Upcoming Events

Due to the COVID 19 pandemic, no events are currently taking place on-site at the WIAS until further notice. Many events are organized online instead. Information on how to access these events can be found by clicking “more” below the respective entry.


go to archive

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

Abstract
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.

Further Informations
Seminar Interacting Random Systems

Host
WIAS Berlin