Abstract
Crystal growth models depend on the density of kink sites along step edges, which are primary sites for surface integration of growth units. Since the kink density is a fundamental quantity in these growth models, disregarding its supersaturation dependence results in the loss of effects that get magnified at higher supersaturation. In this work, a simplified steady-state framework is developed for estimating the nonequilibrium kink density as a function of supersaturation. It involves balancing the rates of the dominant surface events that produce kinks with those that destroy kinks. The master equations obtained are solved simultaneously to yield closed-form expressions for the nonequilibrium kink density. Predicted step velocities are in excellent agreement with kinetic Monte Carlo simulations.
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