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
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.