Three-dimensional Ising model in the fixed-magnetization ensemble: a Monte Carlo study

Details Three-dimensional Ising model in the fixed-magnetization ensemble: a Monte Carlo study Three-dimensional Ising model in the fixed-magnetization ensemble: a Monte Carlo study

1999-10-10

arxiv.org/abs/cond-mat/9910145v1

Phys.Rev. E62 (2000) 77-82

Physics

Condensed Matter

Statistical Mechanics

8 pages, 2 Postscript figures, uses RevTeX

Scientific paper

10.1103/PhysRevE.62.77

We study the three-dimensional Ising model at the critical point in the fixed-magnetization ensemble, by means of the recently developed geometric cluster Monte Carlo algorithm. We define a magnetic-field-like quantity in terms of microscopic spin-up and spin-down probabilities in a given configuration of neighbors. In the thermodynamic limit, the relation between this field and the magnetization reduces to the canonical relation M(h). However, for finite systems, the relation is different. We establish a close connection between this relation and the probability distribution of the magnetization of a finite-size system in the canonical ensemble.

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