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相关论文: An experiment-oriented analysis of 2D spin-glass d…

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Spin glass dynamics is a strong function of spatial dimensionality $D$. The lower critical dimension is close to 2.5, so that, in two dimensions, the condensation temperature $T_\text{g}=0$, and only fluctuations are present at finite…

无序系统与神经网络 · 物理学 2026-04-20 Hongze Li , Raymond L. Orbach , Gregory G. Kenning

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…

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

Interrupted aging in the two-dimensional Ising spin glass model with Gaussian couplings is established and investigated via extensive Monte-Carlo simulations. The spin autocorrelation function scales with $t/\tau(t_w)$, where $t_w$ is the…

凝聚态物理 · 物理学 2015-06-25 H. Rieger B. Steckemetz , M. Schreckenberg

The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost…

The statics-dynamics correspondence in spin glasses relate non-equilibrium results on large samples (the experimental realm) with equilibrium quantities computed on small systems (the typical arena for theoretical computations). Here we…

无序系统与神经网络 · 物理学 2015-05-27 Luis Antonio Fernandez , Victor Martin-Mayor

Motivated by recent experiments of exceptional accuracy, we study numerically the spin-glass dynamics in a film geometry. We cover all the relevant time regimes, from picoseconds to equilibrium, at temperatures at and below the 3D critical…

无序系统与神经网络 · 物理学 2020-02-17 L. A. Fernandez , E. Marinari , V. Martin-Mayor , I. Paga , J. J. Ruiz-Lorenzo

Experiments on spin glasses can now make precise measurements of the exponent $z(T)$ governing the growth of glassy domains, while our computational capabilities allow us to make quantitative predictions for experimental scales. However,…

Results of extensive Monte-Carlo simulations that investigate the out-of-equilibrium dynamics of the one-dimensional Ising spin glass model with a Gaussian bond-distribution are presented. At low enough temperatures a typical (interrupted)…

凝聚态物理 · 物理学 2007-05-23 H. Rieger J. Kisker , M. Schreckenberg

The low temperature dynamics of the two- and three-dimensional Ising spin glass model with Gaussian couplings is investigated via extensive Monte Carlo simulations. We find an algebraic decay of the remanent magnetization. For the…

凝聚态物理 · 物理学 2009-10-28 J. Kisker , L. Santen , M. Schreckenberg , H. Rieger

Using the dedicated computer Janus, we follow the nonequilibrium dynamics of the Ising spin glass in three dimensions for eleven orders of magnitude. The use of integral estimators for the coherence and correlation lengths allows us to…

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

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

We present results of a Monte Carlo study of the equilibrium dynamics of the one dimensional long-range Ising spin glass model. By tuning a parameter $\sigma$, this model interpolates between the mean field Sherrington-Kirkpatrick model and…

无序系统与神经网络 · 物理学 2015-07-31 Alain Billoire

Non-equilibrium dynamics of classical random Ising spin chains are studied using asymptotically exact real space renormalization group. Specifically the random field Ising model with and without an applied field (and the Ising spin glass…

凝聚态物理 · 物理学 2009-10-31 Daniel S. Fisher , Pierre Le Doussal , Cecile Monthus

Using Monte Carlo simulations, we have studied isothermal aging of three-dimensional Ising spin-glass model focusing on quasi-equilibrium behavior of the spin auto-correlation function. Weak violation of the time translational invariance in…

无序系统与神经网络 · 物理学 2009-10-31 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

We numerically study the aging properties of the dynamical heterogeneities in the Ising spin glass. We find that a phase transition takes place during the aging process. Statics-dynamics correspondence implies that systems of finite size in…

Using Monte Carlo simulations, we have studied aging phenomena in three-dimensional Gaussian Ising spin-glass model focusing on quasi-equilibrium behavior of the spin auto-correlation functions. Weak violation of the time translational…

无序系统与神经网络 · 物理学 2015-06-25 H. Takayama , H. Yoshino , T. Komori

We present a comprehensive study of non-equilibrium phenomena in the low temperature phase of the Edwards-Anderson Gaussian spin glass in 3 and 4 spatial dimensions. Many effects can be understood in terms of a time dependent coherence…

统计力学 · 物理学 2009-11-07 Ludovic Berthier , Jean-Philippe Bouchaud

The long-range one-dimensional Ising spin-glass with random couplings decaying as $J(r) \propto r^{-\sigma}$ presents a spin-glass phase $T_c(\sigma)>0$ for $0 \leq \sigma<1$ (the limit $\sigma=0$ corresponds to the mean-field SK-model). We…

无序系统与神经网络 · 物理学 2014-01-15 Cecile Monthus , Thomas Garel

Spin glasses are a longstanding model for the sluggish dynamics that appears at the glass transition. However, spin glasses differ from structural glasses for a crucial feature: they enjoy a time reversal symmetry. This symmetry can be…

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