Séminaire Tridib SADHU

Jeudi 1er février 2024, 14h00, Salle E4.13b Hybride

Tridib SADHU

Tata Institute of Fundamental Research, Mumbai

Large deviations in the non-equilibrium stationary state of diffusive systems: microscopic and hydrodynamic approaches

I shall present our exact result for the large deviation function of the density profile and of the current in the non-equilibrium stationary state of a one-dimensional symmetric exclusion process coupled to boundary reservoirs with varied coupling strength. These new results extend the earlier seminal works of Derrida and collaborators for the same model where rates at the boundaries are comparable to the bulk ones, to regimes where boundary rates are significantly slower or faster.

I shall then show how these new results can be reproduced using the fluctuating hydrodynamics description of the macroscopic fluctuation theory. In describing this hydrodynamic approach I shall present a derivation of the fluctuating hydrodynamics for the model and an exact solution of the variational problem for the large deviations of the density and of the current. An advantage of the hydrodynamics formulation is its generality. I shall conclude by presenting the results of large deviations for a class of diffusive systems, including those whose microscopic dynamics are non-integrable.

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