03-102 Patrik L. Ferrari, Michael Praehofer, Herbert Spohn

Fluctuations of an Atomic Ledge Bordering a Crystalline Facet (401K, Postscript) Mar 10, 03

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Abstract. 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.

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