40 MS08 Abstracts CP1 oretical results such as the Lifshitz-Slyozov growth law; the Percolation of Conductivity for Carbon Nanotubes effect of adjusting the interaction length scale is also de- scribed. The problem of the percolation of conductivity that oc- curs from the suspension of carbon nanotubes in a non- David J. Horntrop conductive polymer matrix is of considerable interest for Dept of Mathematical Sciences, Center for Applied Math applications in the development of electronic devices at the New Jersey Institute of Technology nanoscale. The onset of conductivity awaits accurate pre-
[email protected] diction. This talk will examine models (Schramm-Loewner evolution [SLE], lattice-path walks, moduli space integra- tion) that attempt to present this behavior. The advan- CP2 tages and disadvantages of these approaches will be dis- Mathematical Modeling of Heat-Shrinkable Thin cussed. Films Joseph P. Brennan We present a mathematical model for simulating the be- Department of Mathematics and Nanoscience Technology havior of thin films that undergo an irreversible deforma- Center tion upon applying heat to their surface. We derive an University of Central Florida asymptotic model, compare and relate to results obtained
[email protected] by using Γ-convergence techniques, and present numerical results. The problem is motivated by industrial attempts Qun Huo to deform originally flat, thin protective layers into shapes Department of Chemistry and Nanoscience Technology that can be easily applied onto car windshields. A typical Center material used in the simulations is PET. University of Central Florida Pavel Belik
[email protected] Department of Mathematics University of St. Thomas Aihua Li
[email protected] Department of Mathematical Sciences Montclair State University Cristina Thomas, Bob Jennings
[email protected] 3M
[email protected],
[email protected] CP1 Facet Evolution on Supported Nanostructures: the Mikhail M.