Dynamic scaling in a (2+1)-dimensional limited mobility model of epitaxial growth

We study statistical scale invariance and dynamic scaling in a simple solid-on-solid (2 + 1)-dimensional limited mobility discrete model of nonequilibrium surface growth, which we believe should describe the low temperature kinetic roughening properties of molecular beam epitaxy. The model exhibits long-lived transient anomalous and multiaffine dynamic scaling properties similar to that found in the corresponding (1 + 1)-dimensional problem. Using large-scale simulations we obtain the relevant scaling exponents, and compare with continuum theories.