A Discrete Solid-on-Solid Model for Nonequilibrium Growth Under Surface   Diffusion Bias
  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. 
S. Das Sarma and P. Punyindu