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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

A direct connection between the magnitude of the violation of the fluctuation-response relation (FRR) and the rate of energy dissipation is presented in terms of field variables of nonequilibrium systems. Here, we consider the density field…

统计力学 · 物理学 2009-11-13 Takahiro Harada

In systems far from equilibrium, the fluctuation-dissipation relation is violated due to the lack of detailed balance. Recently, for a class of Langevin equations, it has been proved that this violation is related to energy dissipation as…

统计力学 · 物理学 2009-11-11 Hiroshi Teramoto , Shin-ichi Sasa

A novel equality relating the rate of energy dissipation to a degree of violation of the fluctuation-response relation (FRR) in nonequilibrium Langevin systems is described. The FRR is a relation between the correlation function of the…

统计力学 · 物理学 2007-05-23 Takahiro Harada , Shin-ichi Sasa

Energy dissipation in a nonequilibrium steady state is studied in driven quantum Langevin systems. We study energy dissipation flow to thermal environment, and obtain a general formula for the average rate of energy dissipation using an…

统计力学 · 物理学 2009-11-13 Keiji Saito

We present a fluctuation relation for heat dissipation in a nonequilibrium system. A nonequilibrium work is known to obey the fluctuation theorem in any time interval $t$. A heat, which differs from a work by an energy change, is shown to…

统计力学 · 物理学 2012-06-19 Jae Dong Noh , Jong-Min Park

We present a theoretical framework to analyze the violation of fluctuation-response relation (FRR) for any observable from a finite Markov system with two well-separated time scales. We find that, generally for both slow and fast…

统计力学 · 物理学 2016-10-04 Shou-Wen Wang , Kyogo Kawaguchi , Shin-ichi Sasa , Lei-Han Tang

The Harada-Sasa equality elegantly connects the energy dissipation rate of a moving object with its measurable violation of the Fluctuation-Dissipation Theorem (FDT). Although proven for Langevin processes, its validity remains unclear for…

统计力学 · 物理学 2018-05-30 Shou-Wen Wang

Time-delayed effects are widely present in nature, often accompanied by distinctive nonequilibrium features, such as negative apparent heat dissipation. To elucidate detailed structures of the dissipation, we study the frequency…

统计力学 · 物理学 2026-02-06 Xin Wang , Ruicheng Bao , Naruo Ohga

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

Near equilibrium, where all currents of a system vanish on average, the fluctuation-dissipation relation (FDR) connects a current's spontaneous fluctuations with its response to perturbations of the conjugate thermodynamic force. Out of…

统计力学 · 物理学 2016-11-02 Bernhard Altaner , Matteo Polettini , Massimiliano Esposito

In a fluid out of equilibrium, the fluctuation dissipation theorem (FDT) is usually violated. Using molecular dynamics simulations, we study in detail the relationship between correlation and response functions in a fluid driven into a…

无序系统与神经网络 · 物理学 2009-10-31 Jean-Louis Barrat , Ludovic Berthier

The linear response of non-equilibrium systems with Markovian dynamics satisfies a generalized fluctuation-dissipation relation derived from time symmetry and antisymmetry properties of the fluctuations. The relation involves the sum of two…

统计力学 · 物理学 2011-01-07 Juan Ruben Gomez-Solano , Artyom Petrosyan , Sergio Ciliberto , Christian Maes

We discuss the well known Einstein and the Kubo Fluctuation Dissipation Relations (FDRs) in the wider framework of a generalized FDR for systems with a stationary probability distribution. A multi-variate linear Langevin model, which…

统计力学 · 物理学 2009-07-17 D. Villamaina , A. Baldassarri , A. Puglisi , A. Vulpiani

In nonequilibrium steady states of Markov jump processes, we derive exact Fluctuation-Response Relations (FRRs) that express the covariance between any pair of currents in terms of static responses in a notably simple form, thus…

统计力学 · 物理学 2025-04-17 Timur Aslyamov , Krzysztof Ptaszyński , Massimiliano Esposito

In this Article we review some recent progresses in the field of non-equilibrium linear response theory. We show how a generalization of the fluctuation-dissipation theorem can be derived for Markov processes, and discuss the…

统计力学 · 物理学 2007-07-06 Federico Corberi , Eugenio Lippiello , Marco Zannetti

A generalized fluctuation-response relation is found for thermal systems driven out of equilibrium. Its derivation is independent of many details of the dynamics, which is only required to be first-order. The result gives a correction to…

统计力学 · 物理学 2009-07-12 Marco Baiesi , Christian Maes , Bram Wynants

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

In the Langevin formalism, the delicate balance maintained between the fluctuations in the system and their corresponding dissipation may be upset by the presence of a secondary, space-dependent stochastic force, particularly in the low…

统计力学 · 物理学 2007-05-23 Jeremy M. Moix , Rigoberto Hernandez

We use dynamic equations to derive a relation between correlation functions and response or relaxation functions in many-body systems. The relation is very general and holds both in equilibrium, when the usual fluctuation-dissipation…

统计力学 · 物理学 2024-07-09 T. R. Kirkpatrick , D. Belitz
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