Probability distribution of the order parameter for the 3D Ising model universality class: a high precision Monte Carlo study

Details Probability distribution of the order parameter for the 3D Ising model universality class: a high precision Monte Carlo study Probability distribution of the order parameter for the 3D Ising model universality class: a high precision Monte Carlo study

1999-09-23

arxiv.org/abs/cond-mat/9909343v1

Phys.Rev. E62 (2000) 73-76

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 Postscript figures, uses RevTeX

Scientific paper

10.1103/PhysRevE.62.73

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).

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