title: Corrections to scaling in the phase-ordering dynamics of a vector order parameter.
abstract: Corrections to scaling, associated with deviations of the order parameter from the scaling morphology in the initial state, are studied for systems with O(n) symmetry at zero temperature in phase-ordering kinetics. Including corrections to scaling, the equal time pair correlation function has the form C(r,t)=f0(r/L)+L(-omega)f1(r/L)+., where L is the coarsening length scale. The correction-to-scaling exponent omega and the correction-to-scaling function f1(x) are calculated for both nonconserved and conserved order parameter systems using the approximate Gaussian closure theory of Mazenko. In general omega is a nontrivial exponent which depends on both the dimensionality d of the system and the number of components n of the order parameter. Corrections to scaling are also calculated for the nonconserved one-dimensional XY model, where an exact solution is possible.
authors.affiliation: Department of Physics and Astronomy, The University, Manchester M13 9PL, United Kingdom.
authors.forename: N P
authors.initials: NP
authors.lastname: Rapapa
authors.forename: A J
authors.initials: AJ
authors.lastname: Bray