Geometric model of crystal growth between rigid walls II. Anisotropic interface controlled normal and abnormal growth

In this paper we investigate the generalized case of the geometric constrained slow growth which was considered in part I of this work. We rewrite the interface equation of motion in the general case of anisotropic interface controlled normal and abnormal growth, constrained by two rigid parallel walls. It is shown that the present conditions do not affect the steady state asymptotic solution that was found in part I. Therefore, the steady state interface is faceted, and the curvature is localized to a narrow "boundary layer" whose thickness is of the order of a characteristic critical radius of nucleation. Instability may develop of the Wulff relation exhibits a sharp cusp.