Status  Confirmed 
Seminar Series  IPHTPHM 
Subjects  mathph 
Date  Monday 10 October 2022 
Time  11:00 
Institute  IPHT 
Seminar Room  Salle Claude Itzykson, Bât. 774 
Speaker's Last Name  Kirone Mallick 
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Speaker's Institution  IPhT 
Title  An exact solution of the macroscopic fluctuation theory 
Abstract  Interacting diffusive particle systems are paradigms for nonequilibrium statistical physics. Their macroscopic behaviour follows a variational principle, proposed by G. JonaLasinio and his collaborators, known as the Macroscopic Fluctuation Theory (MFT), in which physics out from equilibrium is determined at a coarsegrained scale by two coupled nonlinear 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.] 
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