title: Probability distribution of the order parameter for the three-dimensional ising-model universality class: A high-precision monte carlo study
abstract: We study the probability distribution P(M) of the order parameter (average magnetization) M, for the finite-size systems at the critical point. The systems under consideration are the 3-dimensional Ising model on a simple cubic lattice, and its 3-state generalization known to have remarkably small corrections to scaling. Both models are studied in a cubic box with periodic boundary conditions. The model with reduced corrections to scaling makes it possible to determine P(M) with unprecedented precision. We also obtain a simple, but remarkably accurate, approximate formula describing the universal shape of P(M).
authors.affiliation: Department of Theoretical Physics, Lebedev Physical Institute, 117924 Moscow, Russia.
authors.initials: MM
authors.lastname: Tsypin
authors.initials: HW
authors.lastname: Blote