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In the present chapter, we focus on the switching of magnetisation, or the metastable lifetime of a ferromagnetic system. In this regard, particularly the Ising model and the Blume-Capel model, have been simulated in the presence of an…

统计力学 · 物理学 2023-04-27 Moumita Naskar , Muktish Acharyya

On locally tree-like random graphs, we relate the random cluster model with external magnetic fields and $q\geq 2$ to Ising models with vertex-dependent external fields. The fact that one can formulate general random cluster models in terms…

概率论 · 数学 2025-03-25 Van Hao Can , Remco van der Hofstad

We revisit the phenomenon of spinodals in the presence of quenched disorder and develop a complete theory for it. We focus on the spinodal of an Ising model in a quenched random field (RFIM), which has applications in many areas from…

软凝聚态物质 · 物理学 2016-05-23 Saroj Kumar Nandi , Giulio Biroli , Gilles Tarjus

We have measured magnetic-field-induced avalanches in a square artificial spin ice array of interacting nanomagnets. Starting from the ground state ordered configuration, we imaged the individual nanomagnet moments after each successive…

介观与纳米尺度物理 · 物理学 2021-11-24 N. S. Bingham , S. Rooke , J. Park , A. Simon , W. Zhu , X. Zhang , J. Batley , J. D. Watts , C. Leighton , K. A. Dahmen , P. Schiffer

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

We consider the non-conserved dynamics of the Ising model on the two-dimensional square lattice, where each spin is influenced preferentially by its East and North neighbours. The single-spin flip rates are such that the stationary state is…

统计力学 · 物理学 2014-12-09 Claude Godreche , Michel Pleimling

We investigate the nucleation dynamics of the three-dimensional random field Ising model (RFIM) under an external field. We use umbrella sampling to compute the free-energy cost of a critical nucleus, and use forward flux sampling for the…

统计力学 · 物理学 2024-12-09 Liheng Yao , Robert L. Jack

We enlighten some critical aspects of the three-dimensional ($d=3$) random-field Ising model from simulations performed at zero temperature. We consider two different, in terms of the field distribution, versions of model, namely a Gaussian…

无序系统与神经网络 · 物理学 2015-01-13 P. E. Theodorakis , N. G. Fytas

As a result of the interplay between the intrinsic off-diagonal terms of the dipolar interaction and an applied {\it transverse} field $H_t$, the diluted ${\rm LiHo_xY_{1-x}F_4}$ system at x$> 0.5$ is equivalent to a ferromagnet in a…

无序系统与神经网络 · 物理学 2008-01-09 Moshe Schechter

The dipolar-random field Ising model (DRFIM) recently introduced displays a behaviour that can be connected to the magnetization of bidimensional magnetic media. Epitaxial magnetic garnet films seem to be the ideal test material for such a…

无序系统与神经网络 · 物理学 2009-10-31 Alessandro Magni , Gabor Vertesy

The spin-1/2 Ising model on a square lattice, with fluctuating bond interactions between nearest neighbors and in the presence of a random magnetic field, is investigated within the framework of the effective field theory based on the use…

统计力学 · 物理学 2013-04-10 Ioannis A. Hadjiagapiou

In a recent letter, Fytas et al. [Phys. Rev. Lett. 122, 240603 (2019)] study the critical point of the equilibrium random-field Ising model (RFIM) in $D=5$ by means of state-of-art zero-temperature lattice simulations. We show that their…

无序系统与神经网络 · 物理学 2019-10-04 Ivan Balog , Gilles Tarjus , Matthieu Tissier

The S=1/2, nearest-neighbor, kinetic Ising model has been used to model magnetization switching in nanoscale ferromagnets. For this model, earlier work based on the droplet theory of the decay of metastable phases and Monte Carlo…

凝聚态物理 · 物理学 2009-10-28 S. W. Sides , R. A. Ramos , P. A. Rikvold , M. A. Novotny

Here we present a new perspective to the breakdown of ferromagnetic order in two-dimensional spin-lattice models employing the rotation of the underlying lattice. Using an Ising spin system on a square lattice as a prototype, we demonstrate…

统计力学 · 物理学 2021-08-17 Claudio J DaSilva , L. S. Ferreira , A. A. Caparica

Transfer-matrix methods are used to calculate spin-spin correlation functions ($G$), Helmholtz free energies ($f$) and magnetizations ($m$) in the two-dimensional random-field Ising model close to the zero-field bulk critical temperature…

统计力学 · 物理学 2009-11-07 S. L. A. de Queiroz , R. B. Stinchcombe

We modify the kinetic Ising model with Metropolis dynamics, allowing each spin to interact only with $q$ spins randomly chosen from the whole system, which corresponds to the topology of a complete graph. We show that the model with $q \ge…

统计力学 · 物理学 2015-11-11 Arkadiusz Jȩdrzejewski , Anna Chmiel , Katarzyna Sznajd-Weron

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

Using Monte Carlo simulations we study the Ising model with spin S=1/2 and 1 on {\it directed} and {\it undirected} Erd\"os-R\'enyi (ER) random graphs, with $z$ neighbors for each spin. In the case with spin S=1/2, the {\it undirected} and…

无序系统与神经网络 · 物理学 2015-05-30 F. W. S. Lima , M. A. Sumour

We study the Ising model under a time-varying, but spatially homogeneous, Gaussian random magnetic field. In the Monte Carlo simulations, we go beyond the standard analysis of the order parameter by measuring the magnetization probability…

统计力学 · 物理学 2026-03-30 Sara Oliver-Bonafoux , Raul Toral , Amitabha Chakrabarti

Systems with quenched disorder possess complex energy landscapes that are challenging to explore under the conventional Monte Carlo method. In this work, we implement an efficient entropy sampling scheme for accurate computation of the…

无序系统与神经网络 · 物理学 2025-05-08 Yi Liu , Ding Wang , Xin Wang , Dao-Xin Yao , Lei-Han Tang