Abstract
Nonequilibrium fluctuation of advancing or receding steps is controlled by the growth mechanism in contrast to the equilibrium fluctuation. For a Burton-Cabrera-Frank type model, we adopt a linear stochastic equation to describe the step fluctuation δy k ( t). If the step kinetics is fast from the lower terrance (Schwoebel effect), a step becomes smooth when it recedes, whereas it becomes rough when it advances. The rougheness diverges when the supersaturation approaches the Mullins-Sekerka instability point. We perform Monte Carlo simulations with a lattice model. The growth velocity agrees very well with the theoretical value, and the expected step smoothing and roughening are confirmed. Fluctuation of equidistant parallel steps in a vicinal face is also studied.
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