Singularities and Avalanches in Interface Growth with Quenched Disorder

Details Singularities and Avalanches in Interface Growth with Quenched Disorder Singularities and Avalanches in Interface Growth with Quenched Disorder

1995-02-08

arxiv.org/abs/cond-mat/9502036v1

Physics

Condensed Matter

4 pages. REVTEX. 4 figs available on request from hmakse@juno.bu.edu

Scientific paper

10.1103/PhysRevE.52.4080

A simple model for an interface moving in a disordered medium is presented. The model exhibits a transition between the two universality classes of interface growth phenomena. Using this model, it is shown that the application of constraints to the local slopes of the interface produces avalanches of growth, that become relevant in the vicinity of the depinning transition. The study of these avalanches reveals a singular behavior that explains a recently observed singularity in the equation of motion of the interface.

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