Continuum Theory of Nanostructure Decay Via a Microscale Condition

DSpace/Manakin Repository

Continuum Theory of Nanostructure Decay Via a Microscale Condition

Citable link to this page

 

 
Title: Continuum Theory of Nanostructure Decay Via a Microscale Condition
Author: Margetis, Dionisios; Aziz, Michael; Fok, Pak-Wing; Stone, Howard

Note: Order does not necessarily reflect citation order of authors.

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.
Full Text & Related Files:
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, 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.
Published Version: http://dx.doi.org/10.1103/PhysRevLett.97.096102
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:2794937
Downloads of this work:

Show full Dublin Core record

This item appears in the following Collection(s)

 
 

Search DASH


Advanced Search
 
 

Submitters