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An Exact Solution of the Macroscopic Fluctuation Theory

By Kirone Mallick

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.

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