Semi-classical limit of large fermionic systems at positive temperature
Spectral Methods in Mathematical Physics
27 February 17:00 - 18:00
Arnaud Triay - CEREMADE
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.
University of Zurich, UZH