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Related papers: Generalized off-equilibrium fluctuation-dissipatio…

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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…

Mathematical Physics · Physics 2007-10-03 Kieran Kelly , Przemysław Repetowicz , Seosamh macRéamoinn

We consider off-equilibrium dynamics at the critical temperature in a class of glassy system. The off-equilibrium correlation and response functions obey a precise scaling form in the aging regime. The structure of the {\it equilibrium}…

Disordered Systems and Neural Networks · Physics 2013-03-18 Francesco Caltagirone , Giorgio Parisi , Tommaso Rizzo

It is shown that off-diagonal fluctuations of interaction lead to the breakdown of perturbation theory in the immediate vicinity of the ground-state of a fermionic system at a rate inversely proportional to the number of considered…

Condensed Matter · Physics 2007-05-23 Philippe Jacquod

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest…

Statistical Mechanics · Physics 2014-12-10 Oscar A. Pinto , Federico Romá , Sebastian Bustingorry

In equilibrium, the fluctuation-dissipation theorem (FDT) expresses the response of an observable to a small perturbation by a correlation function of this variable with another one that is conjugate to the perturbation with respect to…

Statistical Mechanics · Physics 2010-10-13 Udo Seifert , Thomas Speck

Currents of particles or energy in driven nonequilibrium steady states are known to satisfy certain symmetries, referred to as fluctuation relations, determining the ratio of the probabilities of positive fluctuations to negative ones. A…

Statistical Mechanics · Physics 2014-02-27 Rodrigo Villavicencio-Sanchez , Rosemary J. Harris , Hugo Touchette

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…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier , Peter C. W. Holdsworth , Mauro Sellitto

We experimentally characterize the fluctuations of the non-homogeneous non-isotropic turbulence in an axisymmetric von K\'arm\'an flow. We show that these fluctuations satisfy relations analogous to classical Fluctuation-Dissipation…

Approximate weak solutions of the Fokker-Planck equation can represent a useful tool to analyze the equilibrium fluctuations of birth-death systems, as they provide a quantitative knowledge lying in between numerical simulations and exact…

Physics and Society · Physics 2015-09-08 Filippo Palombi , Simona Toti

Understanding how systems respond to external perturbations is a fundamental challenge in physics, particularly for non-equilibrium and non-stationary processes. The fluctuation-dissipation theorem provides a complete framework for…

Statistical Mechanics · Physics 2026-05-06 Jiming Zheng , Zhiyue Lu

We consider the spatial correlation function of the two-dimensional Ising spin glass under out-equilibrium conditions. We pay special attention to the scaling limit reached upon approaching zero temperature. The field-theory of a…

Disordered Systems and Neural Networks · Physics 2018-10-25 L. A. Fernandez , E. Marinari , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

We consider a general N-degree-of-freedom dissipative system which admits of chaotic behaviour. Based on a Fokker-Planck description associated with the dynamics we establish that the drift and the diffusion coefficients can be related…

Chaotic Dynamics · Physics 2009-10-31 Bidhan Chandra Bag , Deb Shankar Ray

We discuss the relation between the fluctuation-dissipation relation derived by Chatelain and Ricci-Tersenghi [C.Chatelain, J.Phys. A {\bf 36}, 10739 (2003); F. Ricci-Tersenghi, Phys.Rev.E 68, 065104(R) (2003)] and that by…

Statistical Mechanics · Physics 2010-01-19 Federico Corberi , Eugenio Lippiello , Alessandro Sarracino , Marco Zannetti

We study the out-of-equilibrium dynamics of the spherical ferromagnet after a quench to its critical temperature. We calculate correlation and response functions for spin observables which probe lengthscales much larger than the lattice…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. Annibale , P. Sollich

The universality class of thermally diluted Ising systems, in which the realization of the disposition of magnetic atoms and vacancies is taken from the local distribution of spins in the pure original Ising model at criticality, is…

Statistical Mechanics · Physics 2009-10-31 M. I. Marques , J. A. Gonzalo , J. Iniguez

A system is glassy when the observation time is much smaller than the equilibration time. A unifying thermodynamic picture of the glassy state is presented. Slow configurational modes are in quasi-equilibrium at an effective temperature. It…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

The Griffiths phase in systems with quenched disorder occurs below the ordering transition of the pure system down to the ordering transition of the actual disordered system. While it does not exhibit long-range order, large fluctuations in…

Disordered Systems and Neural Networks · Physics 2024-11-14 Lambert Münster , Alexander K. Hartmann , Martin Weigel

We perform equilibrium parallel-tempering simulations of the 3D Ising Edwards-Anderson spin glass in a field. A traditional analysis shows no signs of a phase transition. Yet, we encounter dramatic fluctuations in the behaviour of the…

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…

Statistical Mechanics · Physics 2016-11-02 Bernhard Altaner , Matteo Polettini , Massimiliano Esposito

We investigate, analytically near the dimension $d_{uc}=4$ and numerically in $d=3$, the non equilibrium relaxational dynamics of the randomly diluted Ising model at criticality. Using the Exact Renormalization Group Method to one loop, we…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr , Raja Paul
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