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Using the stochastic thermodynamics, we determine the entropy production and the dynamic heat capacity of systems subject to a sinusoidally time dependent temperature, in which case the systems are permanently out of thermodynamic…

Statistical Mechanics · Physics 2019-06-26 Carlos E. Fiore , Mário J. de Oliveira

The question of characterization of the degree of non-equilibrium activity in active matter systems is studied in the context of a stochastic microswimmer model driven by a chemical cycle. The resulting dynamical properties and entropy…

Statistical Mechanics · Physics 2024-05-27 Michalis Chatzittofi , Jaime Agudo-Canalejo , Ramin Golestanian

We derive an exact (classical and quantum) expression for the entropy production of a finite system placed in contact with one or several finite reservoirs each of which is initially described by a canonical equilibrium distribution.…

Statistical Mechanics · Physics 2015-05-13 Massimiliano Esposito , Katja Lindenberg , Christian Van den Broeck

The paper describes an approach to measuring convergence of an algorithm to its result in terms of an entropy-like function of partitions of its inputs of a given length. The goal is to look at the algorithmic data processing from the…

Computational Complexity · Computer Science 2016-05-06 Anatol Slissenko

The minimum entropy production principle provides an approximative variational characterization of close-to-equilibrium stationary states, both for macroscopic systems and for stochastic models. Analyzing the fluctuations of the empirical…

Mathematical Physics · Physics 2009-11-05 C. Maes , K. Netocny

Thermodynamic uncertainty relations yield a lower bound on entropy production in terms of the mean and fluctuations of a current. We derive their general form for systems under arbitrary time-dependent driving from arbitrary initial states…

Statistical Mechanics · Physics 2021-01-12 Timur Koyuk , Udo Seifert

We derive a general lower bound on distributions of entropy production in interacting active matter systems. The bound is tight in the limit that interparticle correlations are small and short-ranged, which we explore in four canonical…

Statistical Mechanics · Physics 2021-02-03 Trevor GrandPre , Katherine Klymko , Kranthi K. Mandadapu , David T. Limmer

Thermodynamic irreversibility is well characterized by the entropy production arising from non-equilibrium quantum processes. We show that the entropy production of a quantum system undergoing open-system dynamics can be formally split into…

Quantum Physics · Physics 2019-07-02 Jader P. Santos , Lucas C. Céleri , Gabriel T. Landi , Mauro Paternostro

We study irreversible processes for nonlinear oscillators networks described by complex-valued Langevin equations that account for coupling to different thermo-chemical baths. Dissipation is introduced via non-Hermitian terms in the…

Statistical Mechanics · Physics 2017-08-02 Simone Borlenghi , Stefano Iubini , Stefano Lepri , Jonas Fransson

We discuss the validity of close-to-equilibrium entropy production principles in the context of linear electrical circuits. Both the minimum and the maximum entropy production principle are understood within dynamical fluctuation theory.…

Statistical Mechanics · Physics 2015-05-14 Stijn Bruers , Christian Maes , Karel Netocny

The extension of equilibrium thermodynamics to non-equilibrium systems is based on the assumption of "local equilibrium," followed by the assumption that an entropy-density function may be defined, and that this entropy-density would have…

Chemical Physics · Physics 2018-03-12 Arieh Ben-Naim

In this paper we revisit the concept of mobility entropy. Over time, the structure of spatial interactions among urban centres tends to become more complex and evolves from centralised models to more scattered origin and destination…

Physics and Society · Physics 2021-06-30 Valentina Marin , Carlos Molinero , Elsa Arcaute

The appealing theoretical measure of irreversibility in a stochastic process, as the ratio of the probabilities of a trajectory and its time reversal, cannot be accessed directly in experiment since the probability of a single trajectory is…

Statistical Mechanics · Physics 2022-04-14 Julian Kappler , Ronojoy Adhikari

We address the emergence of entropy production in the non-equilibrium process of an open quantum system from the viewpoint of the environment. By making use of a dilation-based approach akin to Stinespring theorem, we derive an expression…

Entropy is one of the most fundamental quantities in physics. For systems with few degrees of freedom, the value of entropy provides a powerful insight into its microscopic dynamics, such as the number, degeneracy and relative energies of…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Eugenia Pyurbeeva , Jan A. Mol , Pascal Gehring

We study fluctuations of entropy production for a charged Brownian particle confined in a harmonic trap and driven out of equilibrium by crossed electric and magnetic fields. The magnetic field is constant and perpendicular to the plane of…

Statistical Mechanics · Physics 2025-12-19 L. C. González-Morales , I. Pérez Castillo , J. I. Jiménez-Aquino

Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium. Here we review the wide variety of distinct, but interconnected, relations that have been derived…

Statistical Mechanics · Physics 2007-08-02 R. J. Harris , G. M. Schütz

Certain thermal non-equilibrium situations, outside of the astrophysical realm, suggest that entropy production extrema, instead of entropy extrema, are related to stationary states. In an effort to better understand the evolution of…

Astrophysics of Galaxies · Physics 2015-05-27 Eric I. Barnes , Liliya L. R. Williams

Heisenberg's uncertainty principle has recently led to general measurement uncertainty relations for quantum systems: incompatible observables can be measured jointly or in sequence only with some unavoidable approximation, which can be…

Quantum Physics · Physics 2017-06-27 Alberto Barchielli , Matteo Gregoratti , Alessandro Toigo

For fluctuating currents in non-equilibrium steady states, the recently discovered thermodynamic uncertainty relation expresses a fundamental relation between their variance and the overall entropic cost associated with the driving. We show…

Statistical Mechanics · Physics 2017-07-12 Patrick Pietzonka , Felix Ritort , Udo Seifert