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SUMMARY:Hydrodynamic limit for a facilitated exclusion process
DTSTART:20230214T084500Z
DTEND:20230214T094500Z
DTSTAMP:20260522T144600Z
UID:indico-event-9198@indico.math.cnrs.fr
DESCRIPTION:Speakers: Marielle Simon\n\nIn this talk we will be interested
  in a one-dimensional exclusion process subject to strong kinetic constr
 aints\, which belongs to the class of cooperative kinetically constrained 
 lattice gases. Its stochastic short range interaction exhibits a continuou
 s phase transition to an absorbing state at a critical value of the partic
 le density. Moreover its stationary states exhibit long range correlations
 . 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. One of the ingre
 dients is to show that the system typically reaches an ergodic component 
 in subdiffusive time.\n\nBased on joint works with O. Blondel\, C. Erignou
 x and M. Sasada\n\nhttps://indico.math.cnrs.fr/event/9198/
LOCATION:Amphi Schwartz
URL:https://indico.math.cnrs.fr/event/9198/
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