Modeling Elasticity in Crystal Growth

2001/07/18 by K. R. Elder, Mark Katakowski, Mikko Haataja +1 · 16 citations
Materials Science · Mathematics · Physics and Astronomy · #Composite material #Computer science #Condensed matter physics #Crystal (programming language) #Crystal growth #Elasticity (physics) #Epitaxy #Grain boundary #Growth model #Materials science #Mathematics #Microstructure #Microstructure and mechanical properties #Nanotechnology #Physics #Solidification and crystal growth phenomena #Statistical physics #Surface and Thin Film Phenomena #Thermodynamics #cond-mat.mtrl-sci #cond-mat.soft

paper · pdf · doi:10.1103/physrevlett.88.245701

4 pages, 10 figures

arxiv created 2001/07/18 · openalex publication_date 2002/06/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A new model of crystal growth is presented that describes the phenomena on atomic length and diffusive time scales. The former incorporates elastic and plastic deformation in a natural manner, and the latter enables access to time scales much larger than conventional atomic methods. The model is shown to be consistent with the predictions of Read and Shockley for grain boundary energy, and Matthews and Blakeslee for misfit dislocations in epitaxial growth.

Citations

• Hydrodynamic fluctuations at the convective instability
• Theory of dynamic critical phenomena

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