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arXiv 2203.02718cond-mat.stat-mech
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用平扫描采样法精确估计联合态密度

Accurate Estimate of the Joint Density of States via Flat Scan Sampling

J. C. Inácio, A. L. Ferreira, J. S. Amaral

摘要:

本文提出了一种估算Ising和Ising类模型联合态密度g(E,M)的Monte Carlo方法。该方法被应用到著名的二维伊辛模型,并被证明是准确的,高效的,和并行的。所提出的方法提供了对现有方法的重大改进。此外,我们还得到了自旋S = {1/2,1,3/2,2}的伊辛模型的g(E,M)估计,从而表明该算法可以处理更大更复杂的(E,M)相空间.

英文摘要:

A Monte Carlo method to estimate the Joint Density of States g(E,M) of the Ising and Ising-like models is presented. The method is applied to the well-known 2D Ising model, and is shown to be accurate, efficient, and embarrassingly parallel. The method presented offers major improvements over existing approaches. Furthermore, we obtain g(E,M) estimates for the spin S Ising model, with the spin number S = {1/2, 1, 3/2, 2}, thus showing that the algorithm can handle larger and more complex (E, M) phase spaces.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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