CONSERVATIVE GROWTH WITH SURFACE-DIFFUSION

We briefly review growth models and related continuum equations propos ed for describing epitaxial growth. We mainly consider conservative gr owth without desorptions and vacancies under chemical-bonding environm ent. We also speculate on the asymptotic behaviors of growth models an d the correspondence between the models and continuum equations. Next, we investigate a growth model, a natural extension of the Wolf-Villai n model, which is shown to be described by the most general continuum equation up to fourth order for a conservative growth. Numerical simul ations on one-dimensional and two-dimensional substrates show crossove r behaviors of growth exponents according to the continuum equation.