Non-equilibrium interface and surface dynamics

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

Dionisios Margetis (dio@math.umd.edu)

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.

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 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, 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

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 and Dio Margetis

NO RIT

Jonah Erlebacher, Materials Science & Eng., Johns Hopkins University

Diego Luis Gonzalez Cabrera, Physics, UMD

Dio Margetis, Math & IPST & CSCAMM, UMD

Olivier Pierre-Louis, CNRS, LPMCN, Lyon, France

Paul N. Patrone, Physics, UMD

John D. Weeks, Chemistry & IPST, UMD

Kanna Nakamura, Mathematics, UMD