PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Nigel Higson, Mari Royer.

Title:The evolution of networks
Seminar:Department of Mathematics Colloquium
Speaker:David Kinderlehrer, Carnegie Mellon University
Abstract:
Cellular networks are ubiquitous in nature. Most technologically useful materials arise as polycrystalline microstructures, composed of a myriad of small crystallites, the grains, separated by interfaces, the grain boundaries. The energetics and connectivity of the network of boundaries are implicated in many properties across all scales of use. The evolution of such networks, coarsening, is governed primarily by the attempt of the system to decrease interfacial energy subject to spatial constraints. The recently discovered grain boundary character distribution (GBCD) characterizes texture and its existence illustrates that the boundary network is ordered. We discuss a theory for the evolution of this statistic which bridges mesoscopic scales. It gives rise to many interesting questions and challenges: we still have much to learn about these very ancient questions.

Room Reservation Information

Room Number:MB114
Date:04 / 10 / 2014
Time:03:35pm - 04:25pm