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We investigate the replica symmetry broken (RSB) phase of spin glass (SG) models in a random field defined on Bethe lattices at zero temperature. From the properties of the RSB solution we deduce a closed equation for the extreme values of…

无序系统与神经网络 · 物理学 2022-11-11 Gianmarco Perrupato , Maria Chiara Angelini , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This…

统计力学 · 物理学 2015-05-18 Nuno Crokidakis

We study hysteresis in the random-field Ising model with an asymmetric distribution of quenched fields, in the limit of low disorder in two and three dimensions. We relate the spin flip process to bootstrap percolation, and show that the…

统计力学 · 物理学 2008-04-10 Sanjib Sabhapandit , Deepak Dhar , Prabodh Shukla

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…

统计力学 · 物理学 2023-06-09 R. A. Dumer , M. Godoy

Experimental, analytical, and numerical results suggest that the mechanism by which a uniaxial single-domain ferromagnet switches after sudden field reversal depends on the field magnitude and the system size. Here we report new results on…

凝聚态物理 · 物理学 2009-10-28 S. W. Sides , R. A. Ramos , P. A. Rikvold , M. A. Novotny

The random field Ising model (RFIM) is central to the study of disordered systems. Yet, for a long time it eluded realization in ferromagnetic systems because of the difficulty to produce locally random magnetic fields. Recently it was…

无序系统与神经网络 · 物理学 2014-02-19 Yoav G. Pollack , Moshe Schechter

We have defined pinning fields as those random fields that keep some of the magnetic moments unreversed in the region of negative external applied field during the demagnetizing process. An analysis of the statistical properties of such…

无序系统与神经网络 · 物理学 2009-11-11 Xavier Illa , Eduard Vives

Developing a unified theory describing both ductile and brittle yielding constitutes a fundamental challenge of non-equilibrium statistical physics. Recently, it has been proposed that the nature of the yielding transition is controlled by…

软凝聚态物质 · 物理学 2024-11-22 Jack T. Parley , Peter Sollich

Dynamical hysteresis is a phenomenon which arises in ferromagnetic systems below the critical temperature as a response to adiabatic variations of the external magnetic field. We study the problem in the context of the mean-field Ising…

概率论 · 数学 2013-12-03 Gioia Carinci

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,…

无序系统与神经网络 · 物理学 2009-11-13 Burcu Yücesoy , A. Nihat Berker

We analyze the depinning transition of a driven interface in the 3d random-field Ising model (RFIM) with quenched disorder by means of Monte Carlo simulations. The interface initially built into the system is perpendicular to the…

统计力学 · 物理学 2009-10-31 L. Roters , A. Hucht , S. Lubeck , U. Nowak , K. D. Usadel

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…

材料科学 · 物理学 2009-10-30 S. W. Sides , P. A. Rikvold , M. A. Novotny

The random field Ising model in three dimensions with Gaussian random fields is studied at zero temperature for system sizes up to 60^3. For each realization of the normalized random fields, the strength of the random field, Delta and a…

统计力学 · 物理学 2009-11-07 Ilija Dukovski , Jon Machta

We study a quasi-statically driven random field Ising model (RFIM) at zero temperature with interactions mediated by the long-range anisotropic Eshelby kernel. Analogously to amorphous solids at their yielding transition, and differently…

无序系统与神经网络 · 物理学 2023-12-20 Saverio Rossi , Giulio Biroli , Misaki Ozawa , Gilles Tarjus

In this work, we employed Monte Carlo simulations to study the Ising, $XY$, and Heisenberg models on a simple cubic lattice, where the system models evolve toward the steady state under the influence of competition between one- and two-spin…

统计力学 · 物理学 2024-12-23 R. A. Dumer , M. Godoy

The Ising model in the presence of a random field, drawn from the asymmetric and anisotropic trimodal probability distribution $P(h_{i})=p\; \delta(h_{i}-h_{0}) + q \delta (h_{i}+ \lambda *h_{0}) + r \delta (h_{i})$, is investigated. The…

统计力学 · 物理学 2013-04-10 Ioannis A. Hadjiagapiou

The effects of locally random magnetic fields are considered in a nonequilibrium Ising model defined on a square lattice with nearest-neighbors interactions. In order to generate the random magnetic fields, we have considered random…

统计力学 · 物理学 2009-11-13 N. Crokidakis

We study the Glauber dynamics of Ising spin models with random bonds, on finitely connected random graphs. We generalize a recent dynamical replica theory with which to predict the evolution of the joint spin-field distribution, to include…

无序系统与神经网络 · 物理学 2015-05-13 A. Mozeika , A. C. C. Coolen

A one dimensional kinetic Ising model at a finite temperature on a semi-infinite lattice with time varying boundary spins is considered. Exact expressions for the expectation values of the spin at each site are obtained, in terms of the…

统计力学 · 物理学 2012-02-06 Amir Aghamohammadi , Cina Aghamohammadi , Mohammad Khorrami

The spontaneous magnetization is proved to vanish continuously at the critical temperature for a class of ferromagnetic Ising spin systems which includes the nearest neighbor ferromagnetic Ising spin model on $\mathbb Z^d$ in $d=3$…

数学物理 · 物理学 2017-09-20 Michael Aizenman , Hugo Duminil-Copin , Vladas Sidoravicius