Continuum description of profile scaling in nanostructure decay

Dionisios Margetis, Michael J. Aziz, Howard A. Stone

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


The relaxation of axisymmetric crystal surfaces with a single facet below the roughening transition is studied via a continuum approach that accounts for step energy g1>0 and step-step interaction energy g3>0 For diffusion-limited kinetics, free-boundary, and boundary-layer theories are used for self-similar shapes close to the growing facet. For long times and g3/g1<1,(a) a universal equation is derived for the shape profile, (b) the layer thickness varies as(g3/g1<1)1/3,(c) distinct solutions are found for different g3/g1, and (d) for conical shapes, the profile peak scales as (g3/g1<1)−1/6.These results compare favorably with kinetic simulations.

Original languageEnglish (US)
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number4
StatePublished - Jan 26 2004
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Continuum description of profile scaling in nanostructure decay'. Together they form a unique fingerprint.

Cite this