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Related papers: Hysteresis in Anti-Ferromagnetic Random-Field Isin…

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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…

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

The hysteresis loop in the zero-temperature random-field Ising model exhibits a critical point as the width of the disorder increases. Above six dimensions, the critical exponents of this transition, where the "infinite avalanche" first…

Condensed Matter · Physics 2009-10-22 Karin Dahmen , James P. Sethna

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

We study the energy landscape of the soft-spin random field model in the mean-field limit and compute analytically the quenched complexity of the metastable states as a function of their magnetization and energy at a given external magnetic…

Disordered Systems and Neural Networks · Physics 2015-05-13 M. L. Rosinberg , T. Munakata

We consider three mechanisms of hysteresis phenomena in alternating magnetic field: the domain wall motion in a random medium, the nucleation and the retardation of magnetization due to slow (critical) fluctuations. We construct…

Materials Science · Physics 2009-10-31 Igor F. Lyuksyutov , Thomas Nattermann , Valery Pokrovsky

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

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 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

We present numerical simulations of avalanches and critical phenomena associated with hysteresis loops, modeled using the zero-temperature random-field Ising model. We study the transition between smooth hysteresis loops and loops with a…

Disordered Systems and Neural Networks · Physics 2009-10-31 Olga Perkovic , Karin A. Dahmen , James P. Sethna

At low temperatures, the magnetization of the molecular ferric wheel NaFe$_6$ exhibits a step at a critical field $B_c$ due to a field-induced level-crossing. By means of high-field torque magnetometry we observed a hysteretic behavior at…

Strongly Correlated Electrons · Physics 2009-11-07 O. Waldmann , R. Koch , S. Schromm , P. Müller , I. Bernt , R. W. Saalfrank

The properties of antiferromagnetic ferromagnetic bilayer have been studied using self-consistent mean-field approximation for Heisenberg Hamiltonian. The perpendicular exchange coupling has been revealed in a bilayer with a compensated…

Materials Science · Physics 2009-11-11 N. A. Usov , S. A. Gudoshnikov

We study isothermal magnetization processes in the Cu-Al-Mn intermetallic alloy. Hysteresis is observed at temperatures below the spin-freezing of the system. The characteristics of the hysteresis cycles as a function of temperature and Mn…

Materials Science · Physics 2009-10-31 Eduard Obrado , Eduard Vives , Antoni Planes

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 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

Using zero temperature Monte Carlo simulations we have studied the magnetic hysteresis in a three-dimensional Ising model with nearest neighbor exchange and dipolar interaction. The average magnetization of spins located inside a sphere on…

Condensed Matter · Physics 2009-10-31 Gyorgy Szabo , Gyorgy Kadar

We study numerically the zero temperature Random Field Ising Model on cubic lattices of various linear sizes $L$ in three dimensions. For each random field configuration we vary the ferromagnetic coupling strength $J$. We find that in the…

Condensed Matter · Physics 2009-10-30 J. -C. Anglès d'Auriac , N. Sourlas

We use zero-temperature Glauber dynamics to study hysteresis in the random-field Ising model on directed random graphs. The critical behavior of the model depends on the connectivity $z$ of the graph rather differently from that on…

Statistical Mechanics · Physics 2018-10-03 Prabodh Shukla

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

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