13 citations · 26 across the 6 of their papers we have counts for
4 papers · 1 filter
Anisotropic diffusion in continuum relaxation of stepped crystal surfaces
John Quah, Dionisios Margetis
We study the continuum limit in 2+1 dimensions of nanoscale anisotropic diffusion processes on crystal surfaces relaxing to become flat below roughening. Our main result is a conti…
Anisotropic step stiffness from a kinetic model of epitaxial growth
Dionisios Margetis, Russel E. Caflisch
Starting from a detailed model for the kinetics of a step edge or island boundary, we derive a Gibbs-Thomson type formula and the associated step stiffness as a function of the ste…
Unified continuum approach to crystal surface morphological relaxation
Dionisios Margetis
A continuum theory is used to predict scaling laws for the morphological relaxation of crystal surfaces in two independent space dimensions. The goal is to unify previously disconn…
Continuum description of profile scaling in nanostructure decay
Dionisios Margetis, Michael J. Aziz, Howard A. Stone
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 g_1 and step-s…