Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-03-10
Phys. Rev. E, Rapid Communications, 69 (2004) 035102(R)
Physics
Condensed Matter
Statistical Mechanics
Version with major revisions -- RevTeX, 4 pages, 2 figures
Scientific paper
10.1103/PhysRevE.69.035102
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.
Ferrari Patrik L.
Praehofer Michael
Spohn Herbert
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