A Measure of data-collapse for scaling
Soft Condensed Matter
2009-11-07 v2 Statistical Mechanics
Abstract
Data-collapse is a way of establishing scaling and extracting associated exponents in problems showing self-similar or self-affine characteristics as e.g. in equilibrium or non-equilibrium phase transitions, in critical phases, in dynamics of complex systems and many others. We propose a measure to quantify the nature of data collapse. Via a minimization of this measure, the exponents and their error-bars can be obtained. The procedure is illustrated by considering finite-size-scaling near phase transitions and quite strikingly recovering the exact exponents.
Cite
@article{arxiv.cond-mat/0102515,
title = {A Measure of data-collapse for scaling},
author = {Somendra M. Bhattacharjee and Flavio Seno},
journal= {arXiv preprint arXiv:cond-mat/0102515},
year = {2009}
}
Comments
3 pages, revtex, 3 figures,2 in colour. Replaced by the proper version - slightly longer and no mismatch of abstract