#
RESEARCH INTERACTION TEAM (RIT):

Current Challenges in Materials Science:
Aspects of Interface Motion

##
FALL 2009

Department of Mathematics

Department of Physics

Institute for Physical Science and Technology (IPST)

University of Maryland, College Park

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LECTURES:
Wednesdays, 4:30pm-5:30pm
(unless noted otherwise);

**Room:** MATH 1308

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Scope & Research Focus:
The complex properties of material surfaces and interfaces

have been the subject
of theoretical and experimental scrutiny
for many years.

Surfaces mediate mass and charge transport mechanisms in various

applications
ranging from the design and fabrication of nanoscale optoelectronic devices

to the pressing issues of energy conversion and storage.

This RIT focuses on recent progress and emerging problems in the modeling
and analysis

of surface phenomena across
length and time scales.

Mathematical, physical and chemical aspects
will be discussed.

Particular emphasis will be placed on tools of kinetic theory
that permeate
interface evolution and fluctuation.

TOPICS: The (tentative) topics to be addressed are expected to fall into three
general categories:

A. PDE modeling and analysis:

Prediction of surface morphology from given initial or final data
("inverse problem");

averaging (homogenization) of composite 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. Emerging issues of energy conversion and storage:
modeling of electronic transport; kinetic formalism(s).

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CREDIT:
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 2009:**

(talks will be posted on a week-by-week basis)

September 9, 4:30-5:30pm

*Organizational meeting -- Introduction of topics*

by Dio Margetis

September 16, 4:30-5:30pm

*Terrace width narrowing on surfaces during growth*

by Ted Einstein (Physics, UMD)

September 23, 4:30-5:30pm

*Some analytic results on kinetic theory of step fluctuations *

by Dio Margetis (Math, IPST & CSCAMM, UMD)

September 30,

*
NO TALK
*

October 7,

*
Determining equilibrium correlation functions from
truncations of exact BBGKY hierarchy equations
*

by John D. Weeks (Chemistry & IPST, UMD)

October 14,

*
The evolution of
free boundaries: Analysis and
homogenization.
*

by Antoine Mellet (Math, UMD)

October 21,

*CANCELLED
*

October 28,

*
Kinetic Monte Carlo simulation studies of coarsening in *

mesoporous fcc crystals: topological and morphological evolution,

diffusion
pathways, and void formation

by Jonah D. Erlebacher (Mat. Sci. & Eng., Johns Hopkins Univ.)

November 4,

*
One-dimensional stochastic model of epitaxial growth
*

by Rongrong Wang, (Math/AMSC, UMD)

November 11,

*
Generalized Thermodynamics of Surfaces with Application to Small Scale
Systems
*

by Robert C. Cammarata, (Mat. Sci. & Eng., Johns Hopkins Univ.)

November 18,

*
CANCELLED
*

by Mark Stiles (NIST)

November 25,

*OPEN--Thxgiving Eve
*

December 2,

*
On diffuse interface models
*

by Konstantina Trivisa (Math & IPST, UMD)

December 9,

*Mean-field theories for fluctuations of surface line defects:*

Fokker-Planck equations and kinetic Monte Carlo simulations

by Paul Patrone (Physics, UMD)