Title: A few scaling limits results for the facilitated exclusion process
Our next seminar will be held on Monday, October 7, from 3:30 p.m. to 4:30 p.m. (Rio de Janeiro local time).
This meeting will take place on Google Meet: https://meet.google.com/eom-
Speaker: Marielle Simon (Université Lyon 1)
Abstract: I will present some recent results which have been obtained for the facilitated exclusion process, in one dimension. This stochastic lattice gas is subject to strong kinetic constraints which create a continuous phase transition to an absorbing state at a critical value of the particle density. If the microscopic dynamics is symmetric, its macroscopic behavior, 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. When the particle system is put in contact with reservoirs of particles (which can either destroy or inject particles at both boundaries), we observe an usual impact on the boundary values of the empirical density.
Based on joint works with O. Blondel, H. Da Cunha, C. Erignoux, M. Sasada and L. Zhao.
All the talks are held in English.
More complete information about the seminars can be found at
https://www.dme.ufrj.br/?page_id=3583
Sincerely,
Organizers: Giulio Iacobelli and Maria Eulalia Vares
