Clement Erignoux Universita' di Roma Tre
Titolo: Hydrodynamics for a non-ergodic activated exclusion process
Martedi' 23 Ottobre 2018 ORE 14:30
Dipartimento di Matematica e Fisica Universita' degli Studi Roma Tre Largo San Leonardo Murialdo,1 - Pal.C
Abstract The Entropy Method introduced by Guo, Papanicolaou and Varadhan (1988) has been used with great sucess to derive the scaling hydrodynamic behavior of wide ranges of conserved lattice gases (CLG). It requires to estimate the entropy of the measure of the studied process w.r.t. some nice, usually product, measure. In this talk, I will present an exclusion model inspired by a model introduced by Goncalves, Landim, Toninelli (2008), with a dynamical constraint, where a particle at site x can only jump to x+delta iff site x-delta (delta=pm1) is occupied as well. I will give some insight on the different microscopic and macroscopic situations that can occur for this model, and briefly describe the steps to derive the hydrodynamic limit for this model by adapting the Entropy Method to non-product reference measures. I will also expand on the challenges and question raised by this model and on some of its nice mapping features. Joint work with O. Blondel, M. Sasada, and M. Simon.