Cutoff for the Transience Time for the SSEP with Traps and the Facilitated Exclusion Process

Explore the facilitated exclusion process (FEP) as a model for phase separation in this 48-minute talk. Delve into the kinetic constraints of particle movement and the resulting frozen and ergodic states at different densities. Learn about a new mapping of the FEP to the SSEP (Simple Symmetric Exclusion Process) with traps, which exhibits similar phase behavior. Examine the estimation of transience time required to reach ergodic or frozen states, focusing on the cutoff phenomenon as system size increases. Investigate the implications of this transience time cutoff on mixing times for both the FEP and SSEP with traps. Gain insights from the collaborative work of Clément Erignoux (INRIA & Université de Lyon 1) and Brune Massoulié (Université Paris Dauphine) in this advanced exploration of statistical physics and probability theory.