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A three-dimensional $\pm J$ XY spin-glass model is investigated by a nonequilibrium relaxation method. We have introduced a new criterion for the finite-time scaling analysis. A transition temperature is obtained by a crossing point of…

无序系统与神经网络 · 物理学 2007-05-23 Takeo Yamamoto , Takeshi Sugashima , Tota Nakamura

Short-time dynamic scaling behavior of the 3D $\pm J$ Ising spin glass is studied by Monte Carlo methods. Starting the replicas with independent initial configurations with a small pseudo magnetization, the dynamic evolution of the overlap…

统计力学 · 物理学 2015-06-25 H. J. Luo , L. Schuelke , B. Zheng

Nonequilibrium dynamics of the $\pm J$ Ising, the {\it XY}, and the Heisenberg spin-glass models are investigated in three dimensions. A nonequilibrium dynamic exponent is calculated from the dynamic correlation length. The spin-glass…

无序系统与神经网络 · 物理学 2007-05-23 Tota Nakamura

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 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

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…

Non-equilibrium dynamics of three dimensional model spin glasses - the Ising system Fe$_{0.50}$Mn$_{0.50}$TiO$_3$ and the Heisenberg like system Ag(11 at% Mn) - has been investigated by measurements of the isothermal time decay of the low…

无序系统与神经网络 · 物理学 2016-08-31 P. E. Jönsson , H. Yoshino , P. Nordblad , H. Aruga Katori , A. Ito

By using frustration-preserving hard-spin mean-field theory, we investigated the phase transition dynamics in the three-dimensional field-free $\pm J$ Ising spin glass model. As the temperature $T$ is decreased from paramagnetic phase at…

统计力学 · 物理学 2021-09-29 Ozan S. Sarıyer

We report the value of the dynamical critical exponent z for the six dimensional Ising spin glass, measured in three different ways: from the behavior of the energy and the susceptibility with the Monte Carlo time and by studying the…

无序系统与神经网络 · 物理学 2009-10-30 Giorgio Parisi , Paola Ranieri , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

The finite-size scaling method in the equilibrium Monte Carlo(MC) simulations and the finite-time scaling method in the nonequilibrium-relaxation simulations are compromised. MC time data of various physical quantities are scaled by the MC…

统计力学 · 物理学 2010-08-02 Tota Nakamura

We study the off-equilibrium dynamics of the three-dimensional Ising spin glass in the presence of an external magnetic field. We have performed simulations both at fixed temperature and with an annealing protocol. Thanks to the Janus…

We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e.…

无序系统与神经网络 · 物理学 2016-02-17 Matthew Wittmann , A. P. Young

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

Large-scale simulations have been performed in the current-driven three-dimensional XY spin glass with resistively-shunted junction dynamics for sample sizes up to $64^3$. It is observed that the linear resistivity at low temperatures tends…

无序系统与神经网络 · 物理学 2015-05-13 Qing-Hu Chen

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

The critical behavior of the gauge-glass and the XY spin-glass models in three dimensions is studied by analyzing their nonequilibrium aging dynamics. A new numerical method, which relies on the calculation of the two-time correlation and…

统计力学 · 物理学 2014-01-22 F. Roma , D. Dominguez

The three-dimensional $\pm J$ Heisenberg spin-glass model is investigated by the non-equilibrium relaxation method from the paramagnetic state. Finite-size effects in the non-equilibrium relaxation are analyzed, and the relaxation functions…

无序系统与神经网络 · 物理学 2009-11-07 Tota Nakamura , Shin-ichi Endoh

We carry out simulated annealing and employ a generalized Kibble-Zurek scaling hypothesis to study the 2D Ising spin glass with normal-distributed couplings. The system has an equilibrium glass transition at temperature $T=0$. From a…

统计力学 · 物理学 2017-11-08 Na Xu , Kai-Hsin Wu , Shanon J. Rubin , Ying-Jer Kao , Anders W. Sandvik

Dynamic scaling analyses are performed in the spin-glass phase of the $\pm J$ Ising, the {\it XY}, and the Heisenberg models in three dimensions. We found a crossover from the critical dynamics to the ground-state dynamics in the Ising…

无序系统与神经网络 · 物理学 2007-05-23 Tota Nakamura

We simulate the critical relaxation process of the two-dimensional Ising model with the initial state both completely disordered or completely ordered. Results of a new method to measure both the dynamic and static critical exponents are…

凝聚态物理 · 物理学 2009-10-28 Z. Li , L. Schülke , B. Zheng
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