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Related papers: Hysteresis in the T=0 RFIM: beyond metastable dyna…

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Hysteresis loops are obtained in the Ising spin-glass phase in d=3, using frustration-conserving hard-spin mean-field theory. The system is driven by a time-dependent random magnetic field H_Q that is conjugate to the spin-glass order Q,…

Disordered Systems and Neural Networks · Physics 2009-11-13 Burcu Yücesoy , A. Nihat Berker

We analyse biased ensembles of trajectories for the random-field Ising model on a fully-connected lattice, which is described exactly by mean-field theory. By coupling the activity of the system to a dynamical biasing field, we find a range…

Statistical Mechanics · Physics 2021-10-27 Jules Guioth , Robert L. Jack

We consider a Glauber dynamics associated with the Ising model on a large two-dimensional box with with minus boundary conditions and in the limit of a vanishing positive external magnetic field. The volume of this box increases…

Probability · Mathematics 2020-05-13 Alexandre Gaudillière , Paolo Milanesi , Maria Eulália Vares

We investigate the replica symmetry broken (RSB) phase of spin glass (SG) models in a random field defined on Bethe lattices at zero temperature. From the properties of the RSB solution we deduce a closed equation for the extreme values of…

Disordered Systems and Neural Networks · Physics 2022-11-11 Gianmarco Perrupato , Maria Chiara Angelini , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

We study hysteresis in the random-field Ising model with an asymmetric distribution of quenched fields, in the limit of low disorder in two and three dimensions. We relate the spin flip process to bootstrap percolation, and show that the…

Statistical Mechanics · Physics 2008-04-10 Sanjib Sabhapandit , Deepak Dhar , Prabodh Shukla

The study of the mean-field static solution of the Random Blume-Emery-Griffiths-Capel model, an Ising-spin lattice gas with quenched random magnetic interaction, is performed. The model exhibits a paramagnetic phase, described by a stable…

Statistical Mechanics · Physics 2009-11-10 Andrea Crisanti , Luca Leuzzi

A model for the study of hysteresis and avalanches in a first-order phase transition from a single variant phase to a multivariant phase is presented. The model is based on a modification of the Random Field Potts model with metastable…

Statistical Mechanics · Physics 2009-11-13 Benedetta Cerruti , Eduard Vives

We study ground states of Ising models with random ferromagnetic couplings, proving the triviality of all zero-temperature metastates. This unexpected result sheds a new light on the properties of these systems, putting strong restrictions…

Mathematical Physics · Physics 2016-02-17 Jan Wehr , Aramian Wasielak

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…

Statistical Mechanics · Physics 2012-07-10 Yusuf Yüksel , Erol Vatansever , Ümit Akıncı , Hamza Polat

A mapping of avalanches occurring in the zero-temperature random-field Ising model (zt-RFIM) to life-periods of a population experiencing immigration is established. Such a mapping allows the microscopic criteria for occurrence of an…

Statistical Mechanics · Physics 2013-06-26 Thomas P Handford , Francisco J Perez-Reche , Sergei N Taraskin

The metastable behavior of a kinetic Ising--like ferromagnetic model system in which a generic type of microscopic disorder induces nonequilibrium steady states is studied by computer simulation and a mean--field approach. We pay attention,…

Statistical Mechanics · Physics 2009-11-10 P. I. Hurtado , J. Marro , P. L. Garrido

At low temperatures, the classical two-dimensional random bond Ising model undergoes a frustration-driven ferromagnet-to-paramagnet transition controlled by a zero-temperature fixed point separating ferromagnet and spin glass phases. We…

Statistical Mechanics · Physics 2026-03-04 Akshat Pandey , Aditya Mahadevan , A. Alan Middleton , Daniel S. Fisher

We study the stochastic relaxation dynamics of the Ising p-spin model on a random graph, a well-known model with glassy dynamics at low temperatures. We introduce and discuss a new closure scheme for the master equation governing the…

Statistical Mechanics · Physics 2024-05-27 David Machado , Roberto Mulet , Federico Ricci-Tersenghi

This paper deals with the stochastic Ising model with a temperature shrinking to zero as time goes to infinity. A generalization of the Glauber dynamics is considered, on the basis of the existence of simultaneous flips of some spins. Such…

Probability · Mathematics 2017-01-20 Roy Cerqueti , Emilio De Santis

With the help of the replica exchange Monte Carlo method and the improved Monte Carlo renormalization-group scheme, we investigate over a wide area in the phase diagram of the Gaussian random field Ising model on the simple cubic lattice.…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Itakura

We investigate the phase structure of the random-field Ising model with a bimodal random field distribution. Our aim is to test for the possibility of an equilibrium spin-glass phase, and for replica symmetry breaking (RSB) within such a…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jairo Sinova , Geoff Canright

Non-equilibrium dynamics of classical random Ising spin chains are studied using asymptotically exact real space renormalization group. Specifically the random field Ising model with and without an applied field (and the Ising spin glass…

Condensed Matter · Physics 2009-10-31 Daniel S. Fisher , Pierre Le Doussal , Cecile Monthus

We investigate the relaxation of homogeneous Ising ferromagnets on finite lattices with zero-temperature spin-flip dynamics. On the square lattice, a frozen two-stripe state is apparently reached approximately 1/4 of the time, while the…

Statistical Mechanics · Physics 2009-10-31 V. Spirin , P. L. Krapivsky , S. Redner

The non-equilibrium phase transition in driven two-dimensional Ising models with two different geometries is investigated using Monte Carlo methods as well as analytical calculations. The models show dissipation through fluctuation induced…

Statistical Mechanics · Physics 2012-05-23 Sebastian Angst , Alfred Hucht , Dietrich E. Wolf

We consider several models with long-range interactions evolving via Hamiltonian dynamics. The microcanonical dynamics of the basic Hamiltonian Mean Field (HMF) model and perturbed HMF models with either global anisotropy or an on-site…

Statistical Mechanics · Physics 2009-11-13 Kavita Jain , Freddy Bouchet , David Mukamel