Corrections to scaling in the phaseordering 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 phaseordering kinetics. Including corrections to scaling, the equal time pair correlation function has the form C(r,t)=f_{0}(r/L)+L^{ω}f_{1}(r/L)+..., where L is the coarsening length scale. The correctiontoscaling exponent ω and the correctiontoscaling function f_{1}(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 onedimensional XY model, where an exact solution is possible.
 Publication:

Physical Review E
 Pub Date:
 August 1999
 DOI:
 10.1103/PhysRevE.60.1181
 arXiv:
 arXiv:condmat/9904011
 Bibcode:
 1999PhRvE..60.1181R
 Keywords:

 64.60.Cn;
 Orderdisorder transformations;
 statistical mechanics of model systems;
 Condensed Matter  Statistical Mechanics
 EPrint:
 REVTeX, 20 pages, 2 figures