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Related papers: Hysteresis in the Random Field Ising Model and Boo…

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We investigate the behavior of the frustrated $J_1$-$J_2$ Ising model on a square lattice under the influence of random dilution and spatial anisotropies. Spinless impurities generate a random-field type disorder for the spin-density wave…

Disordered Systems and Neural Networks · Physics 2022-01-11 Xuecheng Ye , Rajesh Narayanan , Thomas Vojta

We study the nonconserved phase ordering dynamics of the d = 2, 3 random field Ising model, quenched to below the critical temperature. Motivated by the puzzling results of previous work in two and three di- mensions, reporting a crossover…

Disordered Systems and Neural Networks · Physics 2012-02-28 F. Corberi , E. Lippiello , A. Mukherjee , S. Puri , M. Zannetti

In a previous paper we found that in the random field Ising model at zero temperature in three dimensions the correlation length is not self-averaging near the critical point and that the violation of self-averaging is maximal. This is due…

Statistical Mechanics · Physics 2007-05-23 Giorgio Parisi , Marco Picco , Nicolas Sourlas

The nonequilibrium Ising model on a restricted scale-free network has been studied with one- and two-spin flip competing dynamics employing Monte Carlo simulations. The dynamics present in the system can be defined by the probability $q$ in…

Statistical Mechanics · Physics 2023-06-09 R. A. Dumer , M. Godoy

The critical behavior of a quenched random hypercubic sample of linear size $L$ is considered, within the ``random-$T_{c}$'' field-theoretical mode, by using the renormalization group method. A finite-size scaling behavior is established…

Statistical Mechanics · Physics 2009-11-07 H. Chamati , E. Korutcheva , N. S. Tonchev

We study the influence of vacancy concentration on the behaviour of the three dimensional Random Field Ising model with metastable dynamics. We focus our analysis on the number of spanning avalanches which allows for a clean determination…

Disordered Systems and Neural Networks · Physics 2009-11-11 Xavier Illa , Eduard Vives

It has been noticed that the critical current density Jc of some of the superconducting samples, calculated on the basis of Bean model, increases with increasing magnetic field H up to a significant range above H=0. This is an inconsistent…

Superconductivity · Physics 2008-10-29 Ratan Lal

We study experimentally and discuss quantitatively the contact angle hysteresis on striped superhydrophobic surfaces as a function of a solid fraction, $\phi_S$. It is shown that the receding regime is determined by a longitudinal sliding…

Soft Condensed Matter · Physics 2014-10-21 Alexander L. Dubov , Ahmed Mourran , Martin Möller , Olga I. Vinogradova

We investigate and contrast, via the Wang-Landau (WL) algorithm, the effects of quenched bond randomness on the self-averaging properties of two Ising spin models in 2d. The random bond version of the superantiferromagnetic (SAF) square…

Statistical Mechanics · Physics 2008-10-31 N G Fytas , A Malakis

We study the zero temperature random field Ising model as a model for noise and avalanches in hysteretic systems. Tuning the amount of disorder in the system, we find an ordinary critical point with avalanches on all length scales. Using a…

Condensed Matter · Physics 2009-10-28 Karin Dahmen , James P. Sethna

In this paper, we provide a geometric analysis of a new hysteresis model that is based upon singular perturbations. Here hysteresis refers to a type of regularization of piecewise smooth differential equations where the past of a…

Dynamical Systems · Mathematics 2023-10-24 Kristian Uldall Kristiansen

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…

Disordered Systems and Neural Networks · Physics 2009-11-07 F. J. Perez-Reche , Eduard Vives

A Metropolis Monte Carlo simulation is used in this paper to investigate the temperature dependency of the hysteresis loops of a spin-1 bilayer with square monolayers. In this system, the atoms interact ferromagnetically in-plane, with…

Statistical Mechanics · Physics 2022-07-12 Soham Chandra

Heat bath Monte Carlo simulations have been used to study a four-state clock model with a type of random field on simple cubic lattices. The model has the standard nonrandom two-spin exchange term with coupling energy $J$ and a random field…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ronald Fisch

Minor hysteresis loops within the main loop are obtained analytically and exactly in the one-dimensional ferromagnetic random field Ising-model at zero temperature. Numerical simulations of the model show excellent agreement with the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Prabodh Shukla

We consider the one-dimensional random field Ising model, where the spin-spin coupling, $J$, is ferromagnetic and the external field is chosen to be $+h$ with probability $p$ and $-h$ with probability $1-p$. At zero temperature, we…

High Energy Physics - Theory · Physics 2009-10-22 Edward Farhi , Sam Gutmann

We consider the critical and off-critical properties at the boundary of the random transverse-field Ising spin chain when the distribution of the couplings and/or transverse fields, at a distance $l$ from the surface, deviates from its…

Statistical Mechanics · Physics 2016-08-15 Dragi Karevski , Róbert Juhász , Loïc Turban , Ferenc Iglói

We use the two-step density-matrix renormalization group method to study the effects of frustration in Heisenberg models for $S=1/2$ to S=4 in a two-dimensional anisotropic lattice. We find that as in $S=1/2$ studied previously, the system…

Strongly Correlated Electrons · Physics 2009-11-11 S. Moukouri

The fundamental mechanism of hysteresis in the quasistatic limit of multi-stable systems is associated with transitions of the system from one local minimum of the potential energy to another. In this scenario, as system parameters are…

Materials Science · Physics 2023-09-19 Dmitrii Rachinskii , Andrei Zagvozdkin , Oleg Gendelman

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…

Statistical Mechanics · Physics 2022-10-13 B. E. Aldrin , Abdul Khaleque , Sumedha