  A limited mobility nonequilibrium solid-on-solid dynamical model for kinetic
surface growth is introduced as a simple description for the morphological
evolution of a growing interface under random vapor deposition and surface
diffusion bias conditions. Large scale stochastic Monte Carlo simulations using
a local coordination dependent instantaneous relaxation of the deposited atoms
produce complex surface morphologies whose dynamical evolution is not
consistent with any of the existing continuum dynamical surface growth
equations. Critical exponents for coarsening and roughening dynamics of the
morphological evolution are quantitatively calculated using large scale
simulations.
