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Hydrodynamic limits for a reaction diffusion system

Speaker: Wai Fan

Date: Thu, Jun 7, 2012

Location: PIMS, University of British Columbia

Conference: PIMS-MPrime Summer School in Probability

Subject: Mathematics, Probability

Class: Scientific

Abstract:

We will investigate an interacting particle system in which two types of Brownian particles annihilate at a certain rate when they're near the interface of their respective domains. This can model the propagation of charges in a single solar cell. We will show that the particle density is the solution of a coupled PDE and obtain a probabilistic representation of the solution.