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We show that for stochastic dynamical systems out of equilibrium the violation of the fluctuation-dissipation equality is bounded by a function of the entropy production. The result applies to a much wider situation than `near equilibrium',…

统计力学 · 物理学 2009-01-23 Leticia F. Cugliandolo , David S. Dean , Jorge Kurchan

We investigate by means of molecular dynamics simulation a coarse-grained polymer glass model focusing on (quasi-static and dynamical) shear-stress fluctuations as a function of temperature T and sampling time $\Delta t$. The linear…

软凝聚态物质 · 物理学 2018-01-17 I. Kriuchevskyi , J. P. Wittmer , H. Meyer , O. Benzerara , J. Baschnagel

Measured exponents associated with Stretched Exponential Relaxation (SER) are widely scattered in microscopically inhomogeneous glasses, but accurately bifurcate into two "magic" values, 3/5 and 3/7, in a wide variety of microscopically…

软凝聚态物质 · 物理学 2015-05-28 G. G. Naumis , J. C. Phillips

We analyze the validity of the fluctuation-dissipation theorem for slow relaxation systems in the context of mesoscopic nonequilibrium thermodynamics. We demonstrate that the violation arises as a natural consequence of the elimination of…

统计力学 · 物理学 2009-11-07 A. Perez-Madrid , D. Reguera , J. M. Rubi

The diffusion of glycerol molecules decreases with decreasing temperature as its viscosity increases in a manner simply described by the Stokes-Einstein(SE) relation. Approaching the glass transition, this relation breaks down as it does…

无序系统与神经网络 · 物理学 2007-05-23 Bo Chen , Eric E. Sigmund , W. P. Halperin

In glassy materials aging proceeds at large times via thermal activation. We show that this can lead to negative dynamical response functions and novel and well-defined violations of the fluctuation-dissipation theorem, in particular,…

统计力学 · 物理学 2007-05-23 Peter Mayer , Sébastien Léonard , Ludovic Berthier , Juan P. Garrahan , Peter Sollich

In cond-mat/0002074 Ricci-Tersenghi et al. find two linear regimes in the fluctuation-dissipation relation between density-density correlations and associated responses of the Frustrated Ising Lattice Gas. Here we show that this result does…

统计力学 · 物理学 2009-11-07 A. de Candia , A. Coniglio

Using the generalized Langevin equations involving the stress tensor approach, we study the dynamics of a perfectly reflecting mirror which is exposed to the electromagnetic radiation pressure by a laser beam in a fluid at finite…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Chun-Hsien Wu , Da-Shin Lee

The collective behaviour of statistical systems close to critical points is characterized by an extremely slow dynamics which, in the thermodynamic limit, eventually prevents them from relaxing to an equilibrium state after a change in the…

统计力学 · 物理学 2009-07-13 Andrea Gambassi

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 the non-equilibrium version of the fluctuation dissipation (FD) relation in the glass phase of a trap model that is driven into a non-equilibrium steady state by external ``shear''. This extends our recent study of ageing FD…

统计力学 · 物理学 2007-05-23 Suzanne Fielding , Peter Sollich

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 this paper we numerically examine the connection of the Gallavotti-Cohen fluctuation formula and the functional form of the corresponding probability density function in the field driven Lorentz gas thermostated by the Gaussian…

混沌动力学 · 物理学 2007-05-23 M. Dolowschiak , Z. Kovacs

We investigate the nonequilibrium behavior of the d-dimensional Ising model with purely dissipative dynamics during its critical relaxation from a magnetized initial configuration. The universal scaling forms of the two-time response and…

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

In this note we discuss a paradigmatic example of interacting particles subject to non conservative external forces and to the action of thermostats consisting of external (finite) reservoirs of particles. We then consider a model of…

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

We show that thermodynamic scaling can be derived by combining the Murnaghan equation of state (EOS) with the generalized entropy theory (GET) of glass formation. In our theory, thermodynamic scaling arises in the non-Arrhenius relaxation…

软凝聚态物质 · 物理学 2021-03-18 Jack F. Douglas , Wen-Sheng Xu

Possibility of description of the glass transition in terms of critical dynamics considering a hierarchy of the intermodal relaxation time is shown. The generalized Vogel-Fulcher law for the system relaxation time is derived in terms of…

统计力学 · 物理学 2007-05-23 M. G. Vasin

At the beginning of last century, Gerlach and Lehrer observed the rotational Brownian motion of a very fine wire immersed in an equilibrium environment, a gas. This simple experiment eventually permitted the full development of one of the…

统计力学 · 物理学 2009-11-10 G. D'Anna , P. Mayor , A. Barrat , V. Loreto , F. Nori

Mean-field models of glasses that present a random first order transition exhibit highly non-trivial fluctuations. Building on previous studies that focused on the critical scaling regime, we here obtain a fully quantitative framework for…

无序系统与神经网络 · 物理学 2022-08-09 Giampaolo Folena , Giulio Biroli , Patrick Charbonneau , Yi Hu , Francesco Zamponi

For a quantum system in a macroscopically large volume $V$, prepared in a pure state and subject to maximally noisy or ergodic unitary dynamics, the reduced density matrix of any sub-system $v\ll V$ is almost surely totally mixed. We show…

统计力学 · 物理学 2020-01-15 Michel Bauer , Denis Bernard , Tony Jin