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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 | 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. | Source: | arXiv, cond-mat/0102515 | Services: | Forum | Review | PDF | Favorites |
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