Probability and Stochastic Analysis - University of Bonn

Abstract of "Fluctuations of an Atomic Ledge Bordering a Crystalline Facet"

with Michael Prähofer and Herbert Spohn.

When a high symmetry facet joins the rounded part of a crystal, the step line density vanishes as sqrt(r) with r denoting the distance from the facet edge. This means that the ledge bordering the facet has a lot of space to meander as caused by thermal activation. We investigate the statistical properties of the border ledge fluctuations. In the scaling regime they turn out to be non-Gaussian and related to the edge statistics of GUE random matrices.

Postscript file: [PS]

PDF file: [PDF]

arXiv: cond-mat/0303162