PMID: 11909415Mar 23, 2002Paper

Novel continuum modeling of crystal surface evolution

Physical Review Letters
Navot Israeli, Daniel Kandel

Abstract

We propose a novel approach to continuum modeling of the 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 can handle singular surface structures such as corners and facets. It has a clear computational advantage over discrete models.

References

Sep 15, 1990·Physical Review. B, Condensed Matter·M Ozdemir, A Zangwill
Jan 15, 1990·Physical Review Letters·F Lançon, J Villain
Aug 5, 1996·Physical Review Letters·E S FuE D Williams
Oct 6, 2000·Physical Review Letters·W CaiS Yip

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Citations

Dec 31, 2005·Physical Review Letters·Maozhi Li, J W Evans
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marcos F Castez, Ezequiel V Albano
Jul 1, 2009·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Marcos F Castez, Ezequiel V Albano
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Joshua P SchneiderDionisios Margetis
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Christopher Ograin, John Lowengrub
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D B LukatskyS A Safran

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