Joint BCAM-UPV/EHU Analysis and PDE seminar: The Kac Limit for Fermionic Lattice Systems

Date: Thu, Nov 3 2022

Hour: 17:00

Location: Maryam Mirzakhani Seminar Room at BCAM 

Speakers: Kaué Rodrigues Alves

LOCATION: Maryam Mirzakhani Seminar Room at BCAM 

The Kac limit is a way of obtaining the thermodynamic behavior of certain mean-field models as the limiting case of a system subject only to short-range interactions. We prove new results for fermionic systems on a lattice, stating that the convergence holds not only for the thermodynamic pressure but also for equilibrium states (i.e., for all correlation functions). When both an attractive and a repulsive Kac interaction are present, we also show that the pressure of the system and the corresponding correlation functions do not necessarily converge to those of the conventional mean-field model, and can possibly lead to very unconventional (infinite volume) mean-field models.

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Confirmed speakers:

Kaué Rodrigues Alves