University of Birmingham > Talks@bham > Applied Mathematics Seminar Series > Diffusion of finite-size particles and application to porous media

Diffusion of finite-size particles and application to porous media

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  • UserDr Maria Bruna, University of Oxford
  • ClockMonday 27 February 2017, 15:00-16:00
  • HouseStrathcona LT7.

If you have a question about this talk, please contact David Smith.

We discuss nonlinear Fokker-Planck models describing diffusion processes with particle interactions. These models are motivated by the study of many particle systems in biology, and arise as the population-level description of a stochastic particle-based model. In particular, we consider a system of impenetrable diffusing spheres and use the method of matched asymptotic expansions to obtain a systematic model reduction. In the second part of the talk, we discuss how this method can be used to derive an effective transport equation for diffusion in a disordered porous medium. A nice feature of this approach is that it can easily account for macroscopic gradients in porosity.

This talk is part of the Applied Mathematics Seminar Series series.

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