Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series IPHT-PHM
Subjects math-ph
Date Monday 10 October 2022
Time 11:00
Institute IPHT
Seminar Room Salle Claude Itzykson, Bât. 774
Speaker's Last Name Kirone Mallick
Speaker's First Name
Speaker's Email Address
Speaker's Institution IPhT
Title An exact solution of the macroscopic fluctuation theory
Abstract 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.]
arXiv Preprint Number

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