Continuum Theory of Nanostructure Decay Via a Microscale Condition
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CitationMargetis, Dionisio, Pak-Wing Fok, Michael J. Aziz, and Howard A. Stone. 2006. Continuum theory of nanostructure decay via a microscale condition. Physical Review Letters 97(9): 096101-096104.
AbstractThe morphological relaxation of faceted crystal surfaces is studied via a continuum approach. Our formulation includes (i) an evolution equation for the surface slope that describes step line tension, g1, and step repulsion energy, g3; and (ii) a condition at the facet edge (a free boundary) that accounts for discrete effects via the collapse times, tn, of top steps. For initial cones and tn[approximate]t-tilde n4, we use t-tilde(g) from step simulations and predict self-similar slopes in agreement with simulations for any g=g3/g1>0. We show that for g>>1, (i) the theory simplifies to an equilibrium-thermodynamics model; (ii) the slope profiles reduce to a universal curve; and (iii) the facet radius scales as g-3/4.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:2794937
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