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In this note we discuss a paradigmatic example of interacting particles subject to non conservative external forces and to the action of thermostats consisting of external (finite) reservoirs of particles. We then consider a model of…

统计力学 · 物理学 2009-11-11 F. Bonetto , G. Gallavotti , A. Giuliani , F. Zamponi

In the present work, we study the entropy productions in a system controlled by double control parameters. By introducing a thermal fluctuation part, we solve the problem that the second law of the thermodynamics seems to be violated by the…

统计力学 · 物理学 2015-08-21 Jang-il Sohn

We discuss an extension of the fluctuation theorem to stochastic models that, in the limit of zero external drive, are not able to equilibrate with their environment, extending results presented by Sellitto (cond-mat/9809186). We show that…

无序系统与神经网络 · 物理学 2009-11-11 F. Zamponi , F. Bonetto , L. F. Cugliandolo , J. Kurchan

Work fluctuation and total entropy production play crucial roles in small thermodynamic systems subject to large thermal fluctuations. We investigate a trade-off relation between them in a nonequilibrium situation in which a system starts…

统计力学 · 物理学 2016-12-15 Ken Funo , Tomohiro Shitara , Masahito Ueda

Observational entropy -- a quantity that unifies Boltzmann's entropy, Gibbs' entropy, von Neumann's macroscopic entropy, and the diagonal entropy -- has recently been argued to play a key role in a modern formulation of statistical…

量子物理 · 物理学 2026-03-24 Teruaki Nagasawa , Kohtaro Kato , Eyuri Wakakuwa , Francesco Buscemi

We study the lower bound of the entropy production in a one-dimensional underdamped Langevin system constrained by a time-dependent parabolic potential. We focus on minimizing the entropy production during transitions from a given initial…

统计力学 · 物理学 2025-10-27 Futa Watabe , Koji Okuda

We consider a purely harmonic chain of oscillators which is perturbed by a stochastic noise. Under this perturbation, the system exhibits two conserved quantities: the volume and the energy. At the level of the hydrodynamic limit, under…

概率论 · 数学 2025-05-16 Patrícia Gonçalves , Kohei Hayashi , João Pedro Mangi

We study by Montecarlo simulation the non-equilibrium stationary behavior of a three-dimensional stochastic lattice gas with reversible kinetic constraints and in diffusive contact with two particle reservoirs at different chemical…

统计力学 · 物理学 2007-05-23 Mauro Sellitto

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

In one dimension very general results from conformal field theory and exact calculations for certain quantum spin systems have established universal scaling properties of the entanglement entropy between two parts of a critical system.…

统计力学 · 物理学 2013-05-29 H. Francis Song , Stephan Rachel , Karyn Le Hur

We show that an appropriately defined fluctuation-dissipation theorem, connecting generalized susceptibilities and time correlation functions, is valid for times shorter than the nucleation time of the metastable state of Markovian systems…

统计力学 · 物理学 2009-11-10 G. Baez , H. Larralde , F. Leyvraz , R. A. Mendez-Sanchez

The second law of thermodynamics is a statement about the statistics of the entropy production, $\langle \Sigma \rangle \geq 0$. For small systems, it is known that the entropy production is a random variable and negative values ($\Sigma <…

统计力学 · 物理学 2022-01-05 Domingos S. P. Salazar

Finite thermostats are studied in the context of nonequilibrium statistical mechanics. Entropy production rate has been identified with the mechanical quantity expressed by the phase space contraction rate and the currents have been linked…

统计力学 · 物理学 2009-06-15 Giovanni Gallavotti

According to the universal entropy bound, the entropy (and hence information capacity) of a complete weakly self-gravitating physical system can be bounded exclusively in terms of its circumscribing radius and total gravitating energy. The…

量子物理 · 物理学 2009-11-10 Jacob D. Bekenstein

Fluctuation relations for the entropy production in non equilibrium stationary states of Ising models are investigated by Monte Carlo simulations. Systems in contact with heat baths at two different temperatures or subject to external…

统计力学 · 物理学 2009-11-13 A. Piscitelli , F. Corberi , G. Gonnella , A. Pelizzola

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

In this letter, we study the limit behavior of the evolution of Tsallis entropy in self-gravitating systems. The study is carried out under two different situations, drawing the same conclusion. No matter in the energy transfer process or…

统计力学 · 物理学 2017-10-11 Yahui Zheng , Jiulin Du , Faku Liang

In an essential and quite general setup, based on networks, we identify Schnakenberg's observables as the constraints that prevent a system from relaxing to equilibrium, showing that, in the linear regime, steady states satisfy a minimum…

统计力学 · 物理学 2015-05-28 Matteo Polettini

We start by reviewing recent probabilistic results on ergodic sums in a large class of (non-uniformly) hyperbolic dynamical systems. Namely, we describe the central limit theorem, the almost-sure convergence to the gaussian and other stable…

动力系统 · 数学 2012-05-09 J. -R. Chazottes

We investigate the link between the irreversibility generated by a stationary dissipative process and the correlations established within a composite quantum system. We provide two equivalent expressions for the entropy generated in the…

量子物理 · 物理学 2016-10-06 Matteo Brunelli , Mauro Paternostro