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-ωf1(r/L)+..., where L is the coarsening length scale. The correction-to-scaling exponent ω 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 ω 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.
Physical Review E
- Pub Date:
- August 1999
- Order-disorder transformations;
- statistical mechanics of model systems;
- Condensed Matter - Statistical Mechanics
- REVTeX, 20 pages, 2 figures