Fluctuations of an Atomic Ledge Bordering a Crystalline Facet
arXiv:cond-mat/0303162 · doi:10.1103/PhysRevE.69.035102
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.
arXiv commentVersion with major revisions -- RevTeX, 4 pages, 2 figures
References in corpus (2)
Cited by in corpus (18)
- Fluctuations of the one-dimensional polynuclear growth model with external sources
- Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals
- Equilibrium Shape of Crystals
- Domino tilings and the six-vertex model at its free fermion point
- Slow decorrelations in KPZ growth
- Interface fluctuations for deposition on enlarging flat substrates
- One-dimensional stochastic growth and Gaussian ensembles of random matrices
- The universal Airy_1 and Airy_2 processes in the Totally Asymmetric Simple Exclusion Process
- Dynamic Scaling of Non-Euclidean Interfaces
- Nanoscale Equilibrium Crystal Shapes
- Universal fluctuation of the average height in the early-time regime of the one-dimensional Kardar-Parisi-Zhang-type growth
- Dynamics of curved interfaces
- Width and extremal height distributions of fluctuating interfaces with window boundary conditions
- Domain wall fluctuations of the six-vertex model at the ice point
- Dynamical Scaling Implications of Ferrari, Prähofer, and Spohn's Remarkable Spatial Scaling Results for Facet-Edge Fluctuations
- A facet is not an island: step-step interactions and the fluctuations of the boundary of a crystal facet
- 3D crystal: how flat its flat facets are?
- Fluctuations of isolated and confined surface steps of monoatomic height