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Understanding current fluctuations is of fundamental importance and paves the way for the development of practical applications. According to the thermodynamic and kinetic uncertainty relations, the precision of currents can be constrained…

Statistical Mechanics · Physics 2022-10-06 Van Tuan Vo , Tan Van Vu , Yoshihiko Hasegawa

Starting at the mesoscopic level with a general formulation of stochastic thermodynamics in terms of Markov jump processes, we identify the scaling conditions that ensure the emergence of a (typically nonlinear) deterministic dynamics and…

Statistical Mechanics · Physics 2025-05-26 Gianmaria Falasco , Massimiliano Esposito

We study the statistics of infima, stopping times and passage probabilities of entropy production in nonequilibrium steady states, and show that they are universal. We consider two examples of stopping times: first-passage times of entropy…

Statistical Mechanics · Physics 2017-02-28 Izaak Neri , Édgar Roldán , Frank Jülicher

Entropy production and the detailed fluctuation theorem are of fundamental importance for thermodynamic processes. In this paper, we study the multiple entropy production for multitime quantum processes in a unified framework. For closed…

Quantum Physics · Physics 2023-09-27 Zhiqiang Huang

We consider the problem of estimating the mean entropy production rate in a nonequilibrium process from the measurements of first-passage quantities associated with a single current. For first-passage processes with large thresholds, Refs.…

Statistical Mechanics · Physics 2025-06-05 Izaak Neri

Traditional thermodynamic trade-off relations usually apply to quantities that depend linearly on probability distributions. In contrast, many important information-theoretic measures, such as entropies, are nonlinear and therefore…

Statistical Mechanics · Physics 2026-02-17 Yoshihiko Hasegawa

Recent research has considered the stochastic thermodynamics of multiple interacting systems, representing the overall system as a Bayes net. I derive fluctuation theorems governing the entropy production (EP)of arbitrary sets of the…

Statistical Mechanics · Physics 2025-09-01 David H. Wolpert

Work fluctuation and total entropy production play crucial roles in small thermodynamic systems subject to large thermal fluctuations. We investigate a trade-off relation between them in a nonequilibrium situation in which a system starts…

Statistical Mechanics · Physics 2016-12-15 Ken Funo , Tomohiro Shitara , Masahito Ueda

We study the entropy production rate in systems described by linear Langevin equations, containing mixed even and odd variables under time reversal. Exact formulas are derived for several important quantities in terms only of the means and…

Statistical Mechanics · Physics 2015-07-02 Gabriel T. Landi , Tânia Tomé , Mario J. de Oliveira

A major goal of stochastic thermodynamics is to estimate the inevitable dissipation that accompanies particular observable phenomena in an otherwise not fully accessible system. Quantitative results are often formulated as lower bounds on…

Statistical Mechanics · Physics 2025-03-17 Malena T. Bauer , Udo Seifert , Jann van der Meer

Recently, the theoretical framework of stochastic thermodynamics has been revealed to be useful for macroscopic systems. However, despite its conceptual and practical importance, the connection to hydrodynamics has yet to be explored. In…

Statistical Mechanics · Physics 2024-06-21 Kohei Yoshimura , Sosuke Ito

Entropy production (EP) is a key quantity in thermodynamics, and yet measuring EP has remained a challenging task. Here we introduce an EP estimator, called multidimensional entropic bound (MEB), utilizing an ensemble of trajectories…

Statistical Mechanics · Physics 2024-09-06 Sangyun Lee , Dong-Kyum Kim , Jong-Min Park , Won Kyu Kim , Hyunggyu Park , Jae Sung Lee

The thermodynamic uncertainty relation, originally derived for classical Markov-jump processes, provides a trade-off relation between precision and dissipation, deepening our understanding of the performance of quantum thermal machines.…

Statistical Mechanics · Physics 2021-03-31 Junjie Liu , Dvira Segal

Linear, irreversible thermodynamics predicts that the entropy production rate can become negative. We demonstrate this prediction for metals under AC-driving whose conductivity is well-described by the Drude-Sommerfeld model. We then show…

Statistical Mechanics · Physics 2022-01-26 Marcus V. S. Bonança , Sebastian Deffner

Thermodynamics serves as a universal means for studying physical systems from an energy perspective. In recent years, with the establishment of the field of stochastic and quantum thermodynamics, the ideas of thermodynamics have been…

Statistical Mechanics · Physics 2023-02-07 Tan Van Vu , Keiji Saito

Periodic driving is used to operate machines that go from standard macroscopic engines to small non-equilibrium micro-sized systems. Two classes of such systems are small heat engines driven by periodic temperature variations and molecular…

Statistical Mechanics · Physics 2017-11-16 Somrita Ray , Andre C. Barato

In stochastic thermodynamics, the entropy production of a thermodynamic system is defined by the irreversibility measured by the logarithm of the ratio of the path probabilities in the forward and reverse processes. We derive the relation…

Statistical Mechanics · Physics 2018-03-14 Hyun-Myung Chun , Jae Dong Noh

The kinetic uncertainty relation (KUR) is a trade-off relation between the precision of an observable and the mean dynamical activity in a fixed time interval for a time-homogeneous and continuous-time Markov chain. In this letter, we…

Statistical Mechanics · Physics 2021-05-26 Ken Hiura , Shin-ichi Sasa

The total entropy production fluctuations are studied in some exactly solvable models. For these systems, the detailed fluctuation theorem holds even in the transient state, provided initially the system is prepared in thermal equilibrium.…

Statistical Mechanics · Physics 2009-08-08 Arnab Saha , Sourabh Lahiri , A. M. Jayannavar

Small systems in contact with a heat bath evolve by stochastic dynamics. Here we show that, when one such small system is weakly coupled to another one, it is possible to infer the presence of such weak coupling by observing the violation…

Statistical Mechanics · Physics 2016-11-07 Deepak Gupta , Sanjib Sabhapandit
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