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Non-equilibrium stationary fluctuations may exhibit a special symmetry called fluctuation relations (FR). Here, we show that this property is always satisfied by the subtraction of two random and independent variables related by a…

统计力学 · 物理学 2011-12-13 Adrian A. Budini

Macroscopic fluctuations have become an essential tool to understand physics far from equilibrium due to the link between their statistics and nonequilibrium ensembles. The optimal path leading to a fluctuation encodes key information on…

统计力学 · 物理学 2017-03-13 N. Tizón-Escamilla , P. I. Hurtado , P. L. Garrido

We derive the fluctuation theorem for quantum-state statistics that can be obtained when we initially measure the total energy of a quantum system at thermal equilibrium, let the system evolve unitarily, and record the quantum-state data…

统计力学 · 物理学 2018-08-01 Naoto Tsuji , Masahito Ueda

Linear response analysis in the nonequilibrium steady state (Gaussian regime) provides two independent fluctuation-response relations. One, in the form of the symmetric matrix, manifests the departure from the equilibrium formula through…

统计力学 · 物理学 2009-11-13 Takahiro Sakaue , Takao Ohta

We study nonequilibrium fluctuation theorems in the presence of a time-reversal symmetry-breaking field and nonconservative forces, in a stochastic as well as a deterministic set up. We consider a system and a heat bath, called the combined…

统计力学 · 物理学 2010-02-22 Punyabrata Pradhan

Nonequilibrium statistical physics is concerned with a fundamental problem in physics, the phenomenon of irreversibility, which is not rigorously solved yet. Different approaches to the statistical mechanics of nonequilibrium processes are…

统计力学 · 物理学 2019-05-07 G. Röpke

A time-domain formulation of the equilibrium quantum fluctuation-dissipation theorem (FDT) in the whole range of temperatures is presented. In the classical limit, the FDT establishes a proportionality relation between the dissipative part…

统计力学 · 物理学 2009-10-31 Noelle Pottier , Alain Mauger

We establish the fluctuation theorem in the presence of information exchange between a nonequilibrium system and other degrees of freedom such as an observer and a feedback controller, where the amount of information exchange is added to…

统计力学 · 物理学 2015-06-05 Takahiro Sagawa , Masahito Ueda

We study the statistical mechanics of classical and quantum systems in non-equilibrium steady states. Emphasis is placed on systems in strong thermal gradients. Various measures and functional forms of observables are presented. The quantum…

混沌动力学 · 物理学 2007-05-23 Dimitri Kusnezov , Eric Lutz , Kenichiro Aoki

The Fluctuation Relation (FR) is an asymptotic result on the distribution of certain observables averaged over time intervals T as T goes to infinity and it is a generalization of the fluctuation--dissipation theorem to far from equilibrium…

统计力学 · 物理学 2009-11-10 A. Giuliani , F. Zamponi , G. Gallavotti

Real-time perturbation theory is formulated for complex scalar fields away from thermal equilibrium in such a way that dissipative effects arising from the absorptive parts of loop diagrams are approximately resummed into the unperturbed…

高能物理 - 理论 · 物理学 2009-10-30 I. D. Lawrie , D. B. McKernan

Recently Mayer et al. [Phys. Rev. E {\bf 68}, 016116 (2003)] proposed a new way to compute numerically the fluctuation-dissipation ratios in nonequilibrium critical systems. Using well-known facts of nonequilibrium critical dynamics I show…

统计力学 · 物理学 2009-11-10 Michel Pleimling

A two-temperature linear spin model is presented that allows an easily understandable introduction to non-equilibrium statistical physics. The model is one that includes the concepts that are typical of more realistic non-equilibrium models…

统计力学 · 物理学 2009-11-13 I. Mazilu , H. T. Williams

We present a statistical physics framework for description of nonlinear non-equilibrium stochastic processes, modeled via chemical master equation, in the weak-noise limit. Using the Poisson representation approach and applying the…

化学物理 · 物理学 2014-05-15 K. G. Petrosyan , Chin-Kun Hu

We present a new approach to stochastic quantization \`a la Parisi-Wu with a discrete fictitious time. The noise average is modified by weights, which results in the equivalence in the large time limit to the correlation function of the…

高能物理 - 理论 · 物理学 2026-02-25 Daisuke Kadoh , Mitsuhiro Kato , Makoto Sakamoto , Hiroto So

The methods of non-equilibrium quantum field theory are used to investigate the possibility of representing dissipation in the equation of motion for the expectation value of a scalar field by a friction term, such as is commonly included…

高能物理 - 唯象学 · 物理学 2009-11-07 Ian D. Lawrie

An analogy is developed between the breaking of space-inversion symmetry in equilibrium statistical mechanics and the breaking of time-reversal symmetry in nonequilibrium statistical mechanics. In this way, similar relationships…

统计力学 · 物理学 2016-04-12 Pierre Gaspard

We present a general framework for systems which are prepared in a non-stationary non-equilibrium state in the absence of any perturbation, and which are then further driven through the application of a time-dependent perturbation. We…

统计力学 · 物理学 2012-12-06 Gatien Verley , David Lacoste

We derive the fluctuation-dissipation relation and explore its connection with the equipartition theorem and Maxwell-Boltzmann statistics through the use of different stochastic analytical techniques. Our first approach is the theory of…

概率论 · 数学 2021-01-08 Carlos Escudero

This thesis focuses on the applications of mathematical tools and concepts brought from nonequilibrium statistical physics to the modeling of ecological problems. The first part provides a short introduction where the theoretical concepts…

种群与进化 · 定量生物学 2017-01-12 Ricardo Martinez-Garcia