Efficient method of finding scaling exponents from finite-size Monte-Carlo simulations
Computational Physics
2013-03-05 v1 Statistical Mechanics
Abstract
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.
Keywords
Cite
@article{arxiv.1303.0294,
title = {Efficient method of finding scaling exponents from finite-size Monte-Carlo simulations},
author = {Indrek Mandre and Jaan Kalda},
journal= {arXiv preprint arXiv:1303.0294},
year = {2013}
}
Comments
The "previous version" of this is arXiv:0804.1911. This version is published in EPJB