Dynamics of Toom interface in three dimensions

Details Dynamics of Toom interface in three dimensions Dynamics of Toom interface in three dimensions

1993-07-14

arxiv.org/abs/cond-mat/9307026v1

Phys. Rev. Lett. 72 (1993) 747

Physics

Condensed Matter

9pages (4 postscript files at the end of tex file)

Scientific paper

10.1103/PhysRevLett.71.747

We introduce a novel three dimensional Toom model on bcc lattice, and study its physical properties. In low-noise limit, the model leads to an effective solid-on-solid-type model, which exhibits a stationary interface via depositions and evaporations with avalanche process. We find that the model is described by the Edwards-Wilkinson equation for unbiased case and the anisotropic-Kardar-Parisi-Zhang equation in the weak-coupling limit for biased case. Thus the square of the surface width diverges logarithmically with space and time for both unbiased and biased cases.

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