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arXiv · 2003.00183

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

Jiahao Xu·Alan M. Ferrenberg·David P. Landau
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Abstract

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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Jiahao Xu, Alan M. Ferrenberg, David P. Landau. 2020-02-29. High-resolution Monte Carlo study of the order-parameter distribution of the three-dimensional Ising model. https://doi.org/10.1103/physreve.101.023315

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