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

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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

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 present an exact treatment of the hysteresis behavior of the zero-temperature random-field Ising model on a Bethe lattice when it is driven by an external field and evolved according to a 2-spin-flip dynamics. We focus on lattice…

Disordered Systems and Neural Networks · Physics 2009-11-11 Xavier Illa , Martin-Luc Rosinberg , Gilles Tarjus

In order to elucidate the relationship between rate-independent hysteresis and metastability in disordered systems driven by an external field, we study the Gaussian RFIM at T=0 on regular random graphs (Bethe lattice) of finite…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. L. Rosinberg , G. Tarjus , F. J. Perez-Reche

We study the non-equilibrium behavior of the three-dimensional Gaussian random-field Ising model at T=0 in the presence of a uniform external field using a 2-spin-flip dynamics. The deterministic, history-dependent evolution of the system…

Disordered Systems and Neural Networks · Physics 2009-11-10 Eduard Vives , Martin Luc Rosinberg , Gilles Tarjus

The behaviour of the Random Anisotropy Ising model at T=0 under local relaxation dynamics is studied. The model includes a dominant ferromagnetic interaction and assumes an infinite anisotropy at each site along local anisotropy axes which…

Disordered Systems and Neural Networks · Physics 2009-10-31 Eduard Vives , Antoni Planes

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…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. Capeta , D. K. Sunko

We present a simple model that allows hysteresis loops with exchange bias to be reproduced. The model is a modification of the T=0 random field Ising model driven by an external field and with synchronous local relaxation dynamics. The main…

Materials Science · Physics 2009-11-07 Xavier Illa , Eduard Vives , Antoni Planes

We investigate the dissipative loss in the $\pm J$ Ising spin glass in three dimensions through the scaling of the hysteresis area, for a maximum magnetic field that is equal to the saturation field. We perform a systematic analysis for the…

Disordered Systems and Neural Networks · Physics 2016-08-14 Ozan S. Sarıyer , Alkan Kabakcioglu , A. Nihat Berker

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

The random-anisotropy Heisenberg model is numerically studied on lattices containing over ten million spins. The study is focused on hysteresis and metastability due to topological defects, and is relevant to magnetic properties of…

Statistical Mechanics · Physics 2015-12-09 Thomas C. Proctor , Eugene M. Chudnovsky , Dmitry A. Garanin

We study the ferromagnetic random-field Ising model on random graphs of fixed connectivity z (Bethe lattice) in the presence of an external magnetic field $H$. We compute the number of single-spin-flip stable configurations with a given…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. Detcheverry , M. L. Rosinberg , G. Tarjus

Hysteresis is studied for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in an oscillating field, using Monte Carlo simulations and analytical theory. Attention is focused on large systems and strong field…

Statistical Mechanics · Physics 2009-10-31 S. W. Sides , P. A. Rikvold , M. A. Novotny

We consider the zero-temperature single-spin-flip dynamics of the random-field Ising model on a Bethe lattice in the presence of an external field h. We derive the exact self-consistent equations to determine the distribution Prob(s) of…

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

We study hysteresis in anti-ferromagnetic random-field Ising model at zero temperature. The external field is cycled adiabatically between -$\infty$ and $\infty$. Two different distributions of the random-field are considered, (i) a uniform…

Disordered Systems and Neural Networks · Physics 2011-06-27 Lobisor Kurbah , Prabodh Shukla

We briefly introduce hysteresis in spatially extended systems and the dynamic phase transition observed as the frequency of the oscillating field increases beyond a critical value. Hysteresis and the decay of metastable phases are closely…

Statistical Mechanics · Physics 2007-05-23 P. A. Rikvold , G. Korniss , C. J. White , M. A. Novotny , S. W. Sides

In this thesis, we discuss nonequilibrium ferromagnetic random field Ising model (RFIM) with zero temperature Glauber single spin flip dynamics. We briefly review the hysteresis in ferromagnets and Barkhausen effect. We discuss some earlier…

Statistical Mechanics · Physics 2009-09-29 Sanjib Sabhapandit

A simple lattice model that allows hysteresis loops with exchange bias to be reproduced is presented. The model is based on the metastable Random Field Ising model, driven by an external field, with synchronous local relaxation dynamics.…

Materials Science · Physics 2009-11-11 Eduard Vives , Xavier Illa , Antoni Planes

We present exact expressions for hysteresis loops in the ferromagnetic random field Ising model in the limit of zero temperature and zero driving frequency for an arbitrary initial state of the model on a Bethe lattice. This work extends…

Statistical Mechanics · Physics 2007-05-23 Prabodh Shukla , R Kharwanlang

Hysteresis, with rich dynamical behaviors-especially in interacting systems-has drawn broad research interest. Yet its dynamic scalings across time scales lack a unified description, and their transitions remain unclear. Here, we study the…

Statistical Mechanics · Physics 2026-05-19 Miao Chen , Xiu-Hua Zhao , Yu-Han Ma
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