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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

We present an exact treatment of the hysteresis behavior of the zero-temperature random-field Ising model on a Bethe lattice when it is driven by an external field and evolved according to a 2-spin-flip dynamics. We focus on lattice…

无序系统与神经网络 · 物理学 2009-11-11 Xavier Illa , Martin-Luc Rosinberg , Gilles Tarjus

The behaviour of the Random Anisotropy Ising model at T=0 under local relaxation dynamics is studied. The model includes a dominant ferromagnetic interaction and assumes an infinite anisotropy at each site along local anisotropy axes which…

无序系统与神经网络 · 物理学 2009-10-31 Eduard Vives , Antoni Planes

We use the zero-temperature random-field Ising model to study hysteretic behavior at first-order phase transitions. Sweeping the external field through zero, the model exhibits hysteresis, the return-point memory effect, and avalanche…

With large-scale Monte Carlo simulations, we investigate the nonsteady relaxation at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model. The dynamic scaling behavior is carefully analyzed, and the…

统计力学 · 物理学 2023-06-21 Xiaohui Qian , Gaotian Yu , Nengji Zhou

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

A numerical study is presented of the 3d Gaussian Random Field Ising Model at T=0 driven by an external field. Standard synchronous relaxation dynamics is employed to obtain the magnetization versus field hysteresis loops. The focus is on…

无序系统与神经网络 · 物理学 2009-11-07 F. J. Perez-Reche , Eduard Vives

In this thesis, we discuss nonequilibrium ferromagnetic random field Ising model (RFIM) with zero temperature Glauber single spin flip dynamics. We briefly review the hysteresis in ferromagnets and Barkhausen effect. We discuss some earlier…

统计力学 · 物理学 2009-09-29 Sanjib Sabhapandit

We consider the zero-temperature single-spin-flip dynamics of the random-field Ising model on a Bethe lattice in the presence of an external field h. We derive the exact self-consistent equations to determine the distribution Prob(s) of…

统计力学 · 物理学 2008-04-10 Sanjib Sabhapandit , Prabodh Shukla , Deepak Dhar

We present numerical simulations of avalanches and critical phenomena associated with hysteresis loops, modeled using the zero-temperature random-field Ising model. We study the transition between smooth hysteresis loops and loops with a…

无序系统与神经网络 · 物理学 2009-10-31 Olga Perkovic , Karin A. Dahmen , James P. Sethna

In this paper, we study the evolution of the zero-temperature random field Ising model as the mean of the external field $M$ increases from $-\infty$ to $\infty$. We focus on two types of evolutions: the ground state evolution and the…

概率论 · 数学 2025-12-03 Jian Ding , Peng Yang , Zijie Zhuang

We investigate the non-equilibrium behavior of the $3d$ random field Ising model at finite temperature, as an external field is increased through its coercive field. We show by numerical simulations that the phenomenology of avalanches --…

统计力学 · 物理学 2024-12-17 Liheng Yao , Robert L. Jack

In order to elucidate the relationship between rate-independent hysteresis and metastability in disordered systems driven by an external field, we study the Gaussian RFIM at T=0 on regular random graphs (Bethe lattice) of finite…

无序系统与神经网络 · 物理学 2009-11-13 M. L. Rosinberg , G. Tarjus , F. J. Perez-Reche

A brief survey of the theoretical, numerical and experimental studies of the random field Ising model during last three decades is given. Nature of the phase transition in the three-dimensional RFIM with Gaussian random fields is discussed.…

无序系统与神经网络 · 物理学 2009-11-13 Victor Dotsenko

We consider the single-spin-flip dynamics of the random-field Ising model on a Bethe lattice at zero temperature in the presence of a uniform external field. We determine the average magnetization as the external field is varied from minus…

统计力学 · 物理学 2009-10-28 Deepak Dhar , Prabodh Shukla , James P. Sethna

We show for the Ising model that is possible construct a discrete time stochastic model analogous to the Langevin equation that incorporates an arbitrary amount of damping. It is shown to give the correct equilibrium statistics and is then…

材料科学 · 物理学 2013-05-29 J. M. Deutsch , A. Berger

Hysteresis is studied in a disordered Ising model in which diffusion of antiferromagnetic bonds is allowed in addition to spin flips. Saturation behavior changes to a figure-eight loop when diffusion is introduced. The upper and lower…

无序系统与神经网络 · 物理学 2007-05-23 D. Capeta , D. K. Sunko

We consider the hysteretic behavior of Ising spin glasses at $T=0$ for various modes of driving. Previous studies mostly focused on an infinitely slow speed $\dot{H}$ by which the external field $H$ was ramped to trigger avalanches of spin…

无序系统与神经网络 · 物理学 2024-09-23 Mahajabin Rahman , Stefan Boettcher

The zero-temperature random-field Ising model is solved analytically for magnetisation vs external field for a bi-layered Bethe lattice. The mechanisms of infinite avalanches which are observed for small values of disorder are established.…

统计力学 · 物理学 2013-08-21 Thomas P Handford , Francisco J Pérez-Reche , Sergei N Taraskin

In studying the avalanches and noise in a model of hysteresis loops we have developed two relatively straightforward algorithms which have allowed us to study large systems efficiently. Our model is the random-field Ising model at zero…

无序系统与神经网络 · 物理学 2017-06-06 Matthew C. Kuntz , Olga Perkovic , Karin A. Dahmen , Bruce W. Roberts , James P. Sethna
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