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We calculate analytically the fluctuation-dissipation ratio (FDR) for Ising ferromagnets quenched to criticality, both for the long-range model and its short-range analogue in the limit of large dimension. Our exact solution shows that, for…

Statistical Mechanics · Physics 2013-09-03 A. Garriga , P. Sollich , I. Pagonabarraga , F. Ritort

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…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , Andrea Gambassi , Florent Krzakala

In the past few years systems with slow dynamics have attracted considerable theoretical and experimental interest. Ageing phenomena are observed during this ever-lasting non-equilibrium evolution. A simple instance of such a behaviour is…

Statistical Mechanics · Physics 2011-07-19 Pasquale Calabrese , Andrea Gambassi

We discuss how to calculate non-equilibrium universal amplitude ratios in the functional renormalization group approach, extending its applicability. In particular, we focus on the critical relaxation of the Ising model with non-conserved…

Statistical Mechanics · Physics 2022-06-22 Michele Vodret , Alessio Chiocchetta , Andrea Gambassi

We study the dynamics of ferromagnetic spin systems quenched from infinite temperature to their critical point. We show that these systems are aging in the long-time regime, i.e., their two-time autocorrelation and response functions and…

Statistical Mechanics · Physics 2009-10-31 C. Godreche , J. M. Luck

We study the purely relaxational dynamics (model A) at criticality in three-dimensional disordered Ising systems whose static critical behaviour belongs to the randomly diluted Ising universality class. We consider the site-diluted and…

Disordered Systems and Neural Networks · Physics 2009-11-13 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

We study the off-equilibrium response and correlation functions and the corresponding fluctuation-dissipation ratio for a purely dissipative relaxation of an O(N) symmetric vector model (Model A) below its upper critical dimension. The…

Statistical Mechanics · Physics 2008-12-18 Pasquale Calabrese , Andrea Gambassi

Within the universality class of ferromagnetic vector models with O(n) symmetry and purely dissipative dynamics, we study the non-equilibrium critical relaxation from a magnetized initial state. Transverse correlation and response functions…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , Andrea Gambassi

We comprehensively study non-equilibrium relaxation and aging processes in the two-dimensional random-site Ising model through numerical simulations. We discuss the dynamical correlation length as well as scaling functions of various…

Statistical Mechanics · Physics 2010-10-11 Hyunhang Park , Michel Pleimling

We consider the out-of-equilibrium, purely relaxational dynamics of a weakly diluted Ising model in the aging regime at criticality. We derive at first order in a $\sqrt{\epsilon}$ expansion the two-time response and correlation functions…

Statistical Mechanics · Physics 2011-07-19 Pasquale Calabrese , Andrea Gambassi

We study the non-equilibrium dynamics of the spherical ferromagnet quenched to its critical temperature, as a function of the magnetization of the initial state. The two limits of unmagnetized and fully magnetized initial conditions can be…

Disordered Systems and Neural Networks · Physics 2009-11-13 Alessia Annibale , Peter Sollich

We adapt the non-linear $\sigma$ model to study the nonequilibrium critical dynamics of O(n) symmetric ferromagnetic system. Using the renormalization group analysis in $d=2+\epsilon$ dimensions we investigate the pure relaxation of the…

Statistical Mechanics · Physics 2009-11-11 Andrei A. Fedorenko , Steffen Trimper

We consider the two-dimensional randomly site diluted Ising model and the random-bond +-J Ising model (also called Edwards-Anderson model), and study their critical behavior at the paramagnetic-ferromagnetic transition. The critical…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. Hasenbusch , F. Parisen Toldin , A. Pelissetto , E. Vicari

We numerically investigate the stationary and non-equilibrium critical dynamics in three-dimensional isotropic Heisenberg antiferromagnets. Since the non-conserved staggered magnetization couples dynamically to the conserved magnetization…

Statistical Mechanics · Physics 2019-02-27 Riya Nandi , Uwe C. Täuber

The fluctuation-dissipation relation (FDR), a fundamental result of equilibrium statistical physics, ceases to be valid when a system is taken out of the equilibrium. A generalization of FDR has been theoretically proposed for…

Soft Condensed Matter · Physics 2015-06-29 Claudio Maggi , Roberto Di Leonardo , Jeppe C. Dyre , Giancarlo Ruocco

We present an extension of the functional renormalization group (FRG) framework developed to compute critical probability distributions of the order parameter to momentum-dependent observables. Focusing on the constraint effective action at…

Statistical Mechanics · Physics 2026-05-08 Félix Rose , Adam Rançon , Ivan Balog

We test the quasi-equilibrium picture of the aging dynamics -strictly valid in the asymptotic dynamical regime of aging systems- in the pre-asymptotic aging regime of the two dimensional Edwards-Anderson spin glass model. We compare the…

Statistical Mechanics · Physics 2011-11-29 S. Franz , V. Lecomte , R. Mulet

The random-field Ising model shows extreme critical slowdown that has been described by activated dynamic scaling: the characteristic time for the relaxation to equilibrium diverges exponentially with the correlation length, $\ln \tau\sim…

Statistical Mechanics · Physics 2017-10-12 Ivan Balog , Gilles Tarjus

The violation of the Fluctuation-Dissipation Theorem (FDT) in a two-dimensional Ising model with both ferromagnetic exchange and antiferromagnetic dipolar interactions is established and investigated via Monte Carlo simulations. Through the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Daniel A. Stariolo , Sergio A. Cannas

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
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