An exact solution of the macroscopic fluctuation theory
Lundi 10/10/2022, 11:00-12:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
Interacting diffusive particle systems are paradigms for
non-equilibrium statistical physics. Their macroscopic behaviour follows
a variational principle, proposed by G. Jona-Lasinio and his collaborators,
known as the Macroscopic Fluctuation Theory (MFT), in which physics
out from equilibrium is determined at a coarse-grained scale by two
coupled non-linear hydrodynamic equations.
In this talk, we shall show that the MFT equations for the exclusion process
are classically integrable, i.e. they can be integrated by
inverse scattering, a method originally used to study solitons in the KdV or
the NLS equations. Our exact solution will allow us to understand how large
deviations are generated by atypical fluctuations, far from equilibrium.
[The talk will also be streamed online, please ask the organizers for the link.]