Somendra M Bhattacharjee and Flavio Seno 2001 J. Phys. A: Math. Gen. 34 6375 doi:10.1088/0305-4470/34/33/302
Somendra M Bhattacharjee1,2 and Flavio Seno2
Show affiliationsData 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.
Issue 33 (24 August 2001)
Received 6 June 2001
Published 10 August 2001
Somendra M Bhattacharjee and Flavio Seno 2001 J. Phys. A: Math. Gen. 34 6375
E. Flaccomio et al. 2003 ApJ 582 398
A Coley et al 2004 Class. Quantum Grav. 21 5519
Edson D Leonel and P V E McClintock 2005 J. Phys. A: Math. Gen. 38 L425
P Turchi et al 1982 J. Phys. C: Solid State Phys. 15 2891
Satoki Matsushita et al 2004 ApJ 616 L55
Robert M Lapp et al 2008 Phys. Med. Biol. 53 2693
J Urquidi et al 2003 J. Phys.: Condens. Matter 15 3657
François Shindo et al 2007 J. Phys. B: At. Mol. Opt. Phys. 40 2841
B. M. Gaensler et al. 2003 ApJ 588 441