Gaussian Approach for Phase Ordering in Nonconserved Scalar Systems with Long-Range Interactions

Details Gaussian Approach for Phase Ordering in Nonconserved Scalar Systems with Long-Range Interactions Gaussian Approach for Phase Ordering in Nonconserved Scalar Systems with Long-Range Interactions

1993-10-29

arxiv.org/abs/cond-mat/9310073v1

Physics

Condensed Matter

19 pages, Plain LaTeX, M/C.TH.93/27

Scientific paper

We have applied the gaussian auxiliary field method introduced by Mazenko to the ordering dynamics of a non-conserved scalar system with attractive long-range interactions. This study provides a test-bed for the approach and shows some of the difficulties encountered in constructing a closed theory for the pair correlation function. The equation obtained for the equal-time two-point correlation function is studied in the limiting cases of small and large values of the scaling variable. A Porod regime at short distance and an asymptotic power-law decay at large distance are obtained. The theory, is not, however, consistent with the expected growth-law, and attempts to retrieve the correct growth lead to inconsistencies. These results indicate a failure of the gaussian assumption (at least in the form in which we use it) for this system.

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