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Entropy serves as a central observable in equilibrium thermodynamics. However, many biological and ecological systems operate far from thermal equilibrium. Here we show that entropy production can characterize the behavior of such…

Statistical Mechanics · Physics 2015-03-17 Benjamin Andrae , Jonas Cremer , Tobias Reichenbach , Erwin Frey

Recently, the fundamental laws of thermodynamics have been reconsidered for small systems. The discovery of the fluctuation relations has spurred theoretical and experimental studies on thermodynamics of systems with few degrees of freedom.…

Statistical Mechanics · Physics 2021-08-10 J. V. Koski , T. Sagawa , O. -P. Saira , Y. Yoon , A. Kutvonen , P. Solinas , M. Möttönen , T. Ala-Nissila , J. P. Pekola

Based on trajectory dependent path probability formalism in state space, we derive generalized entropy production fluctuation relations for a quantum system in the presence of measurement and feedback. We have obtained these results for…

Statistical Mechanics · Physics 2015-06-04 Shubhashis Rana , Sourabh Lahiri , A. M. Jayannavar

Far-from-equilibrium thermodynamics underpins the emergence of life, but how has been a long-outstanding puzzle. Best candidate theories based on the maximum entropy production principle could not be unequivocally proven, in part due to…

Quantitative Methods · Quantitative Biology 2017-10-10 Robert G. Endres

This is a short review of the statistical mechanical definition of entropy production for systems composed of a large number of interacting components. Emphasis is on open systems driven away from equilibrium where the entropy production…

Statistical Mechanics · Physics 2015-06-02 Christian Maes

We discuss entropy production in nonequilibrium steady states by focusing on paths obtained by sampling at regular (small) intervals, instead of sampling on each change of the system's state. This allows us to study directly entropy…

Statistical Mechanics · Physics 2011-09-07 Daniel ben-Avraham , Sven Dorosz , Michel Pleimling

Fluctuation theorems impose constraints on the probability of observing negative entropy production in small systems driven out of equilibrium. The range of validity of fluctuation theorems has been extensively tested for transitions…

Statistical Mechanics · Physics 2015-04-21 Léo Granger , Jumna Mehlis , Édgar Roldán , Sergio Ciliberto , Holger Kantz

We study the entropy production of a system with a finite number of states connected by random transition rates. The stationary entropy production, driven out of equilibrium both by asymmetric transition rates and by an external probability…

Statistical Mechanics · Physics 2017-12-13 Daniel M. Busiello , Jorge Hidalgo , Amos Maritan

A theory for non-equilibrium systems is derived from a maximum entropy approach similar in spirit to the equilibrium theory given by Gibbs. Requiring Hamilton's principle of stationary action to be satisfied on average during a trajectory,…

Statistical Mechanics · Physics 2019-02-04 David M. Rogers , Susan B. Rempe

We present a general framework for deriving entropy production rates (EPRs) in active matter systems driven by non-Gaussian active fluctuations. Employing the probability-flow equivalence technique, we rigorously obtain an entropy…

Statistical Mechanics · Physics 2025-12-12 Yuanfei Huang , Chengyu Liu , Bing Miao , Xiang Zhou

We consider stochastic rotational dynamics of a macrospin at a constant temperature, in presence of an external magnetic field. Starting from the appropriate Langevin equation which contains multiplicative noise, we calculate entropy…

Statistical Mechanics · Physics 2016-01-15 Swarnali Bandopadhyay , Debasish Chaudhuri , A. M. Jayannavar

The validity of the fluctuation theorem for entropy production as deduced from the observation of trajectories implicitly requires that all slow degrees of freedom are accessible. We experimentally investigate the role of hidden slow…

Soft Condensed Matter · Physics 2012-06-11 Jakob Mehl , Boris Lander , Clemens Bechinger , Valentin Blickle , Udo Seifert

We report on a numerical experiment performed to analyze fluctuations of the entropy production in turbulent thermal convection, a physical configuration that represents here a prototypical case of an out-of-equilibrium dissipative system.…

Statistical Mechanics · Physics 2016-07-12 Francesco Zonta , Sergio Chibbaro

We consider open quantum systems weakly coupled to a heat reservoir and driven by arbitrary time-dependent parameters. We derive exact microscopic expressions for the nonequilibrium entropy production and entropy production rate, valid…

Statistical Mechanics · Physics 2012-10-24 Sebastian Deffner , Eric Lutz

Fluctuations of the excess heat in an out of equilibrium steady state are experimentally investigated in two stochastic systems : an electric circuit with an imposed mean current and a harmonic oscillator driven out of equilibrium by a…

Statistical Mechanics · Physics 2009-11-13 Sylvain Joubaud , Nicolas Garnier , Sergio Ciliberto

The problem of estimating entropy production from incomplete information in stochastic thermodynamics is essential for theory and experiments. Whereas a considerable amount of work has been done on this topic, arguably, most of it is…

Statistical Mechanics · Physics 2024-12-17 Pedro E. Harunari , Carlos E. Fiore , Andre C. Barato

Fluctuations in parameters that are typically treated as fixed play a crucial role in the behavior of complex systems. However, to date, we lack a general non-equilibrium thermodynamic treatment of such a complex system. In this Letter, to…

Statistical Mechanics · Physics 2026-03-31 Tuan Pham , Deepak Gupta

We show that the total entropy production in stochastic processes with odd-parity variables (under time reversal) is separated into three parts, only two of which satisfy the integral fluctuation theorems in general. One is the usual excess…

Statistical Mechanics · Physics 2015-06-11 Hyun Keun Lee , Chulan Kwon , Hyunggyu Park

We demonstrate that the Gibbs-Shannon entropy is applicable to non-equilibrium systems of any size and boundary conditions. The change in microscopic entropy can be attributed to the stochastic nature of dynamic processes and to the…

Statistical Mechanics · Physics 2020-10-13 Jianzhong Wu

Non-reciprocal interactions are present in many systems out of equilibrium. The rate of entropy production is a measure that quantifies the time irreversibility of a system, and thus how far it is from equilibrium. In this work, we…

Statistical Mechanics · Physics 2022-11-28 Ziluo Zhang , Rosalba Garcia-Millan