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
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.