Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 34, Issue 33, Pages 6375-6380Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/34/33/302
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Data collapse is a way of establishing scaling and extracting associated exponents in problems showing self-similar or self-affine characteristics as, for example, 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.
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