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Stochastic thermodynamics is an important development in the direction of finding general thermodynamic principles for non-equilibrium systems. We believe stochastic thermodynamics has the potential to benefit from the measure-theoretic…

统计力学 · 物理学 2023-07-06 Annwesha Dutta , Saikat Sarkar

Gallavotti proposed an equivalence principle in hydrodynamics, which states that forced-damped fluids can be equally well represented by means of the Navier-Stokes equations and by means of time reversible dynamical systems called GNS. In…

chao-dyn · 物理学 2009-10-31 Lamberto Rondoni , Enrico Segre

The present study is based on a recent success of the second-order stochastic fluctuation theory in describing time autocorrelations of equilibrium and nonequilibrium physical systems. In particular, it was shown to yield values of the…

统计力学 · 物理学 2017-08-23 Roman Belousov , E. G. D. Cohen , Lamberto Rondoni

An overview is given of recent advances in the nonequilibrium statistical mechanics of quantum systems and, especially, of time-reversal symmetry relations that have been discovered in this context. The systems considered are driven out of…

介观与纳米尺度物理 · 物理学 2015-06-04 Pierre Gaspard

An overview is given of recent advances in nonequilibrium statistical mechanics on the basis of the theory of Hamiltonian dynamical systems and in the perspective provided by the nanosciences. It is shown how the properties of relaxation…

统计力学 · 物理学 2013-07-15 Pierre Gaspard

A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A symmetry relation is obtained which is the consequence of…

统计力学 · 物理学 2013-07-15 David Andrieux , Pierre Gaspard , Takaaki Monnai , Shuichi Tasaki

Most systems, when pushed out of equilibrium, respond by building up currents of locally-conserved observables. Understanding how microscopic dynamics determines the averages and fluctuations of these currents is one of the main open…

统计力学 · 物理学 2010-09-08 Pablo I. Hurtado , Pedro L. Garrido

Fluctuation theorems establish deep relations between observables away from thermal equilibrium. Until recently, the research on fluctuation theorems was focused on time-reversal-invariant systems. In this review we address some newly…

统计力学 · 物理学 2015-06-18 Chenjie Wang , D. E. Feldman

In this work a generalization of Onsager-Machlup's theory of time-dependent thermal fluctuations of equilibrium systems is proposed, to the case in which the system relaxes irreversibly along a non-equilibrium trajectory that can be…

统计力学 · 物理学 2009-08-05 M. Medina-Noyola

Quantitative studies of irreversibility in statistical mechanics often involve the consideration of a reverse process, whose definition has been the object of many discussions, in particular for quantum mechanical systems. Here we show that…

量子物理 · 物理学 2021-05-12 Francesco Buscemi , Valerio Scarani

It has recently been pointed out that Hamiltonian particle systems in constant magnetic fields satisfy generalized time-reversal symmetries that enable to prove useful statistical relationships based on equilibrium phase-space probability…

统计力学 · 物理学 2021-02-24 Alessandro Coretti , Lamberto Rondoni , Sara Bonella

The fluctuations in nonequilibrium systems are under intense theoretical and experimental investigation. Topical ``fluctuation relations'' describe symmetries of the statistical properties of certain observables, in a variety of models and…

统计力学 · 物理学 2011-09-08 Lamberto Rondoni , Carlos Mejia-Monasterio

The influence of dissipation on the fluctuation statistics of the total energy is investigated through both a phenomenological and a stochastic model for dissipative energy-transfer through a cascade of states. In equilibrium the states…

统计力学 · 物理学 2013-06-27 Eric Bertin , Peter C. W. Holdsworth

We investigate a new symmetry of the large deviation function of certain time-integrated currents in non-equilibrium systems. The symmetry is similar to the well-known Gallavotti-Cohen-Evans-Morriss-symmetry for the entropy production, but…

统计力学 · 物理学 2012-01-10 Andre Cardoso Barato , Raphael Chetrite , Haye Hinrichsen , David Mukamel

Causality is an important assumption underlying nonequilibrium generalizations of the second law of thermodynamics known as fluctuation relations. We here experimentally study the nonequilibrium statistical properties of the work and of the…

统计力学 · 物理学 2022-06-01 Maxime Debiossac , Martin Luc Rosinberg , Eric Lutz , Nikolai Kiesel

We examine the question of whether the formal expressions of equilibrium statistical mechanics can be applied to time independent non-dissipative systems that are not in true thermodynamic equilibrium and are nonergodic. By assuming the…

统计力学 · 物理学 2007-11-09 Stephen R. Williams , Denis J. Evans

In this paper we study the physical and statistical properties of the periodic Lorentz gas with finite horizon driven to a non-equilibrium steady state by the combination of non-conservative external forces and deterministic thermostats. A…

动力系统 · 数学 2018-09-26 Mark Demers , Luc Rey-Bellet , Hong-Kun Zhang

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

We describe space--time fluctuations by means of small fluctuations of the metric on a given background metric. From a minimally coupled Klein--Gordon equation we obtain within a weak-field approximation up to second order and an averaging…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Ertan Göklü , Claus Lämmerzahl

Large entropy fluctuations in a nonequilibrium steady state of classical mechanics were studied in extensive numerical experiments on a simple 2-freedom model with the so-called Gauss time-reversible thermostat. The local fluctuations (on a…

混沌动力学 · 物理学 2009-10-31 Boris Chirikov