RESEARCH INTERACTION TEAM (RIT):
Non-equilibrium interface and surface dynamics: Modeling, analysis, numerics & experiment
Department of Mathematics
Department of Physics
Institute for Physical Science and Technology (IPST)
Center for Scientific Computation and Mathematical Modeling
University of Maryland, College Park
National Institute of Standards and Technology (NIST)
(unless noted otherwise);
Room: MATH 1308
Theodore L. Einstein (firstname.lastname@example.org),
Dionisios Margetis (email@example.com),
Paul Patrone (firstname.lastname@example.org)
Scope & Research Focus:
The complex properties of material surfaces and interfaces
have been the subject
of theoretical and experimental scrutiny
for many decades.
Advances in Scanning Tunneling Microscopy (STM) and other experimental techniques
have enabled remarkably presice observations and stimulated challenging theoretical
questions of practical importance, many of which remain unresolved.
Surfaces mediate mass and charge transport mechanisms in various
ranging from the design and fabrication of nanoscale optoelectronic devices
to the pressing issues of energy conversion and storage.
Despite this rapid experimental progress, our understanding of surface and interface
motion is far from complete. A crucial question concerns the improvement of
modeling, analysis and simulation in order to describe far-from-equilibrium
phenomena such as growth and nucleation.
This RIT focuses on recent progress and emerging problems in the modeling, analysis, numerics
and experiments on surface phenomena across
length and time scales.
Mathematical, physical and possibly chemical aspects
will be discussed.
Particular emphasis will be placed on tools of kinetic theory
interface evolution and fluctuation.
TOPICS: The (tentative) topics to be addressed are expected to fall into three
A. PDE modeling, analysis and simulation:
Prediction of surface morphology from given initial or final data
averaging (homogenization) of composite or decorated surfaces;
free-boundary problems with microstructure.
B. Stochastic aspects of interface motion:
Random data, notions of noise and related descriptions;
kinetic theory of surfaces;
`mean-field' approximations; analogies
with other physical systems (e.g., non-uniform liquids);
germane problems of long-range interactions between line defects (steps)
C. Other emerging issues: Linkages of atomistic motion (lattice gas
and Solid-On-Solid models) to descriptions at larger scales
(step flow models, full continuum);
coupling of morphology with electronic transport; energy storage
D. Lessons and challenges from recent STM and other experiments.
Students can take 1-3 units of credit by attending
this RIT, and
studying and presenting a paper on an acceptable topic agreed on with one
of the organizers,
or discussing original research.
For details, contact one of the Organizers (above).
Schedule for Fall 2011:
(talk titles will be posted on a week-by-week basis)
Organizational meeting -- Introduction of topics
by Ted Einstein, Dio Margetis, and Paul Patrone
September 21, 4:30-5:30pm
September 28, 4:15pm-5:15pm
Characterizing equilibrium in epitaxial growth,
Paul Patrone, Physics UMD & NIST
October 5, 4:30-5:30pm
October 12, 4:15pm-5:15pm
Steps and facets in model of evaporation-condensation
Kanna Nakamura, Mathematics, UMD
October 19, 4:15pm
In situ measurements of Factors Controlling the Structure and the Morphology of Carbon Nanotubes
Renu Sharma, NIST
October 26, 4:30pm
Directed Self Assembly and Self-Limiting Behavior during Growth on
Ray Phaneuf, Materials Science & Eng., UMD
November 2, 4:15pm
Field-Theoretic Simulations of Block Copolymer Melts for Nanotechnology
August W. Bosse, NIST
November 9, 4:15pm
Path integral formulations of vortex electron beams
Gregg Gallatin, NIST
Fluctuations of zigzag steps
Micah Hawkins, Physics, UMD
NO RIT -- THANKSGIVING HOLIDAY
Impurities on stepped surfaces
Chemistry & IPST, UMD
One-Dimensional Island Nucleation With Hindered Aggregation
Diego Luis Gonzalez, Physics, UMD