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29 March 2024
 
  » arxiv » cond-mat/0102515

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A Measure of data-collapse for scaling
Somendra M. Bhattacharjee ; Flavio Seno ;
Date 28 Feb 2001
Journal For published version see J. Phys. A34, 6375 (2001)
Subject Soft Condensed Matter; Statistical Mechanics | cond-mat.soft cond-mat.stat-mech
AbstractData-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.
Source arXiv, cond-mat/0102515
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