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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…

统计力学 · 物理学 2015-04-21 Léo Granger , Jumna Mehlis , Édgar Roldán , Sergio Ciliberto , Holger Kantz

Continuous feedback control of Langevin processes may be non-Markovian due to a time lag between the measurement and the control action. We show that this requires to modify the basic relation between dissipation and time-reversal and to…

统计力学 · 物理学 2015-06-18 T. Munakata , M. L. Rosinberg

We characterize statistical properties of the flow field in developed turbulence using concepts from stochastic thermodynamics. On the basis of data from a free air-jet experiment, we demonstrate how the dynamic fluctuations induced by…

统计力学 · 物理学 2013-05-23 D. Nickelsen , A. Engel

We define the entropy operator as the negative of the logarithm of the density matrix, give a prescription for extracting its thermodynamically measurable part, and discuss its dynamics. For an isolated system we derive the first, second…

统计力学 · 物理学 2016-07-06 E. Solano-Carrillo , A. J. Millis

A stopping time $T$ is the first time when a trajectory of a stochastic process satisfies a specific criterion. In this paper, we use martingale theory to derive the integral fluctuation relation $\langle e^{-S_{\rm tot}(T)}\rangle=1$ for…

统计力学 · 物理学 2019-10-22 Izaak Neri , Edgar Roldán , Simone Pigolotti , Frank Jülicher

In a glassy system different degrees of freedom have well-separated characteristic times, and are described by different temperatures. The stationary state is essentially non-equilibrium. A generalized statistical thermodynamics is…

无序系统与神经网络 · 物理学 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

A theory to predict the steady state position of a dissipative, flow-controlled system, as defined by a control volume, is developed based on the Maximum Entropy (MaxEnt) principle of Jaynes, involving minimisation of a generalised free…

经典物理 · 物理学 2015-05-13 Robert K. Niven

We consider a wide class of linear stochastic problems driven off the equilibrium by a multiplicative asymmetric force. The force brakes detailed balance, maintained otherwise, thus producing entropy. The large deviation function of the…

混沌动力学 · 物理学 2009-11-11 K. Turitsyn , M. Chertkov , V. Y. Chernyak , A. Puliafito

Exploiting previous results on Markovian dynamics and fluctuation theorems, we study the consequences of memory effects on single realizations of nonequilibrium processes within an open system approach. The entropy production along single…

统计力学 · 物理学 2015-06-12 Bruno Leggio , Anna Napoli , Heinz-Peter Breuer , Antonino Messina

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…

统计力学 · 物理学 2016-01-15 Swarnali Bandopadhyay , Debasish Chaudhuri , A. M. Jayannavar

Active biological systems reside far from equilibrium, dissipating heat even in their steady state, thus requiring an extension of conventional equilibrium thermodynamics and statistical mechanics. In this Letter, we have extended the…

软凝聚态物质 · 物理学 2017-12-22 Dibyendu Mandal , Katherine Klymko , Michael R. DeWeese

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…

星系天体物理 · 物理学 2015-05-27 Eric I. Barnes , Liliya L. R. Williams

Many have speculated whether nonequilibrium systems obey principles of maximum or minimum entropy production. In this work, we use stochastic thermodynamics to derive the condition for the minimum entropy production state (MEPS) for…

统计力学 · 物理学 2025-07-25 Kyle J. Ray , Alexander B. Boyd

For continuous-space diffusion processes, there is a strong connection between conservative forces and entropy production. For a given time evolution of the system's state, the entropy production is minimized when the system is driven by a…

统计力学 · 物理学 2026-05-04 Andreas Dechant , Jann van der Meer

A conditional entropic approach is discussed for nonequilibrium complex systems with a weak correlation between spatiotemporally fluctuating quantities on a large time scale. The weak correlation is found to constitute the fluctuation…

统计力学 · 物理学 2023-04-04 Yuichi Itto

In this paper, we investigate and compare two well-developed definitions of entropy relevant for describing the dynamics of isolated quantum systems: bipartite entanglement entropy and observational entropy. In a model system of interacting…

量子物理 · 物理学 2020-06-01 Dana Faiez , Dominik Šafránek , J. M. Deutsch , Anthony Aguirre

Systems driven away from thermal equilibrium constantly deliver entropy to their environment. Determining this entropy production requires detailed information about the system's internal states and dynamics. However, in most practical…

统计力学 · 物理学 2017-10-03 Gili Bisker , Matteo Polettini , Todd R. Gingrich , Jordan M. Horowitz

The principle of entropy increase is not only the basis of statistical mechanics, but also closely related to the irreversibility of time, the origin of life, chaos and turbulence. In this paper, we first discuss the dynamic system…

统计力学 · 物理学 2022-10-11 Zou Dan Dan

This paper is concerned with a dissipativity theory for dynamical systems governed by linear Ito stochastic differential equations driven by random noise with an uncertain drift. The deviation of the noise from a standard Wiener process in…

最优化与控制 · 数学 2012-08-21 Igor G. Vladimirov , Ian R. Petersen

Fluctuations of observables as functions of time, or "fluctuation patterns", are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium stationary state. Supposing that during a certain, long…

chao-dyn · 物理学 2008-10-08 G. Gallavotti