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Wednesday, 23.09.2020, 11:30 (WIAS-405-406)
Seminar Interacting Random Systems
Benedikt Jahnel:
The free energy of a grid version of the Bose gas
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406

A rigorous derivation of the famous Bose-Einstein condensation in terms of statistical mechanics is widely considered as one of the outstanding open problems in statistical physics.. Starting from a microscopic description of the system as a Gibbs measure of interacting particles in continuous finite volumes, the conjecture is that, in the thermodynamic limit and when the system is forced to have a large particle density, the particles become delocalized and macroscopic components begin to emerge, a condensation phenomenon. One way to make this observation is to consider a reformulation of the problem in terms of a variational formula for the free energy, a strategy which has been successful applied for the non-interacting case. In the talk, I will present a slightly simplified version of the model which allows us to derive the variational description in a way that includes the microscopic and macroscopic parts of the model using large-deviation theory. This is joint work with Wolfgang König.

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Seminar Interacting Random Systems

WIAS Berlin