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A Measure of data-collapse for scaling

Somendra M. Bhattacharjee·Flavio Seno
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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.

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Somendra M. Bhattacharjee, Flavio Seno. 2001-03-01. A Measure of data-collapse for scaling. https://doi.org/10.1088/0305-4470%2F34%2F33%2F302

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