Continuum Theory of Nanostructure Decay Via a Microscale Condition

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Continuum Theory of Nanostructure Decay Via a Microscale Condition

Show simple item record Margetis, Dionisios Aziz, Michael Fok, Pak-Wing Stone, Howard 2009-04-13T19:00:55Z 2006
dc.identifier.citation Margetis, 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. en
dc.identifier.issn 0031-9007 en
dc.description.abstract The 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, g<sub>1</sub>, and step repulsion energy, g<sub>3</sub>; and (ii) a condition at the facet edge (a free boundary) that accounts for discrete effects via the collapse times, t<sub>n</sub>, of top steps. For initial cones and t<sub>n</sub>[approximate]t-tilde n<sup>4</sup>, we use t-tilde(g) from step simulations and predict self-similar slopes in agreement with simulations for any g=g<sub>3</sub>/g<sub>1</sub>>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<sup>-3/4</sup>. en
dc.description.sponsorship Engineering and Applied Sciences en
dc.language.iso en_US en
dc.publisher American Physical Society en
dc.relation.isversionof en
dash.license LAA
dc.title Continuum Theory of Nanostructure Decay Via a Microscale Condition en
dc.relation.journal Physical Review Letters en Aziz, Michael

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