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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

We analyse the Langevin dynamics of the random walk, the scalar field, the X-Y model and the spinoidal decomposition. We study the deviations from the equilibrium dynamics theorems (FDT and homogeneity), the asymptotic behaviour of the…

凝聚态物理 · 物理学 2009-10-22 L. F. Cugliandolo , J. Kurchan , G. Parisi

We review a statistical picture of the glassy state derived from the analysis of the off-equilibrium fluctuation-dissipation relations. We define an ultra-long time limit where ``one time quantities'' are close to equilibrium while response…

统计力学 · 物理学 2009-11-07 Silvio Franz

Glass-forming liquids display strong fluctuations -- dynamical heterogeneities -- near their glass transition. By numerically simulating a binary Weeks-Chandler-Andersen liquid and varying both temperature and timescale, we investigate the…

无序系统与神经网络 · 物理学 2011-08-15 Azita Parsaeian , Horacio E. Castillo

We discuss fluctuation-dissipation relations valid under general conditions even out of equilibrium. The response function is expressed in terms of unperperturbed correlation functions, where contributions peculiar to non-equilibrium can…

A new method is proposed to numerically extract the diffusivity of a (typically nonlinear) diffusion equation from underlying stochastic particle systems. The proposed strategy requires the system to be in local equilibrium and have…

统计力学 · 物理学 2018-05-09 Peter Embacher , Nicolas Dirr , Johannes Zimmer , Celia Reina

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

Systems with a complex dynamics like glasses or models of biological evolution are often pictured in terms of complex landscapes, with a large number of possible collective states. We show on the example of a stochastic spin model with…

无序系统与神经网络 · 物理学 2026-02-03 Laura Guislain , Eric Bertin

We study the out-of-equilibrium fluctuation-dissipation (FD) relations in the low temperature, finite time, physical aging regime of two simple models with strong glass behaviour, the Fredrickson-Andersen model and the square-plaquette…

统计力学 · 物理学 2009-11-07 Arnaud Buhot , Juan P. Garrahan

The nonequilibrium critical dynamics of the 2D XY model is investigated numerically through Monte Carlo simulations and analytically in the spin-wave approximation. We focus in particular on the behaviour of the two-time response and…

统计力学 · 物理学 2009-10-31 Ludovic Berthier , Peter C. W. Holdsworth , Mauro Sellitto

The unique fluctuation-dissipation theorem for equilibrium stands in contrast with the wide variety of nonequilibrium linear response formulae. Their most traditional approach is "analytic", which, in the absence of detailed balance,…

统计力学 · 物理学 2013-01-21 Marco Baiesi , Christian Maes

Inspired by one--dimensional light--particle systems, the dynamics of a non-Hamiltonian system with long--range forces is investigated. While the molecular dynamics does not reach an equilibrium state, it may be approximated in the…

统计力学 · 物理学 2019-01-23 Romain Bachelard , Nicola Piovella , Shamik Gupta

We analyze a pair of diffusion equations which are derived in the infinite system--size limit from a microscopic, individual--based, stochastic model. Deviations from the conventional Fickian picture are found which ultimately relate to the…

统计力学 · 物理学 2015-05-18 Duccio Fanelli , Alan J. McKane

This work is devoted to the study of relaxation--dissipation processes in systems described by Quantum Field Theory. In the first part, I focus on the phi^4 scalar quantum field theory in finite volume in the large N limit. I find that the…

高能物理 - 唯象学 · 物理学 2007-05-23 E. Manfredini

We review an scenario for the non-equilibrium dynamics of glassy systems that has been motivated by the exact solution of simple models. This approach allows one to set on firmer grounds well-known phenomenological theories. The old ideas…

统计力学 · 物理学 2009-11-07 Leticia F. Cugliandolo

We study the formation of coherent structures in a system with long-range interactions where particles moving on a circle interact through a repulsive cosine potential. Non equilibrium structures are shown to correspond to statistical…

统计力学 · 物理学 2009-11-07 Julien Barre' , Freddy Bouchet , Thierry Dauxois , Stefano Ruffo

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

统计力学 · 物理学 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

We study analytically the dynamics of a generalized p-spin model, starting with a thermalized initial condition. The model presents birth and death of states, hence the dynamics (even starting at equilibrium) may go out of equilibrium when…

无序系统与神经网络 · 物理学 2009-11-11 Barbara Capone , Tommaso Castellani , Irene Giardina , Federico Ricci-Tersenghi

We show that a non-equilibrium diffusive dynamics in a finite-dimensional space takes in the Lagrangian frame of its mean local velocity an equilibrium form with the detailed balance property. This explains the equilibrium nature of the…

统计力学 · 物理学 2015-05-13 Raphael Chetrite , Krzysztof Gawedzki

We study the link between relaxation to the equilibrium and anomalous superdiffusive motion in a classical N-body hamiltonian system with long-range interaction showing a second-order phase-transition in the canonical ensemble. Anomalous…

统计力学 · 物理学 2009-10-31 V. Latora , A. Rapisarda , S. Ruffo