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Shape Effects of Finite-Size Scaling Functions for Anisotropic Three-Dimensional Ising Models

Kazuhisa Kaneda·Yutaka Okabe·Macoto Kikuchi
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Abstract

The finite-size scaling functions for anisotropic three-dimensional Ising models of size $L_1 \times L_1 \times aL_1$ ($a$: anisotropy parameter) are studied by Monte Carlo simulations. We study the $a$ dependence of finite-size scaling functions of the Binder parameter $g$ and the magnetization distribution function $p(m)$. We have shown that the finite-size scaling functions for $p(m)$ at the critical temperature change from a two-peak structure to a single-peak one by increasing or decreasing $a$ from 1. We also study the finite-size scaling near the critical temperature of the layered square-lattice Ising model, when the systems have a large two-dimensional anisotropy. We have found the three-dimensional and two-dimensional finite-size scaling behavior depending on the parameter which is fixed; a unified view of 3D and 2D finite-size scaling behavior has been obtained for the anisotropic 3D Ising models.

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Kazuhisa Kaneda, Yutaka Okabe, Macoto Kikuchi. 1999-09-17. Shape Effects of Finite-Size Scaling Functions for Anisotropic Three-Dimensional Ising Models. https://doi.org/10.1088/0305-4470%2F32%2F42%2F303

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