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We study chaos in a two dimensional Ising spin glass by finite temperature Monte Carlo simulations. We are able to detect chaos with respect to temperature changes as well as chaos with respect to changing the bonds, and find that the chaos…

凝聚态物理 · 物理学 2009-10-30 Muriel Ney-Nifle , A. Peter Young

We study temperature chaos in a two-dimensional Ising spin glass with random quenched bimodal couplings, by an exact computation of the partition functions on large systems. We study two temperature correlators from the total free energy…

无序系统与神经网络 · 物理学 2009-11-11 Jovanka Lukic , Enzo Marinari , Olivier C. Martin , Silvia Sabatini

We study the effects of small temperature as well as disorder perturbations on the equilibrium state of three-dimensional Ising spin glasses via an alternate scaling ansatz. By using Monte Carlo simulations, we show that temperature and…

无序系统与神经网络 · 物理学 2007-05-23 Helmut G. Katzgraber , Florent Krzakala

We approximate a 2D Ising spin glass by tiling an infinite square lattice with large identical unit cells. The interactions within the unit cell are random. Each such sample shows one or more critical points. We examine the scaling of the…

无序系统与神经网络 · 物理学 2009-10-30 David A Huse , Lee-Fen Ko

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

Recently extended precise numerical methods and droplet scaling arguments allow for a coherent picture of the glassy states of two-dimensional Ising spin glasses to be assembled. The length scale at which entropy becomes important and…

无序系统与神经网络 · 物理学 2015-05-20 Creighton K. Thomas , David A. Huse , A. Alan Middleton

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

Spin glasses have competing interactions that lead to a rough energy landscape which is highly susceptible to small perturbations. These chaotic effects strongly affect numerical simulations and, as such, gaining a deeper understanding of…

无序系统与神经网络 · 物理学 2016-06-14 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

The nature of static chaos in Ising spin glasses is studied. For the problem of chaos with magnetic field, scaling relations in the case of the SK model and short-range models are presented. Our results also suggest that if there is de…

凝聚态物理 · 物理学 2007-05-23 Felix Ritort

We study the fragility of spin glasses to small temperature perturbations numerically using population annealing Monte Carlo. We apply thermal boundary conditions to a three-dimensional Edwards-Anderson Ising spin glass. In thermal boundary…

无序系统与神经网络 · 物理学 2015-09-10 Wenlong Wang , Jon Machta , 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

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

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

By quenched-randomly mixing local units of different spatial dimensionalities, we have studied Ising spin-glass systems on hierarchical lattices continuously in dimensionalities 1 =< d =< 3. The global phase diagram in temperature,…

统计力学 · 物理学 2018-10-24 Bora Atalay , A. Nihat Berker

Ordering of the Heisenberg spin glass with the nearest-neighbor Gaussian coupling is investigated by equilibrium Monte Carlo simulations in four and five dimensions. Ordering of the mean-field Heisenberg spin-glass is also studied for…

无序系统与神经网络 · 物理学 2009-11-07 Daisuke Imagawa , Hikaru Kawamura

We have introduced a variational method to improve the computation of integrated correlation times in the Parallel Tempering Dynamics, obtaining a better estimate (a lower bound, at least) of the exponential correlation time. Using this…

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 have argued in recent papers that Monte Carlo results for the equilibrium properties of the Edwards-Anderson spin glass in three dimensions, which had been interpreted earlier as providing evidence for replica symmetry breaking, can be…

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

We study the field cooled magnetization of a CuMn spin glass under temperature perturbations. The $T$-cycling curves are compared with the reference curve without temperature cycling. There is a crossover from the cumulative aging region to…

无序系统与神经网络 · 物理学 2024-02-20 Qiang Zhai , Raymond L. Orbach , Deborah Schlagel

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
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