2000 character limit reached
Inferring entropy production from time-dependent moments
Published 25 Oct 2023 in cond-mat.stat-mech | (2310.16627v3)
Abstract: Measuring entropy production of a system directly from the experimental data is highly desirable since it gives a quantifiable measure of the time-irreversibility for non-equilibrium systems and can be used as a cost function to optimize the performance of the system. Although numerous methods are available to infer the entropy production of stationary systems, there are only a limited number of methods that have been proposed for time-dependent systems and, to the best of our knowledge, none of these methods have been applied to experimental systems. Herein, we develop a general non-invasive methodology to infer a lower bound on the mean total entropy production for arbitrary time-dependent continuous-state Markov systems in terms of the moments of the underlying state variables. The method gives surprisingly accurate estimates for the entropy production, both for theoretical toy models and for experimental bit erasure, even with a very limited amount of experimental data.
- Seifert U 2012 Stochastic thermodynamics, fluctuation theorems and molecular machines Rep. Prog. Phys. 75 126001
- Peliti L and Pigolotti S 2021 Stochastic Thermodynamics: An Introduction (Princeton University Press)
- Sekimoto K 1998 Langevin equation and thermodynamics Prog. Th. Phys. Supp. 130 17–27
- Seifert U 2005 Entropy Production along a Stochastic Trajectory and an Integral Fluctuation Theorem Phys. Rev. Lett. 95 040602
- Barato A C and Seifert U 2015 Thermodynamic uncertainty relation for biomolecular processes Phys. Rev. Lett. 114 158101
- Proesmans K and Van den Broeck C 2017 Discrete-time thermodynamic uncertainty relation Europhys. Lett. 119 20001
- Hasegawa Y and Van Vu T 2019 Fluctuation theorem uncertainty relation Phys. Rev. Lett. 123 110602
- Koyuk T and Seifert U 2019 Operationally accessible bounds on fluctuations and entropy production in periodically driven systems Phys. Rev. Lett. 122 230601
- Proesmans K and Horowitz J M 2019 Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry J. Stat. Mech.: Theory Exp. 054005
- Harunari P E, Fiore C E and Proesmans K 2020 Exact statistics and thermodynamic uncertainty relations for a periodically driven electron pump J. Phys. A: Math. Theor. 53 374001
- Proesmans K, Ehrich J and Bechhoefer J 2020 Finite-Time Landauer Principle Phys. Rev. Lett. 125 100602
- Shiraishi N, Funo K and Saito K 2018 Speed limit for classical stochastic processes Phys. Rev. Lett. 121 070601
- Aurell E, MejÃa-Monasterio C and Muratore-Ginanneschi P 2011 Optimal protocols and optimal transport in stochastic thermodynamics Phys. Rev. Lett. 106 250601
- Sivak D A and Crooks G E 2012 Thermodynamic metrics and optimal paths Phys. Rev. Lett. 108 190602
- Proesmans K, Ehrich J and Bechhoefer J 2020 Optimal finite-time bit erasure under full control Phys. Rev. E 102 032105
- Van Vu T and Saito K 2022 Finite-Time Quantum Landauer Principle and Quantum Coherencee Phys. Rev. Lett. 128 010602
- Dechant A 2022 Minimum entropy production, detailed balance and Wasserstein distance for continuous-time Markov processes J. Phys. A: Math.Theor. 55 094001
- Falasco G and Esposito M 2020 Dissipation-time uncertainty relation Phys. Rev. Lett. 125 120604
- Kuznets-Speck B and Limmer,D T 2021 Dissipation bounds the amplification of transition rates far from equilibrium Proc. Natl. Acad. Sci. 118 e2020863118
- Yan L-L et al 2022 Experimental verification of dissipation-time uncertainty relation Phys. Rev. Lett. 128 050603
- Seifert U 2019 From Stochastic Thermodynamics to Thermodynamic Inference Ann. Rev. Cond. Mat. Phys. 10 171-192
- Manikandan S K, Gupta D and Krishnamurthy S 2020 Inferring Entropy Production from Short Experiments Phys. Rev. Lett. 124 120603
- Skinner D, Dunkel J 2021 Estimating entropy production from waiting time distributions Phys. Rev. Lett. 127 198101
- Van der Meer J, Ertel B and Seifert U 2022 Thermodynamic Inference in Partially Accessible Markov Networks: A Unifying Perspective from Transition-Based Waiting Time Distributions Phys. Rev. X 12 031025
- Pietzonka P, Coghi F 2023 Thermodynamic cost for precision of general counting observables arXiv 2305.15392
- Roldán E and Parrondo J M R 2010 Estimating dissipation from single stationary trajectories Phys. Rev. Lett. 105 150607
- Van Vu T, Tuan Vo V and Hasegawa Y 2020 Entropy production estimation with optimal current Phys. Rev. E. 101 042138
- Chandra F, Buzi G and Doyle J 2011 Glycolytic oscillations and limits on robust efficiency Science 333 187
- Heltberg M, Krishna S and Jensen M 2019 On chaotic dynamics in transcription factors and the associated effects in differential gene regulation Nat. Comm. 10 71
- Jun Y, Gavrilov M and Bechhoefer J 2014 High-Precision Test of Landauer’s Principle in a Feedback Trap Phys. Rev. Lett. 113 190601
- Koyuk T and Seifert U 2020 Thermodynamic uncertainty relation for time-dependent driving Phys. Rev. Lett. 125 260604
- Dechant A and Sakurai Y 2023 Thermodynamic interpretation of Wasserstein distance arXiv:1912.08405
- Garanin D A 1997 Fokker-Planck and Landau-Lifshitz-Bloch equations for classical ferromagnets Phys. Rev. B 55 3050
- Benamou J-D and Brenier Y 2000 A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem Numer. Math. 84 375-393
- Villani C 2003 Topics in Optimal Transportation (American Mathematical Society, Rhode Island)
- Kopp R 1962 Pontryagin maximum principle Mathematics in Science and Engineering 5 255-279
- Batchelor C K and Batchelor G 2000 An introduction to fluid dynamics (Cambridge University Press)
- Proesmans K 2023 Precision-dissipation trade-off for driven stochastic systems Commun. Phys. 6 226
- Landauer R 1961 Irreversibility and heat generation in the computing process IBM J. Res. Develop. 5 183-191
- Martini L et al 2016 Experimental and theoretical analysis of Landauer erasure in nanomagnetic switches of different sizes Nano Energy 19 108-116
- Gavrilov M and Bechhoefer J 2016 Erasure without Work in an Asymmetric Double-Well Potential Phys. Rev. Lett. 117 200601
- Gavrilov M, Chétrite R and Bechhoefer J 2017 Direct measurement of weakly nonequilibrium system entropy is consistent with Gibbs–Shannon form Proc. Natl. Acad. Sci. 114 11097-11102
- Spinney R and Ford I 2012 Entropy production in full phase space for continuous stochastic dynamics Phys. Rev. E 85 051113
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.