Extended Universality of the Surface Curvature in Equilibrium Crystal Shapes

Details Extended Universality of the Surface Curvature in Equilibrium Crystal Shapes Extended Universality of the Surface Curvature in Equilibrium Crystal Shapes

1997-04-22

arxiv.org/abs/cond-mat/9704177v1

Physics

Condensed Matter

Statistical Mechanics

19 pages, RevTex, 3 Postscript Figures, To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.56.355

We investigate the universal property of curvatures in surface models which display a flat phase and a rough phase whose criticality is described by the Gaussian model. Earlier we derived a relation between the Hessian of the free energy and the Gaussian coupling constant in the six-vertex model. Here we show its validity in a general setting using renormalization group arguments. The general validity of the relation is confirmed numerically in the RSOS model by comparing the Hessian of the free energy and the Gaussian coupling constant in a transfer matrix finite-size-scaling study. The Hessian relation gives clear understanding of the universal curvature jump at roughening transitions and facet edges and also provides an efficient way of locating the phase boundaries.

Affiliated with

Also associated with

No associations

Rating

Extended Universality of the Surface Curvature in Equilibrium Crystal Shapes 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 Extended Universality of the Surface Curvature in Equilibrium Crystal Shapes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extended Universality of the Surface Curvature in Equilibrium Crystal Shapes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-97589