https://doi.org/10.1140/epjb/e2005-00387-8
Corrections to scaling in the q-state Potts model within Gaussian closure approximation
1
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 np.rapapa@nul.ls
Received:
14
April
2005
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
