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The critical behavior of the disordered ferromagnetic Ising model is studied numerically by the Monte Carlo method in a wide range of variation of concentration of nonmagnetic impurity atoms. The temperature dependences of correlation…

无序系统与神经网络 · 物理学 2007-09-11 V. Prudnikov , P. Prudnikov , A. Vakilov , A. Krinitsyn

Encouraged by experiments on $^4$He in aerogels, we confine planar spins in the pores of simulated aerogels (diffusion limited cluster-cluster aggregation) in order to study the effect of quenched disorder on the critical behavior of the…

统计力学 · 物理学 2009-11-10 Carlos Vásquez-Romero , R. Paredes-Villegas , A. Hasmy , R. Jullien

Large-scale Monte Carlo simulations are used to explore the effect of quenched disorder on one dimensional, non-equilibrium kinetic Ising models with locally broken spin symmetry, at zero temperature (the symmetry is broken through…

统计力学 · 物理学 2013-05-29 Nora Menyhard , Geza Odor

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Ising and XY models with long-range correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic…

无序系统与神经网络 · 物理学 2007-09-10 V. Prudnikov , P. Prudnikov , B. Zheng , S. Dorofeev , V. Kolesnikov

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional weakly site-diluted Ising model with spin concentrations $p=0.95$ and 0.8 at criticality. In contrast to studies of the critical behavior of the…

无序系统与神经网络 · 物理学 2010-05-31 Pavel V. Prudnikov , Vladimir V. Prudnikov , Aleksandr S. Krinitsyn , Andrei N. Vakilov , Evgenii A. Pospelov

We discuss different approaches for studying the influence of disorder in the three-dimensional Ising model. From the theoretical point of view, renormalisation group calculations provide quite accurate results. Experiments carried out on…

统计力学 · 物理学 2007-05-23 Bertrand Berche , Pierre-Emmanuel Berche , Christophe Chatelain , Wolfhard Janke

We study two different versions of the site-diluted Ising model in three dimensions with long-range spatially correlated disorder by Monte Carlo means. We use finite-size scaling techniques to compute the critical exponents of these…

无序系统与神经网络 · 物理学 2009-10-31 H. G. Ballesteros , G. Parisi

The critical relaxation from the low-temperature ordered state of the three-dimensional fully frustrated Ising model on a simple cubic lattice has been studied using the short time dynamics method. Particles with the periodic boundary…

统计力学 · 物理学 2016-11-10 V. A. Mutailamov , A. K. Murtazaev

We consider the Ising model between 2 and 4 dimensions perturbed by quenched disorder in the strength of the interaction between nearby spins. In the interval 2<d<4 this disorder is a relevant perturbation that drives the system to a new…

高能物理 - 理论 · 物理学 2019-10-08 Zohar Komargodski , David Simmons-Duffin

We perform a high-statistics simulation of the three-dimensional randomly dilute Ising model on cubic lattices $L^3$ with $L\le 256$. We choose a particular value of the density, x=0.8, for which the leading scaling corrections are…

统计力学 · 物理学 2009-11-10 P. Calabrese , V. Martin-Mayor , A. Pelissetto , E. Vicari

Extensive Monte Carlo simulations in the semi-grand-canonical ensemble are used to study the critical behavior of a three-dimensional compressible Ising model with antiferromagnetic interactions under constant volume conditions. Elastic…

统计力学 · 物理学 2009-11-10 Luigi Cannavacciuolo , D. P. Landau

Usually, the impact of structural disorder on the magnetic phase transition in the 3D Ising model is analyzed within the framework of quenched dilution by a non-magnetic component, where some lattice sites are occupied by Ising spins, while…

无序系统与神经网络 · 物理学 2025-03-04 J. J. Ruiz-Lorenzo , M. Dudka , M. Krasnytska , Yu. Holovatch

We study the critical behavior of the Ising model in three dimensions on a lattice with site disorder by using Monte Carlo simulations. The disorder is either uncorrelated or long-range correlated with correlation function that decays…

统计力学 · 物理学 2020-11-25 Stanislav Kazmin , Wolfhard Janke

We present results of large-scale Monte Carlo simulations for a three-dimensional Ising model with short range interactions and planar defects, i.e., disorder perfectly correlated in two dimensions. We show that the phase transition in this…

无序系统与神经网络 · 物理学 2009-11-10 Rastko Sknepnek , Thomas Vojta

We study by Monte Carlo simulations the influence of bond dilution on the three-dimensional Ising model. This paradigmatic model in its pure version displays a second-order phase transition with a positive specific heat critical exponent…

无序系统与神经网络 · 物理学 2009-11-10 Pierre-Emmanuel Berche , Christophe Chatelain , Bertrand Berche , Wolfhard Janke

We review some results on the effect of a specific type of quenched disorder on well known O(m)-vector models in three dimension. Evidences of changes of criticality in both systems, when confined in aerogel pores, are briefly referenced.…

无序系统与神经网络 · 物理学 2007-05-23 Carlos Vasquez , Ricardo Paredes

We consider the Ising model on the square lattice with biaxially correlated random ferromagnetic couplings, the critical point of which is fixed by self-duality. The disorder represents a relevant perturbation according to the extended…

统计力学 · 物理学 2007-05-23 F. A. Bagamery , L. Turban , F. Igloi

Experiments and computer simulation studies have revealed existence of rich dynamics in the orientational relaxation of molecules in confined systems such as water in reverse micelles, cyclodextrin cavities and nano-tubes. Here we introduce…

统计力学 · 物理学 2015-05-18 Rajib Biswas , Biman Bagchi

We investigate by Monte Carlo simulations the critical properties of the three-dimensional bond-diluted Ising model. The phase diagram is determined by locating the maxima of the magnetic susceptibility and is compared to mean-field and…

统计力学 · 物理学 2010-07-13 P. E. Berche , C. Chatelain , B. Berche , W. Janke

We analyze the critical properties of the three-dimensional Ising model with linear parallel extended defects. Such a form of disorder produces two distinct correlation lengths, a parallel correlation length $\xi_\parallel$ in the direction…

统计力学 · 物理学 2015-10-14 Oleg Vasilyev , Bertrand Berche , Maxym Dudka , Yurij Holovatch
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