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Finite-size scaling of the magnetization probability density for the critical Ising model in slab geometry
David Lopes Cardozo1, Peter C W Holdsworth1
1Laboratoire de Physique, École Normale Supérieure de Lyon, Université de Lyon, UMR CNRS 5672, 46 Allée d'Italie, 69364 Lyon Cedex 07, France.
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.
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