Discrete-Event Analytic Technique for Surface Growth Problems

Details Discrete-Event Analytic Technique for Surface Growth Problems Discrete-Event Analytic Technique for Surface Growth Problems

2003-11-02

arxiv.org/abs/cond-mat/0311015v2

Phys. Rev. B, Vol. 69, 075407 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 7 figures, published 17 Feb. 2004

Scientific paper

10.1103/PhysRevB.69.075407

We introduce an approach for calculating non-universal properties of rough surfaces. The technique uses concepts of distinct surface-configuration classes, defined by the surface growth rule. The key idea is a mapping between discrete events that take place on the interface and its elementary local-site configurations. We construct theoretical probability distributions of deposition events at saturation for surfaces generated by selected growth rules. These distributions are then used to compute measurable physical quantities. Despite the neglect of temporal correlations, our approximate analytical results are in very good agreement with numerical simulations. This discrete-event analytic technique can be particularly useful when applied to quantification problems, which are known to not be suited to continuum methods.

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