-
Van den Broeck, C. & Esposito, M. Ensemble and trajectory thermodynamics: a brief introduction. Physica A 418, 6–16 (2015).
-
Seifert, U. Stochastic thermodynamics, fuctuation theorems and molecular machines. Rep. Prog. Phys. 75, 126001 (2012).
-
Jarzynski, C. Equalities and inequalities: irreversibility and the second law of thermodynamics at the nanoscale. Ann. Rev. Condens. Matter Phys. 2, 329–351 (2011).
-
Gingrich, T. R., Horowitz, J. M., Perunov, N. & England, J. L. Dissipation bounds all steady-state current fuctuations. Phys. Rev. Lett. 116, 120601 (2016).
-
Pietzonka, P., Barato, A. C. & Seifert, U. Universal bound on the efciency of molecular motors. J. Stat. Mech. Teor. Exp. 2016, 124004 (2016).
-
Seifert, U. Stochastic thermodynamics: from principles to the cost of precision. Physica A 504, 176–191 (2018).
-
Hasegawa, Y. & Van Vu, T. Fluctuation theorem uncertainty relation. Phys. Rev. Lett. 123, 110602 (2019).
-
Timpanaro, A. M., Guarnieri, G., Goold, J. & Landi, G. T. Termodynamic uncertainty relations from exchange fuctuation theorems. Phys. Rev. Lett. 123, 090604 (2019).
-
Barato, A. C. & Seifert, U. Termodynamic uncertainty relation for biomolecular processes. Phys. Rev. Lett. 114, 158101 (2015).
-
Proesmans, K. & Horowitz, J. M. Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry. J. Stat. Mech. Teor. Exp. 2019, 054005 (2019).
-
Potts, P. P. & Samuelsson, P. Termodynamic uncertainty relations including measurement and feedback. Preprint at https://arxiv.org/abs/1904.04913 (2019).
-
Di Terlizzi, I. & Baiesi, M. Kinetic uncertainty relation. J. Phys. A 52, 02LT03 (2018).
-
Garrahan, J. P. Simple bounds on fuctuations and uncertainty relations for frst-passage times of counting observables. Phys. Rev. E 95, 032134 (2017).
-
Gingrich, T. R. & Horowitz, J. M. Fundamental bounds on frst passage time fuctuations for currents. Phys. Rev. Lett. 119, 170601 (2017).
-
Guioth, J. & Lacoste, D. Termodynamic bounds on equilibrium fuctuations of a global or local order parameter. Europhys. Lett. 115, 60007 (2016).
-
Barato, A. C., Chetrite, R., Faggionato, A. & Gabrielli, D. Bounds on current fuctuations in periodically driven systems. New J. Phys. 20, 103023 (2018).
-
Barato, A. C., Chetrite, R., Faggionato, A. & Gabrielli, D. A unifying picture of generalized thermodynamic uncertainty relations. J. Stat. Mech. Teor. Exp. 2019, 084017 (2019).
-
Koyuk, T., Seifert, U. & Pietzonka, P. A generalization of the thermodynamic uncertainty relation to periodically driven systems. J. Phys. A 52, 02LT02 (2018).
-
Macieszczak, K., Brandner, K. & Garrahan, J. P. Unifed thermodynamic uncertainty relations in linear response. Phys. Rev. Lett. 121, 130601 (2018).
-
Pietzonka, P., Barato, A. C. & Seifert, U. Afnity-and topology-dependent bound on current fuctuations. J. Phys. A 49, 34LT01 (2016).
-
Koyuk, T. & Seifert, U. Operationally accessible bounds on fuctuations and entropy production in periodically driven systems. Phys. Rev. Lett. 122, 230601 (2019).
-
Dechant, A. & Sasa, S.-I. Fluctuation-response inequality out of equilibrium. Preprint at https://arxiv.org/abs/1804.08250 (2018).
-
Owen, J. A., Gingrich, T. R. & Horowitz, J. M. Universal thermodynamic bounds on nonequilibrium response with biochemical applications. Preprint at https://arxiv.org/abs/1905.07449 (2019).
-
Falasco, G., Pfaller, R., Bregulla, A. P. & Kroy, K. Exact symmetries in the velocity fluctuations of a hot Brownian swimmer. Phys. Rev. E 94, 030620(R) (2016).
-
Hyeon, C. & Hwang, W. Physical insight into the thermodynamic uncertainty relation using Brownian motion in tilted periodic potentials. Phys. Rev. E 96, 012156 (2017).
-
Barato, A. C. & Seifert, U. Coherence of biochemical oscillations is bounded by driving force and network topology. Phys. Rev. E 95, 062409 (2017). Proesmans, K., Peliti, L. & Lacoste, D. in Chemical Kinetics: Beyond the
-
Textbook (eds Lindenberg, K. et al.) Ch. 17 (World Scientific, 2019).
-
Wierenga, H., ten Wolde, P. R. & Beck, N. B. Quantifying fluctuations in reversible enzymatic cycles and clocks. Phys. Rev. E 97, 042404 (2018).
-
Marsland, R., Cui, W. & Horowitz, J. M. The thermodynamic uncertainty relation in biochemcial oscillations. J. R. Soc. Interface 16, (2019).
-
Brown, A. I. & Sivak, D. A. Pulling cargo increases the precision of molecular motor progress. Europhy. Lett. 126, 40004 (2019).
-
Shankar, S. & Marchetti, M. C. Hidden entropy production and work fluctuations in an ideal active gas. Phys. Rev. E 98, 020604(R) (2018).
-
Lee, S., Hyeon, C. & Jo, J. Thermodynamic uncertainty relation of interacting oscillators in synchrony. Phys. Rev. E 98, 032119 (2018).
-
Li, J., Horowitz, J. M., Gingrich, T. R. & Fakhri, N. Quantifying dissipation using fluctuating currents. Nat. Commun. 10, 1666 (2019).
-
Pietzonka, P., Barato, A. C. & Seifert, U. Universal bound on the efficiency of molecular motors. J. Stat. Mech. Theor. Exp. 2016, 124004 (2016).
-
Seifert, U. Stochastic thermodynamics: from principles to the cost of precision. Physica A 504, 176–191 (2018).
-
Barato, A. C. & Seifert, U. Cost and precision of Brownian clocks. Phys. Rev. X 6, 041053 (2016).
-
Ptaszynński, K. Coherence-enhanced constancy of a quantum thermoelectric generator. Phys. Rev. B 98, 085425 (2018).
-
Agarwalla, B. K. & Segal, D. Assessing the validity of the thermodynamic uncertainty relation in quantum systems. Phys. Rev. B 98, 155438 (2018).
-
Liu, J. & Segal, D. Thermodynamic uncertainty relation in quantum thermoelectric junctions. Phys. Rev. E 99, 062141 (2019).
-
Brandner, K., Hanazato, T. & Saito, K. Thermodynamic bounds on precision in ballistic multiterminal transport. Phys. Rev. Lett. 120, 090601 (2018).
-
Macieszczak, K., Brandner, K. & Garrahan, J. P. Unified thermodynamic uncertainty relations in linear response. Phys. Rev. Lett. 121, 130601 (2018).
-
Fischer, L. P., Pietzonka, P. & Seifert, U. Large deviation function for a driven underdamped particle in a periodic potential. Phys. Rev. E 97, 022143 (2018).
-
Chun, H.-M., Fischer, L. P. & Seifert, U. Effect of a magnetic field on the thermodynamic uncertainty relation. Phys. Rev. E 99, 042128 (2019).
-
Hasegawa, Y. & Van Vu, T. Fluctuation theorem uncertainty relation. Phys. Rev. Lett. 123, 110602 (2019).
-
Timpanaro, A. M., Guarnieri, G., Goold, J. & Landi, G. T. Thermodynamic uncertainty relations from exchange fluctuation theorems. Phys. Rev. Lett. 123, 090604 (2019).
-
Seifert, U. From stochastic thermodynamics to thermodynamic inference. Annu. Rev. Condens. Matter Phys. 10, 171–192 (2019).
-
Proesmans, K. & Horowitz, J. M. Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry. J. Stat. Mech. Theor. Exp. 2019, 054005 (2019).
-
Potts, P. P. & Samuelsson, P. Thermodynamic uncertainty relations including measurement and feedback. Preprint at https://arxiv.org/abs/1904.04913 (2019).
-
Garrahan, J. P. Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables. Phys. Rev. E 95, 032134 (2017).
-
Gingrich, T. R. & Horowitz, J. M. Fundamental bounds on first passage time fluctuations for currents. Phys. Rev. Lett. 119, 170601 (2017).
-
Guioth, J. & Lacoste, D. Thermodynamic bounds on equilibrium fluctuations of a global or local order parameter. Europhys. Lett. 115, 60007 (2016).
-
Barato, A. C., Chetrite, R., Faggionato, A. & Gabrielli, D. Bounds on current fluctuations in periodically driven systems. New J. Phys. 20, 103023 (2018).
-
Barato, A. C., Chetrite, R., Faggionato, A. & Gabrielli, D. A unifying picture of generalized thermodynamic uncertainty relations. J. Stat. Mech. Theor. Exp. 2019, 084017 (2019).
-
Koyuk, T., Seifert, U. & Pietzonka, P. A generalization of the thermodynamic uncertainty relation to periodically driven systems. J. Phys. A 52, 02LT02 (2018).
-
Pietzonka, P., Barato, A. C. & Seifert, U. Affinity-and topology-dependent bound on current fluctuations. J. Phys. A 49, 34LT01 (2016).
-
Koyuk, T. & Seifert, U. Operationally accessible bounds on fluctuations and entropy production in periodically driven systems. Phys. Rev. Lett. 122, 230601 (2019).
-
Owen, J. A., Gingrich, T. R. & Horowitz, J. M. Universal thermodynamic bounds on nonequilibrium response with biochemical applications. Preprint at https://arxiv.org/abs/1905.07449 (2019).