Configurational Continuum modelling of crystalline surface evolution
Abstract
We propose a novel approach to continuum modelling of dynamics of crystal surfaces. Our model follows the evolution of an ensemble of step configurations, which are consistent with the macroscopic surface profile. Contrary to the usual approach where the continuum limit is achieved when typical surface features consist of many steps, our continuum limit is approached when the number of step configurations of the ensemble is very large. The model is capable of handling singular surface structures such as corners and facets and has a clear computational advantage over discrete models.
Cite
@article{arxiv.cond-mat/0405351,
title = {Configurational Continuum modelling of crystalline surface evolution},
author = {Navot Israeli and Daniel Kandel},
journal= {arXiv preprint arXiv:cond-mat/0405351},
year = {2007}
}
Comments
Lecture given at Oberwolfach Workshop "Multiscale modeling in epitaxial growth", Jan 2004. Will appear in the conference proceedings (Birkhauser Internatinal Series in Numerical Mathematics)