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]
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