Anisotropic Surface Growth Model in Disordered Media

Details Anisotropic Surface Growth Model in Disordered Media Anisotropic Surface Growth Model in Disordered Media

1996-06-27

arxiv.org/abs/cond-mat/9606205v2

Phys. Rev. Lett. 77 (1996) 5094

Physics

Condensed Matter

Statistical Mechanics

4 pages, source TeX file and 7 PS figures. Minor changes in text and figure, revised final version to appear in PRL

Scientific paper

10.1103/PhysRevLett.77.5094

We introduce a self-organized surface growth model in 2+1 dimensions with anisotropic avalanche process, which is expected to be in the universality class of the anisotropic quenched Kardar-Parisi-Zhang equation with alternative signs of the nonlinear KPZ terms. It turns out that the surface height correlation functions in each direction scales distinctively. The anisotropic behavior is attributed to the asymmetric behavior of the quenched KPZ equation in 1+1 dimensions with respect to the sign of the nonlinear KPZ term.

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