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We have studied the Parisi overlap distribution for the three dimensional Ising spin glass in the Migdal-Kadanoff approximation. For temperatures T around 0.7Tc and system sizes upto L=32, we found a P(q) as expected for the full Parisi…

无序系统与神经网络 · 物理学 2009-10-31 M. A. Moore , Hemant Bokil , Barbara Drossel

We study the link overlap between two replicas of an Ising spin glass in three dimensions using the Migdal-Kadanoff approximation and scaling arguments based on the droplet picture. For moderate system sizes, the distribution of the link…

无序系统与神经网络 · 物理学 2009-10-31 Barbara Drossel , Hemant Bokil , M. A. Moore , A. J. Bray

Recently, it has been conjectured that the statistics of extremes is of relevance for a large class of correlated system. For certain probability densities this predicts the characteristic large $x$ fall-off behavior $f(x)\sim\exp (-a…

统计力学 · 物理学 2009-11-07 Bernd A. Berg , Alain Billoire , Wolfhard Janke

We characterize numerically the properties of the phase transition of the three dimensional Ising spin glass with Gaussian couplings and of the low temperature phase. We compute critical exponents on large lattices. We study in detail the…

统计力学 · 物理学 2009-10-31 E. Marinari , G. Parisi , J. J. Ruiz-Lorenzo

Using Monte Carlo simulations (MCS) and the Migdal-Kadanoff approximation (MKA), Marinari et al. study in their comment on our paper the link overlap between two replicas of a three-dimensional Ising spin glass in the presence of a coupling…

无序系统与神经网络 · 物理学 2009-10-31 H. Bokil , A. J. Bray , B. Drossel , M. A. Moore

The question of the number of thermodynamic states present in the low-temperature phase of the three-dimensional Edwards-Anderson Ising spin glass is addressed by studying spin and link overlap distributions using population annealing Monte…

无序系统与神经网络 · 物理学 2017-11-22 Wenlong Wang , Jonathan Machta , Humberto Munoz-Bauza , Helmut G. Katzgraber

Using Monte Carlo simulations, we study in detail the overlap distribution for individual samples for several spin-glass models including the infinite-range Sherrington-Kirkpatrick model, short-range Edwards-Anderson models in three and…

无序系统与神经网络 · 物理学 2014-10-29 Matthew Wittmann , B. Yucesoy , Helmut G. Katzgraber , J. Machta , A. P. Young

We present results from Monte Carlo simulations of the one-dimensional Ising spin glass with power-law interactions at low temperature, using the parallel tempering Monte Carlo method. For a set of parameters where the long-range part of…

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

We report large-scale simulations of the three-dimensional Edwards-Anderson Ising spin glass system using the recently introduced multi-overlap Monte Carlo algorithm. In this approach the temperature is fixed and two replica are coupled…

无序系统与神经网络 · 物理学 2017-09-27 Wolfhard Janke , Bernd A. Berg , Alain Billoire

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…

无序系统与神经网络 · 物理学 2013-05-06 P. H. Lundow , I. A. Campbell

We study the sample-to-sample fluctuations of the overlap probability densities from large-scale equilibrium simulations of the three-dimensional Edwards-Anderson spin glass below the critical temperature. Ultrametricity, Stochastic…

The relative importance of the contributions of droplet excitations and domain walls on the ordering of short-range Edwards-Anderson spin glasses in three and four dimensions is studied. We compare the overlap distributions of periodic and…

无序系统与神经网络 · 物理学 2017-04-05 Wenlong Wang

The non-equilibrium dynamics of the three-dimensional Edwards-Anderson spin-glass model with different bond distributions is investigated by means of Monte Carlo simulation. A numerical method is used to determine the critical temperature…

无序系统与神经网络 · 物理学 2010-12-15 F. Roma

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

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

Extensive simulations are made of the link overlap in five dimensional Ising Spin Glasses (ISGs) through and below the ordering transition. Moments of the mean link overlap distributions (the kurtosis and the skewness) show clear critical…

无序系统与神经网络 · 物理学 2012-10-22 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

We analyse the critical region of finite-($d$)-dimensional Ising spin glass, in particular the limit of $d$ closely above the lower critical dimension $d_\ell$. At criticality the thermally active degrees of freedom are surfaces (of width…

凝聚态物理 · 物理学 2009-10-28 M. J. Thill , H. J. Hilhorst

We study the 3D 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. Using an iterative extrapolation…

无序系统与神经网络 · 物理学 2007-05-23 Matteo Palassini , Sergio Caracciolo

A continuous-time projection quantum Monte Carlo algorithm is employed to simulate the ground state of a short-range quantum spin-glass model, namely, the two-dimensional Edwards-Anderson Hamiltonian with transverse field, featuring…

无序系统与神经网络 · 物理学 2024-12-24 L. Brodoloni , S. Pilati
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