Efficient method of finding scaling exponents from finite-size Monte-Carlo simulations

Autor:	Mandre, Indrek, Kalda, Jaan
Rok vydání:	2013
Předmět:	Physics - Computational Physics Condensed Matter - Statistical Mechanics
Druh dokumentu:	Working Paper
DOI:	10.1140/epjb/e2012-30954-7
Popis:	Monte-Carlo simulations are routinely used for estimating the scaling exponents of complex systems. However, due to finite-size effects, determining the exponent values is often difficult and not reliable. Here we present a novel technique of dealing with the problem of finite-size scaling. This new method allows not only to decrease the uncertainties of the scaling exponents, but makes it also possible to determine the exponents of the asymptotic corrections to the scaling laws. The efficiency of the technique is demonstrated by finding the scaling exponent of uncorrelated percolation cluster hulls. Comment: The "previous version" of this is arXiv:0804.1911. This version is published in EPJB
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1303.0294 Zobrazit plný text záznamu View this record from Arxiv