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arXiv · 1512.02488

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

David Lopes Cardozo·Peter C. W. Holdsworth
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Abstract

The magnetization probability density in d=2 and 3 dimensional Ising models in slab geometry of volume $L_{\parallel}^{d-1} \times L_{\perp}$ 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 $\rho=\frac{L_{\perp}}{L_{\parallel}}$ and boundary conditions is discussed. In the limiting case $\rho \to 0$ of a macroscopically large slab ($L_{\parallel} \gg L_{\perp}$) the distribution is found to scale as a Gaussian function for all tested system sizes and boundary conditions.

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David Lopes Cardozo, Peter C. W. Holdsworth. 2015-12-08. Finite-size scaling of the magnetization probability density for the critical Ising model in slab geometry. https://doi.org/10.1088/0953-8984/28/16/166007

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