%0 Journal Article
%T A Measure of data-collapse for scaling
%A Somendra M. Bhattacharjee
%A Flavio Seno
%J Physics
%D 2001
%I arXiv
%R 10.1088/0305-4470/34/33/302
%X 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.
%U http://arxiv.org/abs/cond-mat/0102515v2