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

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.

arXiv comment6 pages, 5 figures

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• Constraint effective action and critical correlation functions at fixed magnetization
• Constraint correlation functions of the one-dimensional Ising model in the scaling limit
• Dreaming up scale invariance via inverse renormalization group