Crystal Facets in Materials Surface<br/><br/>Relaxation: A two-scale perspective

Thursday, September 13, 2012 - 10:45am - 11:15am
Keller 3-180
Dionisios Margetis (University of Maryland)
I will discuss recent progress and open
challenges in connecting the dynamics
of line defects to the large-scale evolution of
facets, which give rise to free boundaries,
on macroscopic crystal surfaces. At the microscale,
a large number of differential equations is invoked
for the positions of defects. At the macroscale, the surface
evolution is plausibly described by a Partial Differential
Equation (PDE) for the surface height profile. A goal is to
derive boundary conditions for the PDE consistent with
the motion of defects. I will address the (simplified) case of an
evaporation-condensation process in a radial geometry,
which provides some generic features of the
more general problem.
MSC Code: