Arnaud Triay: Semi-classical limit of large fermionic systems at positive temperature

Tid: On 2019-02-27 kl 17.00 - 18.00

Föreläsare: Arnaud Triay, CEREMADE

Plats: Seminar Hall Kuskvillan, Institut Mittag-Leffler

In this talk I will present some recent results on semi-classical limit of large fermionic systems at positive temperature. This is joint work with Mathieu Lewin and Peter Madsen.
We derive the Vlasov free energy with the fermionic entropy, \(s(x) = x \log x + (1-x) \log(1-x)\), from the many-body theory. After introducing the setting and the results, I will explain the main ideas of the proof. I will probably end by digressing and talk about the equivalence of ensembles in the thermodynamic limit which is a key notion in this study.

After Seminar Pizza