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The magnetic order-disorder layering transitions of a spin-1 Ising model are investigated, under the effect of a variable surface crystal field $\Delta_{s}$, using the mean field theory. Each layer $k$, of the film formed with $N$ layers,…

软凝聚态物质 · 物理学 2009-11-07 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

统计力学 · 物理学 2008-02-03 T. Nattermann

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…

无序系统与神经网络 · 物理学 2009-11-10 Eduard Vives , Martin Luc Rosinberg , Gilles Tarjus

We study numerically the nonequilibrium dynamical behavior of an Ising model with mixed two-spin and four-spin interactions after a sudden quench from the high-temperature phase to the first-order phase transition point. The autocorrelation…

统计力学 · 物理学 2009-11-13 Michel Pleimling , Ferenc Igloi

The random disorder can drastically change the melting scenario of two-dimensional systems and has to be taken into account in the interpretation of the experimental results. We present the results of the molecular dynamics simulations of…

软凝聚态物质 · 物理学 2016-08-19 E. N. Tsiok , Yu. D. Fomin , V. N. Ryzhov

A hybrid Potts model where a random concentration $p$ of the spins assume $q_0$ states and a random concentration $1-p$ of the spins assume $q>q_0$ states is introduced. It is known that when the system is homogeneous, with an integer spin…

统计力学 · 物理学 2022-05-03 Nir Schreiber , Reuven Cohen , Gideon Amir , Simi Haber

An eight-potential-well order-disorder ferroelectric model was presented and the phase transition was studied under the mean-field approximation. It was shown that the two-body interactions are able to account for the first-order and the…

材料科学 · 物理学 2009-10-31 Zhi-Rong Liu , Bing-Lin Gu , Xiao-Wen Zhang

This paper deals with fully-connected mean-field models of quantum spins with p-body ferromagnetic interactions and a transverse field. For p=2 this corresponds to the quantum Curie-Weiss model (a special case of the Lipkin-Meshkov-Glick…

统计力学 · 物理学 2012-07-26 Victor Bapst , Guilhem Semerjian

We determine the arrangement of spins in the ground state of the XY model with quenched, random fields, on a fully connected graph. Two types of disordered fields are considered, namely randomly oriented magnetic fields, and randomly…

统计力学 · 物理学 2024-04-01 Rajiv G Pereira , Ananya Janardhanan , Mustansir Barma

We investigate the behavior of the frustrated $J_1$-$J_2$ Ising model on a square lattice under the influence of random dilution and spatial anisotropies. Spinless impurities generate a random-field type disorder for the spin-density wave…

无序系统与神经网络 · 物理学 2022-01-11 Xuecheng Ye , Rajesh Narayanan , Thomas Vojta

We calculate the ground state and simulate the dynamics of a finite chain of spins with Ising nearest-neighbor interactions and a Dicke collective spin interaction with a single mode cavity field. We recover the signatures of first and…

量子物理 · 物理学 2012-05-29 Søren Gammelmark , Klaus Mølmer

Spin-crossover compounds, which are characterized by magnetic ions showing low-spin and high-spin states at thermally accessible energies, are ubiquitous in nature. We here focus on the effect of an exchange interaction on the collective…

统计力学 · 物理学 2009-11-13 Carsten Timm , Charles J. Pye

Using a Wang-Landau entropic sampling scheme, we investigate the effects of quenched bond randomness on a particular case of a triangular Ising model with nearest- ($J_{nn}$) and next-nearest-neighbor ($J_{nnn}$) antiferromagnetic…

统计力学 · 物理学 2009-10-28 N. G. Fytas , A. Malakis

We investigate the depinning transition for driven interfaces in the random-field Ising model for various dimensions. We consider the order parameter as a function of the control parameter (driving field) and examine the effect of thermal…

统计力学 · 物理学 2009-11-07 L. Roters , S. Lubeck , K. D. Usadel

We consider non-equilibrium phenomena in a very simple model that displays a zero-temperature first-order phase transition. The quantum Ising model with a four-spin exchange is adopted as a general representative of first-order quantum…

强关联电子 · 物理学 2016-03-30 Lorenzo Del Re , Michele Fabrizio , Erio Tosatti

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

高能物理 - 格点 · 物理学 2019-06-05 Heiko Rieger , A. P. Young

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

凝聚态物理 · 物理学 2009-10-22 Heiko Rieger , A. P. Young

We analyse the effect of quenched uncorrelated randomness coupling to the local energy density of a model consisting of N coupled two-dimensional Ising models. For N>2 the pure model exhibits a fluctuation-driven first order transition,…

凝聚态物理 · 物理学 2016-08-31 John Cardy

We present analytical results for the strongly anisotropic random field Ising model, consisting of weakly interacting spin chains. We combine the mean-field treatment of interchain interactions with an analytical calculation of the average…

统计力学 · 物理学 2009-10-31 Marc Thilo Figge , Maxim V. Mostovoy , Jasper Knoester

The Random-Field Ising Model (RFIM) has been extensively studied as a model system for understanding the effects of disorder in magnets. Since the late 1970s, there has been a particular focus on realizations of the RFIM in site-diluted…

无序系统与神经网络 · 物理学 2008-01-16 D. M. Silevitch , D. Bitko , J. Brooke , S. Ghosh , G. Aeppli , T. F. Rosenbaum