition rates , 2010, 1011.4234.

[21]  Udo Seifert,et al.  Thermodynamic uncertainty relation for biomolecular processes. , 2015, Physical review letters.

[22]  John Bechhoefer,et al.  Brownian duet: A novel tale of thermodynamic efficiency , 2016, 1607.04388.

[23]  A. C. Barato,et al.  Dispersion of the time spent in a state: general expression for unicyclic model and dissipation-less precision , 2017, 1703.04386.

[24]  Changbong Hyeon,et al.  Physical insight into the thermodynamic uncertainty relation using Brownian motion in tilted periodic potentials. , 2017, Physical review. E.

[25]  Todd R. Gingrich,et al.  Dissipation Bounds All Steady-State Current Fluctuations. , 2015, Physical review letters.

[26]  Naoto Shiraishi,et al.  Universal Trade-Off Relation between Power and Efficiency for Heat Engines. , 2016, Physical review letters.

[27]  Jordan M. Horowitz,et al.  Information-Theoretic Bound on the Entropy Production to Maintain a Classical Nonequilibrium Distribution Using Ancillary Control , 2017, Entropy.

[28]  Thermodynamics of a colloidal particle in a time-dependent nonharmonic potential. , 2005, Physical review letters.

[29]  Udo Seifert,et al.  Universal bounds on current fluctuations. , 2015, Physical review. E.

[30]  Udo Seifert,et al.  Universal Trade-Off between Power, Efficiency, and Constancy in Steady-State Heat Engines. , 2017, Physical review letters.

[31]  Udo Seifert,et al.  Cost and Precision of Brownian Clocks , 2016, 1610.07960.

[32]  U. Seifert.  Stochastic thermodynamics, fluctuation theorems and molecular machines , 2012, Reports on progress in physics. Physical Society.

[33]  Todd R. Gingrich,et al.  Proof of the finite-time thermodynamic uncertainty relation for steady-state currents. , 2017, Physical review. E.