Corrections to scaling in the q-state Potts model within Gaussian closure approximation
National University of Lesotho, PO Roma 180, Lesotho, Southern Africa
2 The Abdus Salam International Centre for Theoretical Physics, PO Box 586, Strada Costiera 11, Trieste, Italy
Corresponding author: a firstname.lastname@example.org
Published online: 16 December 2005
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 , where L is the coarsening length scale. Both the correction-to-scaling exponent ω and the correction-to-scaling function 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 itself) at large scaling variable x.
PACS: 05.50+q – Lattice theory and statistics (Ising, Potts, etc.) / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 82.20.-w – Chemical kinetics and dynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005