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

and National Institute of Standards and Technology (NIST)

Dionisios Margetis (dio@math.umd.edu),

Paul Patrone (ppatrone@umd.edu)

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

applications 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 that permeate interface evolution and fluctuation.

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

A. PDE modeling, analysis and simulation:

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

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.

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).

(talk titles will be posted on a week-by-week basis)

by Ted Einstein, Dio Margetis, and Paul Patrone

No seminar

Paul Patrone, Physics UMD & NIST

Kanna Nakamura, Mathematics, UMD

Renu Sharma, NIST

Ray Phaneuf, Materials Science & Eng., UMD

August W. Bosse, NIST

Gregg Gallatin, NIST

Micah Hawkins, Physics, UMD

Diego Luis Gonzalez, Physics, UMD