Phase-ordering dynamics of the O(n) model: Exact predictions and numerical results. (English) Zbl 0935.82574
Summary: We consider the pair correlation functions of both the order parameter field and its square for phase ordering in the \(O(n)\) model with a nonconserved order parameter in spatial dimension \(2\leq d\leq 3\) and spin dimension \(1\leq n\leq d\). 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.
MSC:
| 82D30 | Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) |
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