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On general grounds, a nonequilibrium temperature can be consistently defined from generalized fluctuation-dissipation relations only if it is independent of the observable considered. We argue that the dependence on the choice of observable…

统计力学 · 物理学 2010-04-22 Kirsten Martens , Eric Bertin , Michel Droz

In thermal equilibrium, the fluctuation-dissipation theorem relates the linear response and correlation functions in a model and observable independent fashion. Out of equilibrium, these relations still hold if the equilibrium temperature…

统计力学 · 物理学 2015-06-23 T. S. Bortolin , A. Iucci

In the context of an exactly soluble out of equilibrium (quenched) model, we study an extension of the fluctuation-dissipation relation. This involves a modified differential form of this relation, with an effective temperature which may…

高能物理 - 理论 · 物理学 2015-07-24 A. L. M. Britto , Ashok K. Das , J. Frenkel

Traditionally, it is understood that fluctuations in the equilibrium distribution are not evident in thermodynamic systems of large $N$ (the number of particles in the system) \cite{Huang1}. In this paper we examine the validity of this…

数学物理 · 物理学 2007-10-03 Kieran Kelly , Przemysław Repetowicz , Seosamh macRéamoinn

We study the non-equilibrium version of the fluctuation-dissipation theorem (FDT) within the glass phase of Bouchaud's trap model. We incorporate into the model an arbitrary observable m and obtain its correlation and response functions in…

统计力学 · 物理学 2009-11-07 Suzanne Fielding , Peter Sollich

The fluctuation-dissipation-theorem connects equilibrium to mildly (linearly) perturbed situations in a thermodynamic manner: It involves the observable of interest and the entropy production caused by the perturbation. We derive a relation…

统计力学 · 物理学 2021-03-24 Tristan Holsten , Matthias Krüger

We investigate non-equilibrium behavior of driven dissipative systems, using the model presented in [Phys. Rev. Lett. 93, 240601 (2004)]. We solve the non-Boltzmann steady state energy distribution and the temporal evolution to it, and find…

统计力学 · 物理学 2007-05-23 Yair Shokef , Dov Levine

The violations of the fluctuation-dissipation theorem are analyzed for a trap model with a gausssian density of states. In this model, the system reaches thermal equilibrium for long times after a quench to any finite temperature and…

软凝聚态物质 · 物理学 2015-06-25 Gregor Diezemann

Exact theoretical results for the violation of time dependent fluctuation-dissipation relations in driven dissipative systems are presented. The ratio of correlation to delayed response in the stochastic model introduced in [Phys. Rev.…

统计力学 · 物理学 2007-05-23 Yair Shokef , Guy Bunin , Dov Levine

We study a class of nonequilibrium lattice models which describe local redistributions of a globally conserved energy. A particular subclass can be solved analytically, allowing to define a temperature T_{th} along the same lines as in the…

统计力学 · 物理学 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz

Departures of observables from their thermal equilibrium expectation values are studied under heat flow in steady-state non-equilibrium environments. The relation between the spatial and temperature dependence of these non-equilibrium…

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

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 nonexponential relaxation and aging inherent to complex dynamics manifested in a wide variety of dissipative systems is analyzed through a model of diffusion in phase space in the presence of a nonconservative force. The action of this…

统计力学 · 物理学 2009-11-11 A. Perez-Madrid

The present paper studies a large class of temperature dependent probability distributions and shows that entropy and energy can be defined in such a way that these probability distributions are the equilibrium states of a generalized…

统计力学 · 物理学 2015-06-24 Jan Naudts

We discuss the observable-dependence of the effective temperature $T_{eff}$, defined via the fluctuation-dissipation relation, of an out-of-equilibrium system composed by homonuclear dumbbell molecules. $T_{eff}$ is calculated by evaluating…

统计力学 · 物理学 2014-06-25 Andrea Saverio Ninarello , Nicoletta Gnan , Francesco Sciortino

This review presents the effective temperature notion as defined from the deviations from the equilibrium fluctuation-dissipation theorem in out of equilibrium systems with slow dynamics. The thermodynamic meaning of this quantity is…

统计力学 · 物理学 2015-05-28 Leticia F. Cugliandolo

The fluctuation-dissipation theorem is a fundamental result in statistical physics that establishes a connection between the response of a system subject to a perturbation and the fluctuations associated with observables in equilibrium.…

量子物理 · 物理学 2022-08-03 Tanmoy Biswas , A. de Oliveira Junior , Michał Horodecki , Kamil Korzekwa

We consider the problem of the definition of an effective temperature via the long-time limit of the fluctuation-dissipation ratio (FDR) after a quench from the disordered state to the critical point of an O(N) model with dissipative…

统计力学 · 物理学 2011-02-16 Pasquale Calabrese , Andrea Gambassi

We present evidence in favor of the possibility of treating an out-of-equilibrium supercooled simple liquid as a system in quasi-equilibrium. Two different temperatures, one controlled by the external bath and one internally selected by the…

软凝聚态物质 · 物理学 2009-10-31 Francesco Sciortino , Piero Tartaglia

Gibbs and Boltzmann definitions of temperature agree only in the macroscopic limit. The ambiguity in identifying the equilibrium temperature of a finite sized `small' system exchanging energy with a bath is usually understood as a…

生物物理 · 物理学 2015-03-09 Purushottam D. Dixit
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