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Dynamics of Toom interface in three dimensions

H. Jeong·B. Kahng·D. Kim
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Abstract

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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H. Jeong, B. Kahng, D. Kim. 1993-07-14. Dynamics of Toom interface in three dimensions. https://doi.org/10.1103/physrevlett.71.747

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