论文标题

通过扁平扫描采样的准确估计状态的关节密度

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

论文作者

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

论文摘要

提出了一种估计伊辛和伊辛样模型状态g(e,m)的关节密度的蒙特卡洛方法。该方法应用于众所周知的2D ISING模型,并被证明是准确,有效且令人尴尬的平行。提出的方法对现有方法进行了重大改进。此外,我们获得了旋转s iSing模型的g(e,m)估计值,旋转数s = {1/2、1、3/2、2},因此表明该算法可以处理更大,更复杂的(E,M)相位。

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.

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