Absolute test for theories of phase-ordering dynamics

This is the authors' abstract. We don't add key points for this paper.

Numerical simulation results are presented for phase ordering in the O(n) model with nonconserved order parameter, for 1{≤}n{≤}d in dimensions d=2 and 3. The two-point correlation functions C_φ and C_φ² of the order-parameter field and its square are obtained and compared with approximate analytic results obtained by treating the order-parameter field as a function of a Gaussian auxiliary field. Good agreement between theory and simulation is obtained when the functions C_φ and C_φ² are considered separately, but not when the free parameter of the theory [incorporated in the scaling length L(t)] is eliminated by considering the two functions together.