Gaussian Approach for Phase Ordering in Nonconserved Scalar Systems with Long-Range Interactions
| dc.creator | Filipe, J. A. N. | |
| dc.creator | Bray, A. J. | |
| dc.date | 1993-10-29 | |
| dc.date.accessioned | 2026-07-07T03:06:58Z | |
| dc.date.available | 2026-07-07T03:06:58Z | |
| dc.description | 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. | |
| dc.description | 19 pages, Plain LaTeX, M/C.TH.93/27 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9310073 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9310073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27008 | |
| dc.subject | Condensed Matter | |
| dc.title | Gaussian Approach for Phase Ordering in Nonconserved Scalar Systems with Long-Range Interactions | |
| dc.type | text |