SPECIAL MATHEMATICS COLLOQUIUM
Speaker: Arvind Baskaran
Abstract Self-organization is the process where particles or agents in a system with seemingly simple rules of interactions exhibit ordering into coherent structures. Controlled self-organization has a wide range of applications from manufacturing to treatment of diseases. Hence understanding the processes involved is of great importance. This talk will start with a microscopic (particle) description of a system of interacting particles. The techniques involved in coarse-graining this microscopic description to obtain continuum hydrodynamic theories will be outlined. The application of the ideas to solid liquid phase transition and some numerical experiments to illustrate the potential of this approach will also be discussed.This work was done in collaboration with Aparna Baskaran (Brandeis University) and John Lowengrub (University of California Irvine).