Next seminar : Séminaire du LPTMS : Kirone Mallick (IPhT)

Tuesday, May 31 2022 at 11:00:00

An exact solution of the macroscopic fluctuation theory

Kirone Mallick (Institut de Physique Théorique)

Hybrid seminar: onsite + zoom. Meeting ID: 983 6527 4646 Passcode: y6T8vv Interacting diffusive particle systems are considered as 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). Optimal fluctuations far from equilibrium are thus determined at a coarse-grained scale by two coupled non-linear hydrodynamic equations.However, for a long time, only stationary or perturbative solutions of the MFT equations were known. In this talk, we shall show that, for the exclusion process, the MFT equations are classically integrable and can be solved with the help of the inverse scattering method, originally used to study solitons in the KdV or the NLS equations. This exact solution will allow us to calculate the large deviations of the current and the optimal profiles that generates a given fluctuation, both at initial and final times.

Last Highlight : Physics and Biological Systems 2022

Physics and Biological Systems 2022

June 27 - 29, 2022

The 6th International Conference on Physics and Biological Systems will be held on Jun. 27-29 2022 at ENS Paris-Saclay in Gif-sur-Yvette, in the south of Paris. It aims to bring together a broad range of physical and life scientists working at the interface between the two disciplines around in-depth talks by first-rate international speakers. Attendance will be limited to 200 participants.

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