3:00 p.m., Friday (February 29, 2008)
Math Annex 1100
Department of Mathematics, SFU
Mathematical and Physical Paradigms for Periodic Pattern Formation
Abstract: Energy-driven pattern formation induced by competing short and
long-range interactions is ubiquitous in science. Often patterns of different
phases display a periodic structure. This talk will address mathematical and
physical paradigms for periodic pattern formation. The mathematical paradigm
consists of nonlocal perturbations to the well-studied Cahn-Hilliard and
isoperimetric variational problems. The physical paradigm is microphase
separation of diblock copolymers.
Mathematical issues associated with these functionals and their connection
with diblock copolymers will be discussed. One particular focus of the talk
will be the phase diagram from the perspective of the modern calculus of
variations. Numerical simulations of appropriate gradient flows also play
an important role, and simulations will be presented.
Refreshments will be served at 2:45 p.m. (Math Lounge, MATX 1115).