Non-equilibrium growth for a restricted-curvature model

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The static and dynamic roughenings of a growing crystalline facet is studied where the growth mechanism is controlled by a restricted-curvature (RC) geometry. A continuum equation, in analogy with the Kardar-Parisi-Zhang (KPZ) equation is considered for the purpose. It is shown here that although the growth process begins with a RC geometry, a structural phase transition occurs from the restricted-curvature phase to the KPZ phase. An estimation of the corresponding critical temperature is given here. Calculations on the static phase transition give results along the same line as existing predictions, apart fromm minor numerical adjustments.