Corrections to scaling in phase-ordering kinetics

The leading correction to scaling associated with departures of the initial condition from the scaling morphology is determined for some soluble models of phase-ordering kinetics at aero temperature. The result for the pair correlation function has the form C(r, t) = f(0)(r/L) + L(-omega)f(1)(r/L)(+)..., where L is a characteristic length scale extracted from the energy. The correction-to-scaling exponent omega has the value omega = 4 for the d = 1 Glauber model, the n-vector model with n = infinity, and the approximate theory of Ohta. Jasnow, and Kawasaki. For the approximate Mazenko theory, however, omega has a non-trivial value: omega = 3.8836,,.. for d = 2, and omega = 3.9030,... for d = 3. The correction-to-scaling functions f(1)(x) are also calculated. [S1063-651X(98)09402-3].