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The irreversible currents and entropy production rate of a dilute colloidal suspension are calculated using the linear irreversible thermodynamics and the linear response theory. The \anomalous" or \hidden" entropy recently discussed in the…

Statistical Mechanics · Physics 2018-08-24 Kunimasa Miyazaki , Yohei Nakayama , Hiromichi Matsuyama

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…

Statistical Mechanics · Physics 2024-07-16 Prashant Singh , Karel Proesmans

Irreversibility is commonly quantified by entropy production. An external observer can estimate it through measuring an observable that is antisymmetric under time-reversal like a current. We introduce a general framework that, inter alia,…

Statistical Mechanics · Physics 2023-07-05 Jann van der Meer , Julius Degünther , Udo Seifert

For continuous-time Markov jump processes on irreducible networks with time-independent rate constants, we employ a transition-based formalism to express the long-time precision of a single integrated current over an observable channel in…

Statistical Mechanics · Physics 2026-05-25 Alberto Garilli , Diego Frezzato

We study the entropy production in non-equilibrium quantum systems without dissipation, which is generated exclusively by the spontaneous breaking of time-reversal invariance. Systems which preserve the total energy and particle number and…

Statistical Mechanics · Physics 2020-03-26 Mihail Mintchev , Paul Sorba

We study a spatial diffusion process generated by velocity fluctuations of intermittent nature. We note that intermittence reduces the entropy production rate while enhancing the diffusion strength. We study a case of space-dependent…

Statistical Mechanics · Physics 2007-05-23 Paolo Grigolini , Riccardo Mannella , Luigi Palatella

We show for a large class of interacting particle systems that whenever the stationary measure is not reversible for the dynamics, then the mean entropy production in the steady state is strictly positive. This extends to the thermodynamic…

Statistical Mechanics · Physics 2015-05-26 C. Maes , F. Redig , M. Verschuere

Convergence rate to the stationary distribution for continuous-time Markov processes can be studied using Lyapunov functions. Recent work by the author provided explicit rates of convergence in special case of a reflected jump-diffusion on…

Probability · Mathematics 2020-03-25 Andrey Sarantsev

The characterization of irreversibility in general quantum processes is an open problem of increasing techno- logical relevance. Yet, the tools currently available to this aim are mostly limited to the assessment of dynamics induced by…

Quantum Physics · Physics 2017-06-06 Jader P. Santos , Gabriel T. Landi , Mauro Paternostro

The stochastic entropy generated during the evolution of a system interacting with an environment may be separated into three components, but only two of these have a non-negative mean. The third component of entropy production is…

Statistical Mechanics · Physics 2013-05-30 Ian J. Ford , Richard E. Spinney

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

For classical nonequilibrium systems, the separation of the total entropy production into the adiabatic and nonadiabatic contributions is useful for understanding irreversibility in nonequilibrium thermodynamics. In this article, we…

Statistical Mechanics · Physics 2015-06-16 Jordan M. Horowitz , Juan M. R. Parrondo

This paper shows an estimation of a lower bound on the total entropy production rate(EPR) for a system following Langevin dynamics with a single observed variable coarse-grained into a few discrete states, by invoking the underlying broken…

Statistical Mechanics · Physics 2022-09-07 Aishani Ghosal , Gili Bisker

We show that under local detailed balance the expected entropy production rate is always bounded in terms of the dynamical activity. The activity refers to the time-symmetric contribution in the action functional for path-space…

Statistical Mechanics · Physics 2017-10-25 Christian Maes

The time variation of entropy, as an alternative to the variance, is proposed as a measure of the diffusion rate. It is shown that for linear and time-translationally invariant systems having a large-time limit for the density, at large…

Statistical Mechanics · Physics 2013-05-24 Amir Aghamohammadi , Amir H. Fatollahi , Mohammad Khorrami , Ahmad Shariati

We present a method of estimating the rate of entropy production in underdamped dynamics by decomposing it into contributions originating in different non-equilibrium effects. Specifically, a non-zero average velocity, a non-thermal width…

Statistical Mechanics · Physics 2025-12-01 Mario A. Ciampini , Jakob Rieser , Nikolai Kiesel , Andreas Dechant

We describe the processes obtained by time reversal of a class of stationary jump-diffusion processes that model the dynamics of genetic variation in populations subject to repeated bottlenecks. Assuming that only one lineage survives each…

Probability · Mathematics 2020-11-25 Martin Hutzenthaler , Jesse E. Taylor

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

We introduce estimators for the entropy production of a Gibbsian process based on the observation of a single or two typical trajectories. These estimators are built with adequate hitting and return times. We then study their convergence…

Mathematical Physics · Physics 2009-11-11 J. -R. Chazottes , F. Redig

In the framework of irreversible thermodynamics, we study autonomous systems of reaction-diffusion equations to show how the entropy and free energy of an open and irreversible reactor depend on concentrations. To do this, we find a…

Statistical Mechanics · Physics 2022-07-13 Aldo Ledesma-Durán , Iván Santamaría-Holek