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

preprint2020arXivOpen access

Abstract

We apply extensive Monte Carlo simulations to study the probability distribution P(m)P(m) of the order parameter mm 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)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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