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arXiv · 1606.08060

Continuum limit of a mesoscopic model with elasticity of step motion on vicinal surfaces

Yuan Gao·Jian-Guo Liu·Jianfeng Lu
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Abstract

This work considers the rigorous derivation of continuum models of step motion starting from a mesoscopic Burton-Cabrera-Frank (BCF) type model following the work [Xiang, SIAM J. Appl. Math. 2002]. We prove that as the lattice parameter goes to zero, for a finite time interval, a modified discrete model converges to the strong solution of the limiting PDE with first order convergence rate.

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Yuan Gao, Jian-Guo Liu, Jianfeng Lu. 2016-06-26. Continuum limit of a mesoscopic model with elasticity of step motion on vicinal surfaces. https://doi.org/10.1007/s00332-016-9354-1

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