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相关论文: Cluster Monte Carlo algorithms for diluted spin gl…

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A new Monte Carlo algorithm for 2-dimensional spin glasses is presented. The use of clusters makes possible global updates and leads to a gain in speed of several orders of magnitude. As an example, we study the 2-dimensional +/-J…

无序系统与神经网络 · 物理学 2009-11-07 J. Houdayer

In 1986, Swendsen and Wang proposed a replica Monte Carlo algorithm for spin glasses [Phys. Rev. Lett. 57 (1986) 2607]. Two important ingredients are present, (1) the use of a collection of systems (replicas) at different of temperatures,…

统计力学 · 物理学 2009-11-10 Jian-Sheng Wang , Robert H. Swendsen

We study the three-dimensional (3D) bond-diluted Edwards-Anderson (EA) model with binary interactions at a bond occupation of 45% by Monte Carlo (MC) simulations. Using an efficient cluster MC algorithm we are able to determine the…

无序系统与神经网络 · 物理学 2007-07-04 Thomas Jorg

We study the efficiency of parallel tempering Monte Carlo technique for calculating true ground states of the Edwards-Anderson spin glass model. Bimodal and Gaussian bond distributions were considered in two and three-dimensional lattices.…

统计力学 · 物理学 2015-05-13 F. Roma , S. Risau-Gusman , A. J. Ramirez-Pastor , F. Nieto , E. E. Vogel

We report the results of Monte Carlo simulations on several spin glass models at low temperatures. By using the parallel tempering (Exchange Monte Carlo) technique we are able to equilibrate down to low temperatures, for moderate sizes, and…

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

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

Mean field-like approximations (including naive mean field, Bethe and Kikuchi and more general Cluster Variational Methods) are known to stabilize ordered phases at temperatures higher than the thermodynamical transition. For example, in…

无序系统与神经网络 · 物理学 2015-06-22 A. Lage-Castellanos , R. Mulet , F. Ricci-Tersenghi

We propose an efficient Monte Carlo algorithm for simulating a ``hardly-relaxing" system, in which many replicas with different temperatures are simultaneously simulated and a virtual process exchanging configurations of these replica is…

凝聚态物理 · 物理学 2009-10-28 Koji Hukushima , Koji Nemoto

We describe a novel switching algorithm based on a ``reverse'' Monte Carlo method, in which the potential is stochastically modified before the system configuration is moved. This new algorithm facilitates a generalized formulation of…

软凝聚态物质 · 物理学 2009-11-13 C. H. Mak , Arun K. Sharma

Dilute dipolar Ising magnets remain a notoriously hard problem to tackle both analytically and numerically because of long-ranged interactions between spins as well as rare region effects. We study a new type of anisotropic dilute dipolar…

无序系统与神经网络 · 物理学 2019-08-28 Tushar Kanti Bose , Roderich Moessner , Arnab Sen

We present cluster Monte Carlo algorithms for the $XYZ$ quantum spin models. In the special case of $S=1/2$, the new algorithm can be viewed as a cluster algorithm for the 8-vertex model. As an example, we study the $S=1/2$ $XY$ model in…

凝聚态物理 · 物理学 2009-10-28 N. Kawashima

We study the Edwards-Anderson model on a simple cubic lattice with a finite constant external field. We employ an indicator composed of a ratio of susceptibilities at finite wavenumbers, which was recently proposed to avoid the difficulties…

统计力学 · 物理学 2014-03-19 Sheng Feng , Ye Fang , Ka-Ming Tam , Zhifeng Yun , J. Ramanujam , Juana Moreno , Mark Jarrell

We propose and use a novel, hybrid Monte Carlo algorithm that combines configurational bias particle swaps with parallel tempering. We use this new method to simulate a standard model of a glass forming binary mixture above and below the…

软凝聚态物质 · 物理学 2009-11-11 Elijah Flenner , Grzegorz Szamel

We present results of Monte Carlo simulations, using parallel tempering, on the three- and four-dimensional Edwards-Anderson Ising spin glass with Gaussian couplings at low temperatures with free boundary conditions. Our results suggest…

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

We propose a number of Monte Carlo algorithms for the simulation of ice models and compare their efficiency. One of them, a cluster algorithm for the equivalent three colour model, appears to have a dynamic exponent close to zero, making it…

统计力学 · 物理学 2009-10-30 G. T. Barkema , M. E. J. Newman

In this paper I report results for simulations of the three-dimensional gauge glass and the four-dimensional XY spin glass using the parallel tempering Monte Carlo method at low temperatures for moderate sizes. The results are qualitatively…

无序系统与神经网络 · 物理学 2009-11-07 Helmut G. Katzgraber

Suitable cluster definitions have allowed researchers to describe many ordering transitions in spin systems as geometric phenomena related to percolation. For spin glasses and some other systems with quenched disorder, however, such a…

无序系统与神经网络 · 物理学 2023-05-04 Lambert Münster , Martin Weigel

We present results from simulations of the gauge glass model in three dimensions using the parallel tempering Monte Carlo technique. Critical fluctuations should not affect the data since we equilibrate down to low temperatures, for…

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

In this paper we present a dynamical Monte Carlo algorithm which is applicable to systems satisfying a clustering condition: during the dynamical evolution the system is mostly trapped in deep local minima (as happens in glasses, pinning…

凝聚态物理 · 物理学 2009-10-22 Werner Krauth , Olivier Pluchery

It is shown, by means of Monte Carlo simulation and Finite Size Scaling analysis, that the Heisenberg spin glass undergoes a finite-temperature phase transition in three dimensions. There is a single critical temperature, at which both a…

无序系统与神经网络 · 物理学 2009-11-11 I. Campos , M. Cotallo-Aban , V. Martin-Mayor , S. Perez-Gaviro , A. Tarancon
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