[Sem-coll] Correction to Colloquium Announcement

Joe Millham jmillhamiit at gmail.com
Fri Sep 18 12:29:56 CDT 2009


All,
The announced Applied Math Colloquium was incorrect for the coming
Monday. Guowei Wei is speaking on Sept. 28, but there is one week in
between Prof. Wei's talk and today.  Please join the AM department for
Colloquium listed below:

Department Colloquium
Monday, Sept 21, 2009
4:40 pm   E1 106
Martin Glicksman (University of Florida)
"Topology and Kinetics of Network Structures"
Join us at 4:15 in E1 112 for refreshments and conversation
Abstract:
The mathematical problem of space filling and growth in network
structures is both basic and of practical interest to physicists,
materials scientists, and biologists. Network cells may represent
various physical entities, such as crystal grains in polycrystals,
bubbles in foams, atomic coordination shells in liquids, or even
biological cells in tissues. The theory to be described is based on
representing network cells by regular polyhedral proxies, called
average N-hedra (ANHs) that satisfy space filling (topology) and
thermodynamics (local equilibrium) over relevant length scales. The
topological analysis used yields kinetic laws that predict average
growth rates for isotropic networks as a function of discrete
topological parameters, such as the network’s number densities of
neighbor contacts, triple points, quadra-junctions, or total
triple-line length. New results found for area shrinkage rates of
three-dimensional polyhedral networks extend the now half-century old
von Neumann ‘n-6’ law that provides well- founded predictions for
quasi-2-d grain growth in polycrystalline films or thin shells.
Predictions based on topological theory agree with Evolver
computations of large 3-d grain assemblies, published independently by
Kraynik et al., Wakai, and by Cox. Analytic relations derived for ANHs
can provide benchmarks for testing numerical simulations of network
behavior, as well as guides for designing quantitative kinetic
experiments, and, eventually, critical statistical measures for
characterizing network microstructures.
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Joe Millham
Administrative Assistant
Department of Applied Mathematics
Illinois Institute of Technology
Engineering-1 Room 208
10 W. 32rd St.
Chicago IL 60616
312.567.8984 (Phone)
312.567.3135 (Fax)




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