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Related papers: Hysteresis in Ferromagnetic Random Field Ising Mod…

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The random field Ising model driven by a slowly varying uniform external field at zero temperature provides a caricature of several threshold activated systems. In this model, the non-equilibrium response of the system can be obtained…

Statistical Mechanics · Physics 2009-11-10 Prabodh Shukla

The random-field Ising model of hysteresis is generalized to dilute magnets and solved on a Bethe lattice. Exact expressions for the major and minor hysteresis loops are obtained. In the strongly dilute limit the model provides a simple and…

Disordered Systems and Neural Networks · Physics 2015-06-03 R S Kharwanlang , Prabodh Shukla

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

We apply to the Random Field Ising Model at zero temperature (T= 0) the perturbative loop expansion around the Bethe solution. A comparison with the standard epsilon-expansion is made, highlighting the key differences that make the new…

Disordered Systems and Neural Networks · Physics 2020-02-06 Maria Chiara Angelini , Carlo Lucibello , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

The Random Field Ising Model (RFIM) is the simplest physical model reflecting effect of quenched disorder on the different types of phase transitions in solids. The presence of multiple energy minima in the RFIM is an important feature…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. A. Likhachev

We present a numerical study of the zero-temperature response of the Gaussian random-field Ising model (RFIM) to a slowly varying external field, allowing the system to be trapped in microscopic configurations that are not fully metastable.…

Disordered Systems and Neural Networks · Physics 2009-07-17 F. Salvat-Pujol , E. Vives , M. L. Rosinberg

A brief survey of the theoretical, numerical and experimental studies of the random field Ising model during last three decades is given. Nature of the phase transition in the three-dimensional RFIM with Gaussian random fields is discussed.…

Disordered Systems and Neural Networks · Physics 2009-11-13 Victor Dotsenko

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

We study the hysteretic evolution of the random field Ising model (RFIM) at T=0 when the magnetization M is controlled externally and the magnetic field H becomes the output variable. The dynamics is a simple modification of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Xavier Illa , Martin-Luc Rosinberg , Prabodh Shukla , Eduard Vives

We use spin-lattice dynamics simulations to study the possibility of modeling the magnetic hysteresis behavior of a ferromagnetic material. The temporal evolution of the magnetic and mechanical degrees of freedom is obtained through a set…

Materials Science · Physics 2023-10-18 G. dos Santos , F. Romá , J. Tranchida , S. Castedo , L. F. Cugliandolo , E. M. Bringa

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 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 small systems and weak field amplitudes…

Materials Science · Physics 2009-10-30 S. W. Sides , P. A. Rikvold , M. A. Novotny

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

Heat capacity measurements on the prototypical three-dimensional random-field Ising model compound Fe0.58Zn0.42F2 have been performed in both of the field-cooling (FC) and zero-field-cooling (ZFC) procedures. There is no evidence of…

Materials Science · Physics 2009-10-31 J. Satooka , H. Aruga Katori , A. Tobo , K. Katsumata

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

The hysteresis of the Ising model in a spatially homogeneous AC field is studied using both mean-field calculations and two-dimensional Monte Carlo simulations. The frequency dispersion and the temperature dependence of the hysteresis loop…

Materials Science · Physics 2009-11-10 Han Zhu , Shuai Dong , J. -M. Liu

We study zero-temperature hysteresis in random-field XY and Heisenberg models in the zero-frequency limit of a cyclic driving field. We consider three distributions of the random field and present exact solutions in the mean field limit.…

Disordered Systems and Neural Networks · Physics 2015-05-19 Prabodh Shukla , R S Kharwanlang

We use Glauber dynamics to study frequency and temperature dependence of hysteresis loops in the pure (without quenched disorder) Ising model on cubic, square, honeycomb lattices and random graphs. Results are discussed in the context of…

Statistical Mechanics · Physics 2018-06-27 Prabodh Shukla

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