Universality of the Tangential Shape Exponent at the Facet Edge of a Crystal
| dc.creator | Akutsu, Y. | |
| dc.creator | Akutsu, N. | |
| dc.creator | Yamamoto, T. | |
| dc.date | 1998-03-15 | |
| dc.date.accessioned | 2026-07-07T03:10:09Z | |
| dc.date.available | 2026-07-07T03:10:09Z | |
| dc.description | Below the roughening temperature, the equilibrium crystal shape (ECS) is composed of both facets and a smoothly curved surface. As for the ``normal'' profile (perpendicular to the facet contour), the ECS has the exponent 3/2 which is characteristic of systems in the Gruber-Mullins-Pokrovsky-Talapov (GMPT) universality class. Quite recently,it was pointed out that the ECS have a ``new'' exponent 3 for ``tangential'' profile. We first show that this behavior is universal because it is a direct consequence of the well-establised universal form of the vicinal-surface free energy. Second, we give a universal relation between the amplitudes of the tangential and the normal profiles, in close connection with the universal Gaussian curvature jump at the facet edge in systems with short-range inter-step interactions. Effects of the long-range interactions are briefly discussed. | |
| dc.description | 4 pages (REVTEX), 1 Postscript figure. Submitted to Phys. Rev. E | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9803189 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9803189 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28152 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Universality of the Tangential Shape Exponent at the Facet Edge of a Crystal | |
| dc.type | text |