论文标题

三维ISING模型的订单参数分布的高分辨率蒙特卡洛研究

High-resolution Monte Carlo study of the order-parameter distribution of the three-dimensional Ising model

论文作者

Xu, Jiahao, Ferrenberg, Alan M., Landau, David P.

论文摘要

我们应用大量的蒙特卡洛模拟来研究订单参数$ m $的概率分布$ p(m)$ $ p(m)$ $ m $,用于过渡点的周期性边界条件。然后,使用Wolff群集翻转算法进行采样,然后将直方图与有限尺寸的缩放分析一起重新加权,然后在热力学限制下提取磁化概率分布的精确功能形式,以$ p(m)$的概率分布。该形式应作为三维ISING通用类中其他模型的基准。

We apply extensive Monte Carlo simulations to study the probability distribution $P(m)$ of the order parameter $m$ for the simple cubic Ising model with periodic boundary condition at the transition point. Sampling is performed with the Wolff cluster flipping algorithm, and histogram reweighting together with finite-size scaling analyses are then used to extract a precise functional form for the probability distribution of the magnetization, $P(m)$, in the thermodynamic limit. This form should serve as a benchmark for other models in the three-dimensional Ising Universality class.

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