Colloquium Mathematics, Prof.dr. F.H.J. Redig (TuDelft)

Join us for coffee and tea at 15.45 p.m.

Date: Tuesday, December 4^th 2012

Speaker: Prof.dr. F.H.J. Redig (TuDelft)

Room: 5161.0267 (Bernoulliborg)

Time: 16.15

Title: The inclusion process: dynamics and condensation.

Abstract:

The inclusion process is an interacting particle system where particles perform random walks on a finite (or countable) set and have an attractive interaction.

It is a natural bosonic counterpart of the extensively studied exclusion process, and is exactly solvable in the same sense.

I will provide an introduce to this process and show some of its basic properties, such as
self-duality, product stationary measures, and duality with an interacting diffusion process that describes a model of heat conduction.

If the random walk rate becomes small w.r.t. the attractive interaction and many particles are in the system, condensates -i.e. huge piles of particles- start to form. We analyse the limiting metastable dynamics of these condensates. On an appropriate time scale, this dynamics consist of a mixture of diffusive merging of condensates and random walk of individual condensates, until a single condensate is formed, which then continues to move as a random walk.

joint work with S. Grosskinsky and K. Vafayi

Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and

Dr. A.V. Kiselev (e-mail: a.v.kiselev@rug.nl )

http://www.rug.nl/wiskunde/nieuws/actueel/wiskundecolloquia