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Fluctuations of an Atomic Ledge Bordering a Crystalline Facet

Patrik L. Ferrari·Michael Praehofer·Herbert Spohn
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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 multi-matrix models.

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Patrik L. Ferrari, Michael Praehofer, Herbert Spohn. 2003-10-17. Fluctuations of an Atomic Ledge Bordering a Crystalline Facet. https://doi.org/10.1103/physreve.69.035102

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