Universality of the Tangential Shape Exponent at the Facet Edge of a Crystal

Details Universality of the Tangential Shape Exponent at the Facet Edge of a Crystal Universality of the Tangential Shape Exponent at the Facet Edge of a Crystal

1998-03-15

arxiv.org/abs/cond-mat/9803189v1

Physics

Condensed Matter

Statistical Mechanics

4 pages (REVTEX), 1 Postscript figure. Submitted to Phys. Rev. E

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Universality of the Tangential Shape Exponent at the Facet Edge of a Crystal does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Universality of the Tangential Shape Exponent at the Facet Edge of a Crystal, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universality of the Tangential Shape Exponent at the Facet Edge of a Crystal will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-721224