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The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model with uniform bond disorder is investigated by intensive Monte Carlo simulations. Simple ageing behaviour is observed in the single-time correlator and the two-time…

无序系统与神经网络 · 物理学 2009-01-23 Malte Henkel , Michel Pleimling

We present comprehensive numerical results for domain growth in the two-dimensional {\it Random Bond Ising Model} (RBIM) with nonconserved Glauber kinetics. We characterize the evolution via the {\it domain growth law}, and two-time…

统计力学 · 物理学 2011-06-02 F. Corberi , E. Lippiello , A. Mukherjee , S. Puri , M. Zannetti

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…

统计力学 · 物理学 2010-10-11 Hyunhang Park , Michel Pleimling

We study the nonconserved phase ordering dynamics of the d = 2, 3 random field Ising model, quenched to below the critical temperature. Motivated by the puzzling results of previous work in two and three di- mensions, reporting a crossover…

无序系统与神经网络 · 物理学 2012-02-28 F. Corberi , E. Lippiello , A. Mukherjee , S. Puri , M. Zannetti

A thorough numerical investigation of the slow dynamics in the d=1 random field Ising model in the limit of an infinite ferromagnetic coupling is presented. Crossovers from the preasymptotic pure regime to the asymptotic Sinai regime are…

统计力学 · 物理学 2009-11-07 F. Corberi , A. de Candia , E. Lippiello , M. Zannetti

We study numerically the ordering kinetics in a two-dimensional Ising model with random coupling where the fraction of antiferromagnetic links $a$ can be gradually tuned. We show that, upon increasing such fraction, the behavior changes in…

统计力学 · 物理学 2021-01-12 Manoj Kumar , Federico Corberi , Eugenio Lippiello , Sanjay Puri

The equilibrium and nonequilibrium properties of ferromagnetic systems may be affected by the long-range nature of the coupling interaction. Here we study the phase separation process of a one-dimensional Ising model in the presence of a…

统计力学 · 物理学 2019-08-06 Federico Corberi , Eugenio Lippiello , Paolo Politi

We study numerically the aging dynamics of the two-dimensional p-state clock model after a quench from an infinite temperature to the ferromagnetic phase or to the Kosterlitz-Thouless phase. The system exhibits the general scaling behavior…

统计力学 · 物理学 2018-06-11 Federico Corberi , Eugenio Lippiello , Marco Zannetti

We study the time evolution of the two-dimensional kinetic Ising model in finite systems with a non-conserved order parameter, considering nearest-neighbour interactions on the square lattice with periodic and open boundary conditions.…

统计力学 · 物理学 2019-03-15 James Denholm , Ben Hourahine

The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model with uniform disorder is investigated by intensive Monte Carlo simulations. Taking into account finite-time corrections to scaling, simple ageing behaviour is…

统计力学 · 物理学 2007-09-21 Florian Baumann , Malte Henkel , Michel Pleimling

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

We study the coarsening dynamics of the three-dimensional random field Ising model using Monte Carlo numerical simulations. We test the dynamic scaling and super-scaling properties of global and local two-time observables. We treat in…

无序系统与神经网络 · 物理学 2009-08-12 Camille Aron , Claudio Chamon , Leticia F. Cugliandolo , Marco Picco

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…

统计力学 · 物理学 2009-10-31 C. Godreche , J. M. Luck

The correlation length plays a pivotal role in finite-size scaling and hyperscaling at continuous phase transitions. Below the upper critical dimension, where the correlation length is proportional to the system length, both finite-size…

统计力学 · 物理学 2015-02-18 E. J. Flores-Sola , B. Berche , R. Kenna , M. Weigel

The aging part $R_{ag}(t,s)$ of the impulsive response function of the two dimensional ferromagnetic Ising model, quenched below the critical point, is studied numerically employing a new algorithm without the imposition of the external…

统计力学 · 物理学 2008-07-03 Federico Corberi , Eugenio Lippiello , Marco Zannetti

We provide a resolution of one of the long-standing puzzles in the theory of disordered systems. By reformulating the functional renormalization group (FRG) for the critical behavior of the random field Ising model in a superfield…

统计力学 · 物理学 2015-05-27 Matthieu Tissier , Gilles Tarjus

The domain morphology of weakly disordered ferromagnets, quenched from the high-temperature phase to the low-temperature phase, is studied using numerical simulations. We find that the geometrical properties of the coarsening domain…

无序系统与神经网络 · 物理学 2009-11-13 Alberto Sicilia , Jeferson J. Arenzon , Alan J. Bray , Leticia F. Cugliandolo

It is shown by Monte Carlo method that the finite size scaling (FSS) holds in the two dimensional random-coupled Ising ferromagnet. It is also demonstrated that the form of universal FSS function constructed via novel FSS scheme depends on…

统计力学 · 物理学 2009-10-31 Jae-Kwon Kim

We analyze the violations of linear fluctuation-dissipation theorem (FDT) in the coarsening dynamics of the antiferromagnetic Ising model on percolation clusters in two dimensions. The equilibrium magnetic response is shown to be non linear…

无序系统与神经网络 · 物理学 2009-10-31 P. Butaud , R. Mélin

We consider the ferromagnetic Ising model with Glauber spin flip dynamics in one dimension. The external magnetic field vanishes and the couplings are i.i.d. random variables. If their distribution has compact support, the disorder averaged…

数学物理 · 物理学 2007-05-23 H. Spohn , E. Zhizhina
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