Journal of Statistical Physics, Vol. 60, Nos. 1/2, 1990. p. 181-202.
We present a deposition and evaporation model for surface growth under a solid-on-solid constraint. We generalize the Ising-spin representation of a two-dimensional surface by Bi6te and Hilhorst to a d-dimensional surface of a (d+l)-dimensional hypercubic lattice. The allowed surface configurations correspond to the (degenerate) ground states of a chirat d-state Potts model. We describe a vectorized multisite-coding implementation for the corresponding kinetic Potts-spin model for d = 2 and d = 3. For the d = 2 equilibrium surface our simulation results show excellent agreement with an exact analysis.