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Configurational Continuum Modelling of Crystalline Surface Evolution

  • Navot Israeli
  • Daniel Kandel
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 149)

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.

Keywords

continuum modeling multi scale modeling step flow surface evolution 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2005

Authors and Affiliations

  • Navot Israeli
    • Daniel Kandel
      • 1
    1. 1.Department of Physics of Complex SystemsWeizmann Institute of ScienceRehovotIsrael

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