PACS. 81.10.Aj – Theory and models of crystal growth; physics of crystal growth, crystal morphology and orientation.. PACS. 81.15.Hi – Molecular, atomic, ion, and chemical beam epitaxy.. PACS. 05.70.Ln – Nonequilibrium and irreversible thermodynamics.. Abstract. – Conserved growth models that exhibit a nonlinear instability in which the height (depth) of isolated pillars (grooves) grows in time are studied by numerical integration and stochastic simulation. When this instability is controlled by the introduction of an infinite series of higher-order nonlinear terms, these models exhibit, as function of a control parameter, a non-equilibrium phase transition between a kinetically rough phase with self-affine scaling and a phase that exhibits mound formation, slope selection and power-law coarsening. The nonequilibrium kinetics of the growth of films by the deposition of atoms on a substrate is of considerable experimental and theoretical interest [1, 2]. While the process of kinetic roughening  leading to a self-affine interface profile has been extensively studied, there has been much recent interest [2,3,4] in a different mode of surface growth, involving the formation and coarsening of “mounds ” (pyramid-like structures). The system is said to exhibit slop
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