Join us for coffee and tea at 15.45 p.m.
Date: Tuesday, December 4th 2012
Speaker: Prof.dr. F.H.J. Redig (TuDelft)
Room: 5161.0267 (Bernoulliborg)
The inclusion process: dynamics and condensation.
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 asself-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: firstname.lastname@example.org )
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