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We compare the ground state of the random-field Ising model with Gaussian distributed random fields, with its non-equilibrium hysteretic counterpart, the demagnetized state. This is a low energy state obtained by a sequence of slow magnetic…

We present numerical studies of zero-temperature Gaussian random-field Ising model (zt-GRFIM) in both equilibrium and non-equilibrium. We compare the no-passing rule, mean-field exponents and universal quantities in 3D (avalanche critical…

统计力学 · 物理学 2013-01-01 Yang Liu , Karin A. Dahmen

By performing a high-statistics simulation of the $D=4$ random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high…

无序系统与神经网络 · 物理学 2016-06-07 Nikolaos G. Fytas , Victor Martin-Mayor , Marco Picco , Nicolas Sourlas

The random-field Ising model (RFIM) is one of the simplest statistical-mechanical models that captures the anomalous irreversible collective response seen in a wide range of physical, biological, or socio-economic situations in the presence…

无序系统与神经网络 · 物理学 2018-04-09 Ivan Balog , Matthieu Tissier , Gilles Tarjus

We investigate the behavior of nonequilibrium phase transitions under the influence of disorder that locally breaks the symmetry between two symmetrical macroscopic absorbing states. In equilibrium systems such "random-field" disorder…

统计力学 · 物理学 2016-02-23 Hatem Barghathi , Thomas Vojta

The nonequilibrium dynamic phase transition, in the two dimensional kinetic Ising model in presence of a randomly varying (in time but uniform in space) magnetic field, has been studied both by Monte Carlo simulation and by solving the mean…

统计力学 · 物理学 2009-10-30 Muktish Acharyya

The Ginzburg-Landau model below its critical temperature in a temporally oscillating external field is studied both theoretically and numerically. As the frequency or the amplitude of the external force is changed, a nonequilibrium phase…

统计力学 · 物理学 2009-10-31 H. Fujisaka , H. Tutu , P. A. Rikvold

Experimental systems with a first order phase transition will often exhibit hysteresis when out of equilibrium. If defects are present, the hysteresis loop can have different shapes: with small disorder the hysteresis loop has a macroscopic…

凝聚态物理 · 物理学 2007-05-23 Olga Perkovic , Karin A. Dahmen , James P. Sethna

Criticality in the class of disordered systems comprising the random-field Ising model (RFIM) and elastic manifolds in a random environment is controlled by zero-temperature fixed points that must be treated through a functional…

无序系统与神经网络 · 物理学 2020-01-29 Ivan Balog , Gilles Tarjus , Matthieu Tissier

We show that, contrary to previous suggestions based on computer simulations or erroneous theoretical treatments, the critical points of the random-field Ising model out of equilibrium, when quasi-statically changing the applied source at…

统计力学 · 物理学 2018-03-21 Ivan Balog , Gilles Tarjus , Matthieu Tissier

We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This…

统计力学 · 物理学 2015-05-18 Nuno Crokidakis

We employ numerical simulations and finite-size scaling techniques to investigate the properties of the dynamic phase transition that is encountered in the Blume-Capel model subjected to a periodically oscillating magnetic field. We mainly…

统计力学 · 物理学 2018-01-18 Erol Vatansever , Nikolaos G. Fytas

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…

统计力学 · 物理学 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

Nonequilibrium behavior and dynamic phase transition properties of a kinetic Ising model under the influence of periodically oscillating random-fields have been analyzed within the framework of effective field theory (EFT) based on a…

统计力学 · 物理学 2012-07-10 Yusuf Yüksel , Erol Vatansever , Ümit Akıncı , Hamza Polat

Nonreciprocal interactions in many-body systems lead to time-dependent states, commonly observed in biological, chemical, and ecological systems. The stability of these states in the thermodynamic limit and the critical behavior of the…

统计力学 · 物理学 2025-04-01 Yael Avni , Michel Fruchart , David Martin , Daniel Seara , Vincenzo Vitelli

We study the hysteretic evolution of the random field Ising model (RFIM) at T=0 when the magnetization M is controlled externally and the magnetic field H becomes the output variable. The dynamics is a simple modification of the…

无序系统与神经网络 · 物理学 2009-11-11 Xavier Illa , Martin-Luc Rosinberg , Prabodh Shukla , Eduard Vives

We present a numerical study of the zero-temperature response of the Gaussian random-field Ising model (RFIM) to a slowly varying external field, allowing the system to be trapped in microscopic configurations that are not fully metastable.…

无序系统与神经网络 · 物理学 2009-07-17 F. Salvat-Pujol , E. Vives , M. L. Rosinberg

The study of nonequilibrium steady-state (NESS) in the Ising model offers rich insights into the properties of complex systems far from equilibrium. This paper explores the nature of NESS phase transitions in two-dimensional (2D)…

统计力学 · 物理学 2024-09-05 Dagne Wordofa Tola , Mulugeta Bekele

Using numerical simulations we investigate the properties of the dynamic phase transition that is encountered in the three-dimensional Ising model subjected to a periodically oscillating magnetic field. The values of the critical exponents…

统计力学 · 物理学 2013-04-01 Hyunhang Park , Michel Pleimling

We study numerically the number of single-spin-flip stable states in the T=0 Random Field Ising Model (RFIM) on random regular graphs of connectivity $z=2$ and $z=4$ and on the cubic lattice. The annealed and quenched complexities (i.e. the…

无序系统与神经网络 · 物理学 2007-10-08 F. J. Perez-Reche , M. L. Rosinberg , G. Tarjus
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