Xu Jiahao, Ferrenberg Alan M, Landau David P
Center for Simulational Physics, University of Georgia, Athens, Georgia 30602, USA.
Department of Computer Science and Software Engineering, Miami University of Ohio, Oxford, Ohio 45056, USA.
Phys Rev E. 2020 Feb;101(2-1):023315. doi: 10.1103/PhysRevE.101.023315.
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.
