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In the context of Markov evolution, we present two original approaches to obtain Generalized Fluctuation-Dissipation Theorems (GFDT), by using the language of stochastic derivatives and by using a family of exponential martingales…

统计力学 · 物理学 2013-12-04 Raphael Chetrite , Shamik Gupta

The irreversibility of trajectories in stochastic dynamical systems is linked to the structure of their causal representation in terms of Bayesian networks. We consider stochastic maps resulting from a time discretization with interval \tau…

数据分析、统计与概率 · 物理学 2018-03-15 Andrea Auconi , Andrea Giansanti , Edda Klipp

Nonequilibrium systems exchange the energy with an environment in the form of work and heat. The work done on a system obeys the fluctuation theorem, while the dissipated heat which differs from the work by the internal energy change does…

统计力学 · 物理学 2014-02-04 Jae Dong Noh

Fluctuation relations are derived in systems where the spin degree of freedom and magnetic interactions play a crucial role. The form of the non-equilibrium fluctuation theorems relies in the assumption of a local balance condition. We…

介观与纳米尺度物理 · 物理学 2012-06-21 Rosa Lopez , Jong Soo Lim , David Sanchez

The fluctuation relations have received considerable attention since their emergence and development in the 1990s. We present a summary of the main results and suggest ways to interpret this material. Starting with a consideration of the…

统计力学 · 物理学 2012-02-01 Richard E. Spinney , Ian J. Ford

We build on a previous statistical model for distributed systems and formulate it in a way that the deterministic and stochastic processes within the system are clearly separable. We show how internal fluctuations can be analysed in a…

adap-org · 物理学 2009-10-22 Iqbal Adjali , José-Luis Fernández-Villacañas , Michael Gell

Nonintegrable systems thermalize, leading to the emergence of fluctuating hydrodynamics. Typically, this hydrodynamics is diffusive. We use the effective field theory (EFT) of diffusion to compute higher-point functions of conserved…

强关联电子 · 物理学 2024-02-14 Luca V. Delacretaz , Ruchira Mishra

Fluctuation Theorems are statements about the entropy of systems far from thermal equilibrium. In this Letter relativistic Fluctuation Theorems for Brownian motion are presented and proven. Though there is a known discretization dilemma…

统计力学 · 物理学 2007-05-23 Axel Fingerle

Open systems may be perturbed out of equilibrium states either by subjecting them to nonconservative forces or by injecting external currents. For small perturbations, the linear response is quantified by two different matrices. In the…

统计力学 · 物理学 2020-02-21 Matteo Polettini

Irreversibility is usually captured by a comparison between the process that happens and a corresponding "reverse process". In the last decades, this comparison has been extensively studied through fluctuation relations. Here we revisit…

统计力学 · 物理学 2021-10-11 Clive Cenxin Aw , Francesco Buscemi , Valerio Scarani

Dispersion forces between neutral material bodies are due to fluctuations of the polarization of the bodies. For bodies in equilibrium these forces are often referred to as Casimir-Lifshitz forces. For bodies in relative motion, in addition…

量子物理 · 物理学 2022-09-12 Iver Brevik , Boris Shapiro , Mário Silveirinha

The role of fluctuation-dissipation relations (theorems) for the magnetization dynamics with Landau-Lifshitz-Gilbert and Bloch-Bloembergen damping terms are discussed. We demonstrate that the use of the Callen-Welton fluctuation-dissipation…

统计力学 · 物理学 2009-11-11 Vladimir L. Safonov , H. Neal Bertram

Starting from the pioneering work of G. S. Agarwal [Zeitschrift f\"ur Physik 252, 25 (1972)], we present a unified derivation of a number of modified fluctuation-dissipation relations (MFDR) that relate response to small perturbations…

统计力学 · 物理学 2012-02-28 Debasish Chaudhuri , Abhishek Chaudhuri

The fluctuation-response relation is a fundamental relation that is applicable to systems near equilibrium. On the other hand, when a system is driven far from equilibrium, this relation is violated in general because the detailed-balance…

统计力学 · 物理学 2009-11-11 Takahiro Harada , Shin-ichi Sasa

The statistical mechanical basis of the fluctuation theory of mixtures is reviewed. An overview of the statistical mechanical relations between the microscopic properties of a system and its macroscopic properties is presented. The…

统计力学 · 物理学 2018-11-20 G. Ali Mansoori , Enrico Matteoli

We develop fluctuational electrodynamics for media with nonlinear optical response. In a perturbative manner, we amend the stochastic Helmholtz equation to describe fluctuations in a nonlinear setting, in agreement with the fluctuation…

量子物理 · 物理学 2016-10-31 Heino Soo , Matthias Krüger

We study the fluctuations of a stochastic Maxwell-Lorentz particle model driven by an external field to determine the extent to which fluctuation relations are related to large deviations. Focusing on the total entropy production of this…

统计力学 · 物理学 2013-08-02 Giacomo Gradenigo , Alessandro Sarracino , Andrea Puglisi , Hugo Touchette

Isometric fluctuation relations are deduced for the fluctuations of the order parameter in equilibrium systems of condensed-matter physics with broken discrete or continuous symmetries. These relations are similar to their analogues…

统计力学 · 物理学 2016-12-14 David Lacoste , Pierre Gaspard

This book provides a modern review of Fluctuation Relations and Fluctuation Theorems in nonequilibrium statistical mechanics. It focuses on the pioneering perspectives of Gallavotti and Cohen, according to which a fluctuation theorem…

数学物理 · 物理学 2026-02-13 Noé Cuneo , Vojkan Jakšić , Claude-Alain Pillet , Armen Shirikyan

Flocking systems are known to be strongly out of equilibrium. Energy input occurs at the individual level to ensure self-propulsion, and the individual motility in turn contributes to ordering, enhancing information propagation and…

统计力学 · 物理学 2024-05-22 Federica Ferretti , Irene Giardina , Tomas Grigera , Giulia Pisegna , Mario Veca
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