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Seminários do IMPA

Probabilidade e Combinatória

Hydrodynamics for a non-ergodic activated exclusion process,
Clement Erignoux

Quarta-feira, 6 de junho de 2018, 10:30
Sala 228

Joint work with O. Blondel, M. Sasada, and M. Simon.

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 good, usually product measure. In this talk, I will present an exclusion model inspired by a model introduced by  Gonçalves, Landim, Toninelli (2008), with a dynamical constraint, where a particle at site x can only jump to x+\delta iff site x-\delta is occupied as well. I will give some insight on the different microscopic and macoscopic 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.