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We analyze a controversial question about the universality class of the three-dimensional Ising model with long-range-correlated disorder. Whereas both analytical and numerical studies performed so far support an extended Harris criterion…

Disordered Systems and Neural Networks · Physics 2009-11-11 D. Ivaneyko , B. Berche , Yu. Holovatch , J. Ilnytskyi

Extensive simulations are made of link and spin overlaps in four and five dimensional Ising Spin Glasses (ISGs). Moments and moment ratios of the mean link overlap distributions (the variance, the kurtosis and the skewness) show clear…

Disordered Systems and Neural Networks · Physics 2013-05-06 P. H. Lundow , I. A. Campbell

We use a sample-dependent analysis, based on medians and quantiles, to analyze the behavior of the overlap probability distribution of the Sherrington-Kirkpatrick and 3D Edwards-Anderson models of Ising spin glasses. We find that this…

Disordered Systems and Neural Networks · Physics 2014-09-16 A. Billoire , A. Maiorano , E. Marinari , V. Martin-Mayor , D. Yllanes

We present results of Monte Carlo simulations of the three-dimensional Edwards-Anderson Ising spin glass in the presence of a (random) field. A finite-size scaling analysis of the correlation length shows no indication of a transition, in…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. P. Young , Helmut G. Katzgraber

The critical exponents for $T\to0$ of the two-dimensional Ising spin glass model with Gaussian couplings are determined with the help of exact ground states for system sizes up to $L=50$ and by a Monte Carlo study of a pseudo-ferromagnetic…

Condensed Matter · Physics 2009-10-28 H. Rieger , L. Santen , U. Blasum , M. Diehl , M. Jünger

We have studied numerically the dynamics of spin glasses with Ising and XY symmetry (gauge glass) in space dimensions 2, 3, and 4. The nonequilibrium spin-glass susceptibility and the nonequilibrium energy per spin of samples of large size…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , I. A. Campbell

We introduce a universal combination of susceptibility and correlation length in the 3D Ising model, depending both on temperature and external magnetic field. Starting from a parametric representation of the equation of state, we study its…

High Energy Physics - Lattice · Physics 2021-11-29 Michele Caselle , Marianna Sorba

We study the correlation length of the two-dimensional Ising spin glass with a Gaussian distribution of interactions, using an efficient Monte Carlo algorithm proposed by Houdayer, that allows larger sizes and lower temperatures to be…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , L. W. Lee , A. P. Young

In this paper we present a Monte Carlo study of the critical behavior of the easy axis anisotropic Heisenberg spin model in two dimensions. Based on the partial knowledge of the zeros of the energy probability distribution we determine with…

Computational Physics · Physics 2022-07-26 Gabriel Bruno Garcia de Souza , Bismarck Vaz da Costa

We propose a new ensemble for Monte Carlo simulations, in which each state is assigned a statistical weight $1/k$, where $k$ is the number of states with smaller or equal energy. This ensemble has robust ergodicity properties and gives…

Condensed Matter · Physics 2016-08-31 Bobby Hesselbo , R. B. Stinchcombe

We study the behaviour of a universal combination of susceptibility and correlation length in the Ising model in two and three dimensions, in presence of both magnetic and thermal perturbations, in the neighbourhood of the critical point.…

High Energy Physics - Lattice · Physics 2020-07-13 Michele Caselle , Marianna Sorba

We study the $q$-state Potts model on a square lattice with directed nearest-neighbor spin-spin interactions that are inherently non-reciprocal. Both equilibrium and non-equilibrium dynamics are investigated. Analytically, we demonstrate…

Statistical Mechanics · Physics 2024-12-30 Soumya K. Saha , P. K. Mohanty

Equilibrium canonical distribution in statistical mechanics assumes weak system-bath coupling (SBC). In real physical situations this assumption can be invalid and equilibrium quantum statistics of the system may be non-canonical. By…

Quantum Physics · Physics 2013-02-08 Chee Kong Lee , Jianshu Cao , Jiangbin Gong

Curie temperature and exponents are studied for the three-dimensional double-exchange model. Applying the O(N) Monte Carlo algorithm, we perform systematic finite-size scaling analyses on the data up to $20^3$ sites. The obtained values of…

Strongly Correlated Electrons · Physics 2009-11-10 Yukitoshi Motome , Nobuo Furukawa

We perform Monte-Carlo simulations of the three-dimensional Ising model at the critical temperature and zero magnetic field. We simulate the system in a ball with free boundary conditions on the two dimensional spherical boundary. Our…

High Energy Physics - Theory · Physics 2015-09-02 Catarina Cosme , J. M. Viana Parente Lopes , Joao Penedones

In a recent interesting Letter Contucci {\it et al.} have investigated several properties of the three-dimensional (3d) Edwards-Anderson (EA) Ising spin glass. They claim to have found strong numerical evidence for the presence of a complex…

Disordered Systems and Neural Networks · Physics 2008-04-16 Thomas Jorg , Florent Krzakala

In this paper, we theoretically study the critical properties of the classical spin-1 Ising model using two approaches: 1) the analytical low-temperature series expansion and 2) the numerical Metropolis Monte Carlo technique. Within this…

Statistical Mechanics · Physics 2020-07-20 Amir Taheridehkordi , Roberto Zivieri

We investigate by means of Monte Carlo simulations the dynamic phase transition of the two-dimensional kinetic Blume-Capel model under a periodically oscillating magnetic field in the presence of a quenched random crystal-field coupling. We…

Statistical Mechanics · Physics 2021-08-10 Alexandros Vasilopoulos , Zeynep Demir Vatansever , Erol Vatansever , Nikolaos G. Fytas

We perform a Monte Carlo analysis of the Ising model on many three-dimensional lattices. By means of finite-size scaling we obtain the critical points and determine the scaling dimensions. As expected, the critical exponents agree with the…

Statistical Mechanics · Physics 2026-05-26 Xiaofeng Qian , Youjin Deng , Lev N. Shchur , Henk W. J. Blöte

We use large-scale Monte Carlo simulations to test the Weinrib-Halperin criterion that predicts new universality classes in the presence of sufficiently slowly decaying power-law-correlated quenched disorder. While new universality classes…

Disordered Systems and Neural Networks · Physics 2019-11-06 Wenlong Wang , Hannes Meier , Jack Lidmar , Mats Wallin
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