Paul N. Patrone, Russel Caflisch, Dionisios Margetis
Using a kinetic model of epitaxial growth, we describe how geometry controls kinetic pathways through which external deposition influences the state of a vicinal surface. The state of the surface is determined by three key, adjustable parameters: the local step angle, Peclet number P, and single bond detachment rate b. By scaling arguments in P, we find three steady state regimes: In one regime, detailed balance approximately holds, so that the system is near equilibrium. In the other two regimes, geometric e ffects compete with deposition as the system is driven progressively out of equilibrium. Our analytical results are in excellent agreement with those of kinetic Monte Carlo simulations.