Corrections to scaling in the phase-ordering dynamics of a vector order parameter

Citation
Np. Rapapa et Aj. Bray, Corrections to scaling in the phase-ordering dynamics of a vector order parameter, PHYS REV E, 60(2), 1999, pp. 1181-1188
Citations number
34
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
60
Issue
2
Year of publication
1999
Part
A
Pages
1181 - 1188
Database
ISI
SICI code
1063-651X(199908)60:2<1181:CTSITP>2.0.ZU;2-H
Abstract
Corrections to scaling, associated with deviations of the order parameter f rom the scaling morphology in the initial state, are studied for systems wi th O(n) symmetry at zero temperature in phase-ordering kinetics. Including corrections to scaling, the equal time pair correlation function has the fo rm C(r,t)=f(0)(r/L) +L(-omega)f(1)(r/L)+..., where L is the coarsening leng th scale. The correction-to-scaling exponent omega and the correction-to-sc aling function f(1)(x) are calculated for both nonconserved and conserved o rder parameter systems using the approximate Gaussian closure theory of Maz enko, In general omega is a nontrivial exponent which depends on both the d imensionality d of the system and the number of components n of the order p arameter. Corrections to scaling are also calculated for the nonconserved o ne-dimensional XY model, where an exact solution is possible. [S1063-551X(9 9)11308-4].