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Mathematics Colloquium

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Date:  Tuesday, September 21, 2010

Title:  The Dynamics of Nucleation in Stochastic Cahn-Morral Systems

Abstract:  The Cahn-Hilliard 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 Cahn-Morral system. In this talk, I will discuss dynamical aspects of a Cahn-Morral 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 low-energy equilibria of the deterministic equation. I relate the statistics for the stochastic equation to these low-energy equilibria.


Speaker:  Evelyn  Sander
Institution:  George Mason University

 

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