Integrability and non-equilibrium statistical physics
By Kirone Mallick
Nonequilibrium statistical mechanics & large deviation theory
By Thierry Bodineau
Appears in collection : French Japanese Conference on Probability and Interactions
The Macroscopic Fluctuation Theory (MFT) is a framework proposed by Bertini, De Sole, Gabrielli, Jona-Lasinio and Landim for diffusive interacting particle systems, in which large deviations functions can be obtained by solving a system of nonlinear PDEs. In this talk, we shall present an exact solution of the MFT for a paradigmatic process, the simple exclusion process, derived by using Inverse Scattering Theory.