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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

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

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

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

Among the Renormalization Group Theory scaling rules relating critical exponents, there are hyperscaling rules involving the dimension of the system. It is well known that in Ising models hyperscaling breaks down above the upper critical…

无序系统与神经网络 · 物理学 2018-01-24 P. H. Lundow , I. A. Campbell

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

We perform high-statistics Monte Carlo simulations of three-dimensional Ising spin-glass models on cubic lattices of size L: the +- J (Edwards-Anderson) Ising model for two values of the disorder parameter p, p=0.5 and p=0.7 (up to L=28 and…

无序系统与神经网络 · 物理学 2009-11-13 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

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

The role of the distribution of coupling constants on the critical exponents of the short-range Ising spin-glass model is investigated via real space renormalization group. A saddle-point spin glass critical point characterized by a…

无序系统与神经网络 · 物理学 2015-06-25 E. Nogueira , S. Coutinho , F. D. Nobre , E. M. F. Curado

We study the four-dimensional Ising spin glass with Gaussian and bond-diluted bimodal distributed interactions via large-scale Monte Carlo simulations and show via an extensive finite-size scaling analysis that four-dimensional Ising spin…

无序系统与神经网络 · 物理学 2008-06-20 Thomas Jorg , Helmut G. Katzgraber

Numerical data on scaling of the normalized Binder cumulant and the normalized correlation length are shown for the Thermodynamic limit regime, first for canonical Ising ferromagnet models and then for a range of Ising spin glass models. A…

无序系统与神经网络 · 物理学 2016-07-15 P. H. Lundow , I. A. Campbell

We propose two easy-to-study observables in the quantum Ising chain with open boundary conditions. They measure the length at which boundaries affect the longitudinal or transverse magnetization. We show that their finite-size scaling…

统计力学 · 物理学 2018-10-03 Oskar A. Prośniak

The non-equilibrium ageing behaviour of the 3D and 4D critical Ising spin glass is studied for both binary and gaussian disorder. The same phenomenology of the time-dependent scaling as in non-disordered magnets is found but the…

统计力学 · 物理学 2007-05-23 Malte Henkel , Michel Pleimling

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

We study spin glass behavior in a random Ising Coulomb antiferromagnet in two and three dimensions using Monte Carlo simulations. In two dimensions, we find a transition at zero temperature with critical exponents consistent with those of…

无序系统与神经网络 · 物理学 2016-09-30 J. Rehn , R. Moessner , A. P. Young

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 analyze critical points that can be induced in glassy systems by the presence of constraints. These critical points are predicted by the Mean Field Thermodynamic approach and they are precursors of the standard glass transition in…

统计力学 · 物理学 2014-04-01 Silvio Franz , Giorgio Parisi

Extensive simulations are made on the bimodal Ising Spin Glass (ISG) in dimension four. The transition temperature is established using a combination of standard finite size scaling and of thermodynamic derivative peak data. Measurements in…

无序系统与神经网络 · 物理学 2013-10-15 P. H. Lundow , I. A. Campbell

After having introduced the notion of universality in statistical mechanics and its importance for our comprehension of the macroscopic behavior of interacting systems, I review recent progress in the understanding of the scaling limit of…

数学物理 · 物理学 2021-11-01 Alessandro Giuliani

We present numerical simulations of the 4D Edwards Anderson Ising spin glass with binary couplings. Our results, in the midst of strong finite size effects, suggest the existence of a spin glass phase transition. We present a preliminar…

无序系统与神经网络 · 物理学 2009-10-31 Enzo Marinari , Carla Naitza , Francesco Zuliani
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