A three-dimensional Toom model is defined and the properties of the interface separating the two stable phases are investigated. Using symmetry arguments we show that in the zero-noise limit the model has only nonequilibrium fluctuations and that the scaling is described by the anisotropic Kardar-Parisi-Zhang equation. The scaling exponents are determined numerically and good agreement with the theoretical predictions is found.

• Received 27 May 1992

DOI:https://doi.org/10.1103/PhysRevLett.68.3729