Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces
Abstract
This work considers the rigorous derivation of continuum models of step motion starting
from a mesoscopic Burton–Cabrera–Frank-type model following the Xiang’s work (Xiang
in SIAM J Appl Math 63(1):241–258, 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.
Type
Journal articlePermalink
https://hdl.handle.net/10161/14280Published Version (Please cite this version)
10.1007/s00332-016-9354-1Publication Info
(2016). Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces.
Journal of Nonlinear Science. pp. 1-54. 10.1007/s00332-016-9354-1. Retrieved from https://hdl.handle.net/10161/14280.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Yuan Gao
William W. Elliott Assistant Research Professor
This author no longer has a Scholars@Duke profile, so the information shown here reflects
their Duke status at the time this item was deposited.
Jian-Guo Liu
Professor of Physics
Jianfeng Lu
Professor of Mathematics
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm
development for problems from computational physics, theoretical chemistry, materials
science and other related fields.More specifically, his current research focuses include:Electronic
structure and many body problems; quantum molecular dynamics; multiscale modeling
and analysis; rare events and sampling techniques.
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