Corrections to scaling in the q-state Potts model within Gaussian closure approximation

N. P. Rapapa () and N. B. Maliehe

The European Physical Journal B: Condensed Matter and Complex Systems, 2005, vol. 48, issue 2, 219-223

Abstract: Corrections to scaling in the q-state Potts model due to departures of the initial condition from scaling morphology are studied at zero temperature in phase-ordering kinetics within Gaussian closure approximation. When the corrections to scaling are included, the equal time correlation function has the form G(r,t)=g 0 (r/L)+L -ω g 1 (r/L) + ..., where L is the coarsening length scale. Both the correction-to-scaling exponent ω and the correction-to-scaling function g 1 (x) are calculated for different values of q. The correction-to-scaling exponent ω is found to be nontrivial and depends on q. The corrections to scaling are found to be large (relative to scaling function g 0 (x) itself) at large scaling variable x. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Date: 2005
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DOI: 10.1140/epjb/e2005-00387-8

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