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Home page > Seminars > Séminaires théorie > Theory Club Wednesday May 19 2020 at 5pm (Zoom). Marielle Simon: "Hydrodynamic limit for a facilitated exclusion process".

Theory Club Wednesday May 19 2020 at 5pm (Zoom). Marielle Simon: "Hydrodynamic limit for a facilitated exclusion process"

Unless otherwise stated, seminars and defences take place at 11:30 in room 454A of Condorcet building.


Hydrodynamic limit for a facilitated exclusion process

Marielle Simon

In this talk we will be interested in a one-dimensional exclusion process subject to strong kinetic constraints, which belongs to the class of cooperative kinetically constrained lattice gases. More precisely, its stochastic short range interaction exhibits a continuous phase transition to an absorbing state at a critical value of the particle density. We will see that the macroscopic behavior of this microscopic dynamics, under periodic boundary conditions and diffusive time scaling, is ruled by a non-linear PDE belonging to free boundary problems (or Stefan problems). One of the ingredients is to show that the system typically reaches an ergodic component in subdiffusive time.

Based on joint works with O. Blondel, C. Erignoux and M. Sasada


Contact : Équipe séminaires / Seminar team - Published on / Publié le 12 December 2020


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