Cooperative Effects in a Dye/Liquid Crystal System

Tuesday, September 28, 2004 - 1:30pm - 2:20pm
Keller 3-180
David Kinderlehrer (Carnegie-Mellon University)
We discuss the dichroic dye/liquid crystal interaction known as the Janossy effect and studied by Palffy-Muhoray, Kosa and E. A consistent variational principle is offered that takes advantage of Monge-Kantorovich mass transport ideas and some consequences, like whether or not such a formulation can actually predict the observed Janossy effect, are discussed. As time permits, we shall discuss the general issue of diffusion mediated transport, the interaction of transport mechanisms and diffusion at extremely small scale with hints to other systems. This is joint work with Stuart Hastings and Michael Kowalczyk.