arXiv:1512.02488 · Journal of Physics Condensed Matter

Finite-size scaling of the magnetization probability density for the critical Ising model in slab geometry

David Lopes Cardozo, P. C. W. Holdsworth

Published Mar 29, 2016• 4 citations

Abstract

The magnetization probability density in d = 2 and 3 dimensional Ising models in slab geometry of volume [Formula: see text] is computed through Monte-Carlo simulation at the critical temperature and zero magnetic field. The finite-size scaling of this distribution and its dependence on the system aspect-ratio [Formula: see text]and boundary conditions are discussed. In the limiting case [Formula: see text] of a macroscopically large slab ([Formula: see text]) the distribution is found to scale as a Gaussian function for all tested system sizes and boundary conditions.

DOI: 10.1088/0953-8984/28/16/166007

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