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

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