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Using zero temperature Monte Carlo simulations we have studied the magnetic hysteresis in a three-dimensional Ising model with nearest neighbor exchange and dipolar interaction. The average magnetization of spins located inside a sphere on…

凝聚态物理 · 物理学 2009-10-31 Gyorgy Szabo , Gyorgy Kadar

We study the ferromagnetic random field Ising model (RFIM) on a graph $G=(V,E)$ having maximal degree $\Delta$, where the external field at each vertex is an i.i.d. random variable. When the random field distribution is sufficiently…

概率论 · 数学 2026-05-05 Yi Han

We propose two different macroscopic dynamics to describe the decay of metastable phases in many-particle systems with local interactions. These dynamics depend on the macroscopic order parameter $m$ through the restricted free energy…

凝聚态物理 · 物理学 2016-08-31 J. Lee , M. A. Novotny , P. A. Rikvold

We obtain exact expressions for the minor hysteresis loops in the ferromagnetic random field Ising model on a Bethe lattice at zero temperature in the case when the driving field is cycled infinitely slowly.

无序系统与神经网络 · 物理学 2009-10-31 Prabodh Shukla

We study the zero temperature steady state of the random field Blume Capel model with spin-flip Glauber dynamics on a random regular graph. The magnetization m as a function of the external field H is observed to have double hysteresis…

统计力学 · 物理学 2022-10-13 B. E. Aldrin , Abdul Khaleque , Sumedha

We study the dynamics of macroscopic observables such as the magnetization and the energy per degree of freedom in Ising spin models on random graphs of finite connectivity, with random bonds and/or heterogeneous degree distributions. To do…

无序系统与神经网络 · 物理学 2009-11-11 J. P. L. Hatchett , I. Pérez Castillo , A. C. C. Coolen , N. S. Skantzos

Recently experimental techniques, such as magnetic force microscopy (MFM), have enabled the magnetic state of individual sub-micron particles to be resolved. Motivated by these experimental developments, we use Monte Carlo simulations of…

凝聚态物理 · 物理学 2009-10-28 Howard L. Richards , Scott W. Sides , Mark A. Novotny , Per Arne Rikvold

We analyze the energy terms corresponding to the spin-spin exchange and spin-random field coupling of the zero temperature random-field Ising model on the Bethe lattice driven by an external field with metastable dynamics. Exact results are…

无序系统与神经网络 · 物理学 2009-11-10 Xavier Illa , Jordi Ortin , Eduard Vives

We investigate the stochastic resonance phenomena in the field-driven Ising model on small-world networks. The response of the magnetization to an oscillating magnetic field is examined by means of Monte Carlo dynamic simulations, with the…

无序系统与神经网络 · 物理学 2009-11-07 H. Hong , Beom Jun Kim , M. Y. Choi

We study the critical behavior of the one-dimensional random field Ising model (RFIM) with long-range interactions ($\propto r^{-(d+\sigma)}$) by the nonperturbative functional renormalization group. We find two distinct regimes of critical…

统计力学 · 物理学 2017-10-12 Ivan Balog , Gilles Tarjus , Matthieu Tissier

We develop a recently-proposed mapping of the two-dimensional Ising model with random exchange (RBIM), via the transfer matrix, to a network model for a disordered system of non-interacting fermions. The RBIM transforms in this way to a…

无序系统与神经网络 · 物理学 2011-08-05 F. Merz , J. T. Chalker

The dynamical steady state behaviour of the random field Ising ferromagnet swept by a propagating magnetic field wave is studied at zero temperature by Monte Carlo simulation in two dimensions. The distribution of the random field is…

统计力学 · 物理学 2015-03-13 Muktish Acharyya

We study hysteresis for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in an oscillating field, using Monte Carlo simulations. The period-averaged magnetization is the order parameter for a proposed dynamic phase…

统计力学 · 物理学 2009-10-31 S. W. Sides , P. A. Rikvold , M. A. Novotny

We study the correlated-disorder driven zero-temperature phase transition of the Random-Field Ising Magnet using exact numerical ground-state calculations for cubic lattices. We consider correlations of the quenched disorder decaying…

无序系统与神经网络 · 物理学 2015-05-28 Björn Ahrens , Alexander K. Hartmann

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

We consider the stochastic dynamics of Ising ferromagnets (either pure or random) near zero temperature. The master equation satisfying detailed balance can be mapped onto a quantum Hamiltonian which has an exact zero-energy ground state…

统计力学 · 物理学 2013-02-27 Cecile Monthus , Thomas Garel

The energy landscape for the random-field Ising model (RFIM) is complex, yet algorithms such as the push-relabel algorithm exist for computing the exact ground state of an RFIM sample in time polynomial in the sample volume. Simulations…

无序系统与神经网络 · 物理学 2007-05-23 Jan H. Meinke , A. Alan Middleton

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

We investigate thermodynamic phase transitions of the joint presence of spin glass (SG) and random field (RF) using a random graph model that allows us to deal with the quenched disorder. Therefore, the connectivity becomes a controllable…

无序系统与神经网络 · 物理学 2021-02-24 R. Erichsen , A. Silveira , S. G. Magalhaes

The Ising model in the presence of a random field is investigated within the mean field approximation based on Landau expansion. The random field is drawn from the trimodal probability distribution $P(h_{i})=p \delta(h_{i}-h_{0}) + q \delta…

统计力学 · 物理学 2013-04-26 I. A. Hadjiagapiou