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

Autor:	Cardozo, David Lopes, Holdsworth, Peter C. W.
Rok vydání:	2015
Předmět:	Condensed Matter - Statistical Mechanics
Zdroj:	J. Phys.: Condens. Matter 28 (2016) 166007
Druh dokumentu:	Working Paper
DOI:	10.1088/0953-8984/28/16/166007
Popis:	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. Comment: 10 pages, 17 images in 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.02488 Zobrazit plný text záznamu View this record from Arxiv