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We introduce a schematic non-linear diffusion model where density fluctuations induce a rich out of equilibrium dynamics. The properties of the model are studied by numerical simulations and analytically in a mean field approximation. At…

Statistical Mechanics · Physics 2008-07-03 Federico Corberi , Mario Nicodemi , Marina Piccioni , Antonio Coniglio

Apparent critical phenomena, typically indicated by growing correlation lengths and dynamical slowing-down, are ubiquitous in non-equilibrium systems such as supercooled liquids, amorphous solids, active matter and spin glasses. It is often…

Soft Condensed Matter · Physics 2021-04-07 Huaping Li , Yuliang Jin , Ying Jiang , Jeff Z. Y. Chen

We investigate numerically the time dependence of "window" overlaps in a three-dimensional Ising spin glass below its transition temperature after a rapid quench. Using an efficient GPU implementation, we are able to study large systems up…

Statistical Mechanics · Physics 2015-04-09 Markus Manssen , Alexander K. Hartmann , A. P. Young

We present the first analytic study of finite-size effects on critical diffusion above and below T_c of three-dimensional Ising-like systems whose order parameter is coupled to a conserved density. We also calculate the finite-size…

Statistical Mechanics · Physics 2009-10-31 Wolfgang Koch , Volker Dohm

Nonequilibrium dynamics of the $\pm J$ Ising, the {\it XY}, and the Heisenberg spin-glass models are investigated in three dimensions. A nonequilibrium dynamic exponent is calculated from the dynamic correlation length. The spin-glass…

Disordered Systems and Neural Networks · Physics 2007-05-23 Tota Nakamura

We numerically study the aging properties of the dynamical heterogeneities in the Ising spin glass. We find that a phase transition takes place during the aging process. Statics-dynamics correspondence implies that systems of finite size in…

We investigate the off-equilibrium dynamics of a classical spin system with $O(n)$ symmetry in $2< D <4$ spatial dimensions and in the limit $n\to \infty$. The system is set up in an ordered equilibrium state is and subsequently driven out…

Statistical Mechanics · Physics 2018-11-22 Stefano Scopa , Sascha Wald

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…

In this paper we extend the earlier treatment of out-of-equilibrium mesoscopic fluctuations in glassy systems in several significant ways. First, via extensive simulations, we demonstrate that models of glassy behavior without quenched…

Statistical Mechanics · Physics 2009-11-10 C. Chamon , P. Charbonneau , L. F. Cugliandolo , D. R. Reichman , M. Sellitto

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 consider the Langevin dynamics of a many-body system of interacting particles in $d$ dimensions, in a very general setting suitable to model several out-of-equilibrium situations, such as liquid and glass rheology, active self-propelled…

Disordered Systems and Neural Networks · Physics 2019-03-22 Elisabeth Agoritsas , Thibaud Maimbourg , Francesco Zamponi

We derive analytical results for the large-time relaxation of the Sherrington - Kirkpatrick model in the thermodynamic limit, starting from a random configuration. The system never achieves local equilibrium in any fixed sector of…

Condensed Matter · Physics 2009-10-22 L. F. Cugliandolo , J. Kurchan

A three-dimensional $\pm J$ XY spin-glass model is investigated by a nonequilibrium relaxation method. We have introduced a new criterion for the finite-time scaling analysis. A transition temperature is obtained by a crossing point of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Takeo Yamamoto , Takeshi Sugashima , Tota Nakamura

The non-equilibrium dynamics of a one-dimensional Ising model with uniform, short-ranged three-spin interactions is investigated. It is shown that this model possesses an exponentially large number of metastable configurations that are…

Condensed Matter · Physics 2007-05-23 J. Kisker H. Rieger , M. Schreckenberg

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…

Disordered Systems and Neural Networks · Physics 2009-11-11 Barbara Capone , Tommaso Castellani , Irene Giardina , Federico Ricci-Tersenghi

We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

Statistical Mechanics · Physics 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

We investigate the critical behavior of the Kinetic Ising model with non-reciprocal nearest neighbors interactions. A finite-size scaling study suggests that the model belongs to the Ising universality class. We characterize the…

Statistical Mechanics · Physics 2024-08-22 Luca Di Carlo

Nonequilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and Kawasaki-type spin-exchange kinetics at infinite temperature T are investigated here in one dimension from the point of view of…

Statistical Mechanics · Physics 2015-06-24 Nora Menyhard , Geza Odor

We revisit here the problem of the collective non-equilibrium dynamics of a classical statistical system at a critical point and in the presence of surfaces. The effects of breaking separately space- and time-translational invariance are…

Statistical Mechanics · Physics 2014-11-24 Matteo Marcuzzi , Andrea Gambassi

We review recent theoretical progress on glassy dynamics, with special emphasis on the importance and universality of the ``aging regime'', which is relevant to many experimental situations. The three main subjects which we address are: (i)…

Disordered Systems and Neural Networks · Physics 2008-02-03 Jean-Philippe Bouchaud , Leticia F. Cugliandolo , Jorge Kurchan , Marc Mezard