Transitions between epitaxial growth regimes: A (1+1)-dimensional   kinetic Monte Carlo study
  To study epitaxial thin-film growth, a new model is introduced and extensive kinetic Monte Carlo simulations performed for a wide range of fluxes and temperatures. Varying the deposition conditions, a rich growth diagram is found. The model also reproduces several known regimes and in the limit of low particle mobility a new regime is defined. Finally, a relation is postulated between the temperatures of the kinetic and thermal roughening transitions. 
Cristovao S. Dias, Nuno A. M. Araujo, and Antonio Cadilhe
cond-mat.stat-mech physics.comp-ph