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We study universality in three-dimensional Ising spin glasses by large-scale Monte Carlo simulations of the Edwards-Anderson Ising spin glass for several choices of bond distributions, with particular emphasis on Gaussian and bimodal…

无序系统与神经网络 · 物理学 2007-05-23 Helmut G. Katzgraber , Mathias Koerner , A. P. Young

Ising spin glass models with bimodal, Gaussian, uniform and Laplacian interaction distributions in dimension five are studied through detailed numerical simulations. The data are analyzed in both the finite-size scaling regime and the…

无序系统与神经网络 · 物理学 2017-01-18 P. H. Lundow , I. A. Campbell

Equilibrium numerical data on the three dimensional bimodal interaction Ising spin glass up to size L=48 show that corrections to scaling, which are known to be strong, behave in a non-monotonic manner with size. Extrapolation to the…

统计力学 · 物理学 2009-03-31 K. Hukushima , I. A. Campbell

We use finite size scaling to study Ising spin glasses in two spatial dimensions. The issue of universality is addressed by comparing discrete and continuous probability distributions for the quenched random couplings. The sophisticated…

无序系统与神经网络 · 物理学 2016-07-06 L. A. Fernandez , E. Marinari , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

We present a finite size scaling analysis of Monte Carlo simulation results on a four dimensional Ising spin glass. We study chaos with both coupling and temperature perturbations, and find the same chaos exponent in each case. Chaos is…

无序系统与神经网络 · 物理学 2009-10-30 Muriel Ney-Nifle

The critical behavior of the Binder cumulant for Ising spin glasses in dimension four are studied through simulation measurements. Data for the bimodal interaction model are compared with those for the Laplacian interaction model. Special…

无序系统与神经网络 · 物理学 2015-04-22 P. H. Lundow , I. A. Campbell

Monte Carlo data of the two-dimensional Ising spin glass with bimodal interactions are presented with the aim of understanding the low-temperature physics of the model. An analysis of the specific heat, spin-glass susceptibility,…

无序系统与神经网络 · 物理学 2007-05-23 Helmut G. Katzgraber , Lik Wee Lee , I. A. Campbell

Using large-scale Monte Carlo simulations that combine parallel tempering with specialized cluster updates, we show that Ising spin glasses with Levy-distributed interactions share the same universality class as Ising spin glasses with…

无序系统与神经网络 · 物理学 2011-05-17 Juan Carlos Andresen , Katharina Janzen , Helmut G. Katzgraber

We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity $v$ (temperature change versus time) in Monte Carlo…

无序系统与神经网络 · 物理学 2015-08-26 C. -W. Liu , A. Polkovnikov , A. W. Sandvik , A. P. Young

The critical behaviors of the bimodal and Gaussian Ising spin glass (ISG) models in dimension four are studied through extensive numerical simulations, and from an analysis of high temperature series expansion (HTSE) data of Klein {\it et…

无序系统与神经网络 · 物理学 2015-07-09 P. H. Lundow , I. A. Campbell

Following numerous earlier studies, extensive simulations and analyses were made on the continuous interaction distribution Gaussian model and the discrete bimodal interaction distribution Ising Spin Glass (ISG) models in dimension two…

无序系统与神经网络 · 物理学 2017-04-12 P. H. Lundow , I. A. Campbell

We perform Monte Carlo simulations of Ising spin-glass models in three and four dimensions, as well as of Migdal-Kadanoff spin glasses on a hierarchical lattice. Our results show strong evidence for universal scaling in the spin-glass phase…

无序系统与神经网络 · 物理学 2008-11-05 Thomas Jorg , Helmut G. Katzgraber

We study the critical behavior of two-dimensional short-range quantum spin glasses by numerical simulations. Using a parallel tempering algorithm, we calculate the Binder cumulant for the Ising spin glass in a transverse magnetic field with…

统计力学 · 物理学 2016-07-26 D. A. Matoz-Fernandez , F. Roma

Extensive simulations are made on Ising Spin Glasses (ISG) with Gaussian, Laplacian and bimodal interaction distributions in dimension four. Standard finite size scaling analyses near and at criticality provide estimates of the critical…

无序系统与神经网络 · 物理学 2014-08-06 P. H. Lundow , I. A. Campbell

We study the three-dimensional Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined. Monte Carlo data…

无序系统与神经网络 · 物理学 2009-10-31 Matteo Palassini , Sergio Caracciolo

We present results from Monte Carlo simulations to test for ultrametricity and clustering properties in spin-glass models. By using a one-dimensional Ising spin glass with random power-law interactions where the universality class of the…

无序系统与神经网络 · 物理学 2009-01-26 Helmut G. Katzgraber , Alexander K. Hartmann

The p-spin spin-glass model has been studied extensively at mean-field level because of the insights which it provides into the mode-coupling approach to structural glasses and the nature of the glass transition. We demonstrate explicitly…

无序系统与神经网络 · 物理学 2009-11-07 M. A. Moore , Barbara Drossel

We investigate three Ising models on the simple cubic lattice by means of Monte Carlo methods and finite-size scaling. These models are the spin-1/2 Ising model with nearest-neighbor interactions, a spin-1/2 model with nearest-neighbor and…

凝聚态物理 · 物理学 2009-10-28 Henk W. J. Blöte , Erik Luijten , Jouke R. Heringa

We study the three-dimensional (3D) bond-diluted Edwards-Anderson (EA) model with binary interactions at a bond occupation of 45% by Monte Carlo (MC) simulations. Using an efficient cluster MC algorithm we are able to determine the…

无序系统与神经网络 · 物理学 2007-07-04 Thomas Jorg

Continuous phase transitions are catalogued into universality classes, families of systems having identical values of all the exponents governing the critical behaviour of their different physical properties. Numerical simulations have been…

无序系统与神经网络 · 物理学 2007-05-23 P. O. Mari , I. A. Campbell
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