Phase Ordering Dynamics of the O(n) Model - Exact Predictions and Numerical Results

Abstract

We consider the pair correlation functions of both the order parameter field and its square for phase ordering in the $O(n)$ model with nonconserved order parameter, in spatial dimension $2\le d\le 3$ and spin dimension $1\le n\le d$. We calculate, in the scaling limit, the exact short-distance singularities of these correlation functions and compare these predictions to numerical simulations. Our results suggest that the scaling hypothesis does not hold for the $d=2$ $O(2)$ model. Figures (23) are available on request - email [email protected]

23 pages, Plain LaTeX, M/C.TH.93/26

References in corpus (1)

• Growth Laws for Phase Ordering

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