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The probability distribution of the total entropy production in the non-equilibrium steady state follows a symmetry relation called the fluctuation theorem. When a certain part of the system is masked or hidden, it is difficult to infer the…

统计力学 · 物理学 2020-04-29 Deepak Gupta , Sanjib Sabhapandit

For discrete-time stochastic processes, there is a close connection between return/waiting times and entropy. Such a connection cannot be straightforwardly extended to the continuous-time setting. Contrarily to the discrete-time case one…

概率论 · 数学 2007-05-23 Jean-Rene Chazottes , Cristian Giardina , Frank Redig

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…

统计力学 · 物理学 2013-05-30 Ian J. Ford , Richard E. Spinney

Stochastic entropy production, which quantifies the difference between the probabilities of trajectories of a stochastic dynamics and its time reversals, has a central role in nonequilibrium thermodynamics. In the theory of probability, the…

统计力学 · 物理学 2020-03-04 Ying-Jen Yang , Hong Qian

Fluctuating entropy production is studied for a set of linearly coupled complex fields. The general result is applied to non-equilibrium fluctuating hydrodynamic equations for coarse-grained fields (density, temperature and velocity), in…

统计力学 · 物理学 2012-07-09 Giacomo Gradenigo , Andrea Puglisi , Alessandro Sarracino

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.…

统计力学 · 物理学 2009-08-08 Arnab Saha , Sourabh Lahiri , A. M. Jayannavar

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…

量子物理 · 物理学 2023-09-27 Zhiqiang Huang

In this article a classification of some proposed macroscopic entropy production (MEP) principles is given. With the help of simple electrical network models, at least six interesting and most used principles are distinguished: the least…

统计力学 · 物理学 2007-05-23 Stijn Bruers

The second law of thermodynamics governs that nonequilibrium systems evolve towards states of higher entropy over time. However, it does not specify the rate of this evolution and the role of fluctuations that impact the system's dynamics.…

Starting from the most general formulation of stochastic thermodynamics---i.e. a thermodynamically consistent nonautonomous stochastic dynamics describing systems in contact with several reservoirs---, we define a procedure to identify the…

统计力学 · 物理学 2018-02-07 Riccardo Rao , Massimiliano Esposito

The theory of entropy production in nonequilibrium, Hamiltonian systems, previously described for steady states using partitions of phase space, is here extended to time dependent systems relaxing to equilibrium. We illustrate the main…

混沌动力学 · 物理学 2009-10-31 T. Gilbert , J. R. Dorfman , P. Gaspard

Non-equilibrium fluctuations of various stochastic variables, such as work and entropy production, have been widely discussed recently in the context of large deviations, cumulants and fluctuation relations. Typically, one looks at the…

统计力学 · 物理学 2016-08-03 Keiji Saito , Abhishek Dhar

The selection of an equilibrium state by maximising the entropy of a system, subject to certain constraints, is often powerfully motivated as an exercise in logical inference, a procedure where conclusions are reached on the basis of…

统计力学 · 物理学 2015-12-03 Ian J. Ford

Stochastic thermodynamics and the associated fluctuation relations provide the means to extend the fundamental laws of thermodynamics to small scales and systems out of equilibrium. The fluctuating thermodynamic variables are usually…

统计力学 · 物理学 2015-05-29 Aki Kutvonen , Tapio Ala-Nissilä , Jukka P. Pekola

Several implications of well-known fluctuation theorems, on the statistical properties of the entropy production, are studied using various approaches. We begin by deriving a tight lower bound on the variance of the entropy production for a…

统计力学 · 物理学 2015-05-20 Neri Merhav , Yariv Kafri

Employing the stochastic wave function method, we study quantum features of stochastic entropy production in nonequilibrium processes of open systems. It is demonstarted that continuous measurements on the environment introduce an…

量子物理 · 物理学 2013-10-16 B. Leggio , A. Napoli , A. Messina , H. -P. Breuer

We generalize to non equilibrium states Onsager's minimum dissipation principle. We also interpret this principle and some previous results in terms of optimal control theory. Entropy production plays the role of the cost necessary to drive…

统计力学 · 物理学 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

Fluctuation theorem is one of the major achievements in the field of nonequilibrium statistical mechanics during the past two decades. Steady-state fluctuation theorem of sample entropy production rate in terms of large deviation principle…

概率论 · 数学 2016-08-24 Yong Chen , Hao Ge , Jie Xiong , Lihu Xu

We study the multiple definitions of the entropy production for discrete-time Markov processes in single systems and composite systems. These definitions have been studied in single systems, but less so in composite systems. With a clear…

统计力学 · 物理学 2025-05-30 Masanao Igarashi

We develop a martingale theory to describe fluctuations of entropy production for open quantum systems in nonequilbrium steady states. Using the formalism of quantum jump trajectories, we identify a decomposition of entropy production into…

量子物理 · 物理学 2019-06-12 Gonzalo Manzano , Rosario Fazio , Édgar Roldán