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We present numerical simulations of the random field Ising model in three dimensions at zero temperature. The critical exponents are found to agree with previous results. We study the magnetic susceptibility by applying a small magnetic…

Disordered Systems and Neural Networks · Physics 2014-03-21 Marco Picco , Nicolas Sourlas

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…

We numerically study the one-dimensional long-range Transverse Field Ising Model (TFIM) in the antiferromagnetic (AFM) regime at zero temperature using Generalized Hartree-Fock (GHF) theory. The spin-spin interaction extends to all spins in…

Quantum Physics · Physics 2023-05-10 Michael P. Kaicher , Davide Vodola , Simon B. Jäger

We theoretically investigate the spatial dependence of the order parameter of the two-dimensional semi-infinite Ising model with a free surface at or above the bulk critical temperature. Special attention is paid to the influence of a…

Condensed Matter · Physics 2015-06-25 P. Czerner , U. Ritschel

Ising model with quenched random magnetic fields is examined for single Gaussian, bimodal and double Gaussian random field distributions by introducing an effective field approximation that takes into account the correlations between…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı , Yusuf Yüksel , Hamza Polat

We present a formalism for computing the complexity of metastable states and the zero-temperature magnetic hysteresis loop in the soft-spin random-field model in finite dimensions. The complexity is obtained as the Legendre transform of the…

Disordered Systems and Neural Networks · Physics 2015-05-20 M. L. Rosinberg , G. Tarjus

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

Statistical Mechanics · Physics 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

The one-dimensional Ising model in an external magnetic field with uniform long-range interactions and random short-range interactions satisfying bimodal annealed distributions is studied. This generalizes the random model discussed by…

Statistical Mechanics · Physics 2009-10-31 A. P. Vieira , L. L. Goncalves

We analyse hysteresis in a one-dimensional anti-ferromagnetic random field Ising model at zero-temperature. The random field is taken to have a rectangular distribution of width $2 \Delta$ centered about the origin. A uniform applied field…

Condensed Matter · Physics 2009-10-31 Prabodh Shukla , Ratnadeep Roy , Emilia Ray

Domain walls and droplet-like excitation of the random-field Ising magnet are studied in d={3,4,5,6,7} dimensions by means of exact numerical ground-state calculations. They are obtained using the established mapping to the…

Disordered Systems and Neural Networks · Physics 2015-06-03 Bjoern Ahrens , Alexander K. Hartmann

We present a large deviations theory of the spin-spin correlation functions in the Random Field Ising Model on the Bethe lattice, both at finite and zero temperature. Rare events of atypically correlated variables are particularly important…

Disordered Systems and Neural Networks · Physics 2014-07-02 Flaviano Morone , Giorgio Parisi , Federico Ricci-Tersenghi

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

We study the equilibrium and dynamic phase transition properties of two-dimensional Ising model on a decorated triangular lattice under the influence of a time-dependent magnetic field composed of a periodic square wave part plus a time…

Statistical Mechanics · Physics 2023-07-25 Yusuf Yüksel

Using $\phi^4$ field theory and Monte Carlo (MC) simulation we investigate the finite-size effects of the magnetization $M$ for the three-dimensional Ising model in a finite cubic geometry with periodic boundary conditions. The field theory…

Statistical Mechanics · Physics 2009-10-31 X. S. Chen , V. Dohm , D. Stauffer

We study the magnetic hysteresis in the random field Ising model in 3D. We discuss the disorder dependence of the coercive field H_c, and obtain an analytical description of the smooth part of the hysteresis below and above H_c, by…

Disordered Systems and Neural Networks · Physics 2009-11-11 Markus Mueller , Alessandro Silva

The entropic sampling dynamics based on the reversible information transfer to and from the environment is applied to the globally coupled Ising model in the presence of an oscillating magnetic field. When the driving frequency is low…

Statistical Mechanics · Physics 2007-05-23 Beom Jun Kim , M. Y. Choi

The magnetization dynamics of the triangular lattice of Ising spin chains is investigated in the framework of a two-dimensional model. The rigid chains are assumed to interact with the nearest neighboring chains, an external magnetic field,…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. B. Kudasov , A. S. Korshunov , V. N. Pavlov , D. A. Maslov

We provide an overview of studies of hysteresis in models of magnets. We discuss the shape of the hysteresis loop, dynamical symmetry breaking, and the dependence of the area of the loop on the amplitude and frequency of the driving field.…

Statistical Mechanics · Physics 2025-11-06 Deepak Dhar , Sanjib Sabhapandit

The nature of the zero temperature ordering transition in the 3D Gaussian random field Ising magnet is studied numerically, aided by scaling analyses. In the ferromagnetic phase the scaling of the roughness of the domain walls, $w\sim…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Alan Middleton , Daniel S. Fisher

The phase diagram of the random field Ising model on the Bethe lattice with a symmetric dichotomous random field is closely investigated with respect to the transition between the ferromagnetic and paramagnetic regime. Refining arguments of…

Disordered Systems and Neural Networks · Physics 2009-11-07 Thomas Nowotny , Heiko Patzlaff , Ulrich Behn
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