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Modeling Elasticity in Crystal Growth

by: KR Elder, Mark Katakowski, Mikko Haataja, Martin Grant
Physical Review Letters, Vol. 88, No. 24. (4 June 2002), 245701.


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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.


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