Date: Tuesday, September 21, 2010
Title: The Dynamics of Nucleation in Stochastic CahnMorral Systems
Abstract: The CahnHilliard equation serves as? a model for several phase separation phenomena in binary metal alloys. This can be extended to a system in order to study the case of alloys with more than two metallic components, in which case it is called a CahnMorral system. In this talk, I will discuss dynamical aspects of a CahnMorral system for a certain type of phase separation  known as nucleation  in which the material separates into small droplets of a variety of qualitative types. I will present numerical studies in the context of alloys consisting of three metallic components. These studies give a statistical classification for the distribution of droplet types as the component structure of the alloy is varied. Bifurcation methods allow for the computation of the lowenergy equilibria of the deterministic equation. I relate the statistics for the stochastic equation to these lowenergy equilibria.
Speaker: Evelyn Ã‚Â Sander
Institution: George Mason University
