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Shape Effects of Finite-Size Scaling Functions for Anisotropic Three-Dimensional Ising Models | | Kazuhisa Kaneda
; Yutaka Okabe
; Macoto Kikuchi
; | | Date: |
17 Sep 1999 | | Journal: | J. Phys. A32, 7263-7271 (1999) | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | The finite-size scaling functions for anisotropic three-dimensional Ising models of size $L_1 imes L_1 imes aL_1$ ($a$: 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. | | Source: | arXiv, cond-mat/9909262 | | Services: | Forum | Review | PDF | Favorites | |
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