Abstract
From a unified model we propose that, upon slight modification, the system of equations proposed by Seto and Frank to describe nucleation-controlled growth of 2D crystals may also model the normal growth of 2D crystal with rough surfaces. Furthermore, we will show that the solution of these equations is equivalent to that of a Klein-Gordon equation, and we give exact analytical and numerical solutions of that equation. The profiles obtained reproduce well the observed shape of polyethylene crystals with curved facets.
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