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math.PR2019
Stefan problem for a non-ergodic facilitated exclusion process
Oriane Blondel, Clément Erignoux, Marielle Simon
We consider the facilitated exclusion process, which is a nonergodic, kinetically constrained exclusion process. We show that in the hydrodynamic limit, its macroscopic behavior is…
math-ph2019
A Microscopic Derivation Of Coupled Spde's With A Kpz Flavor
Ragaa Ahmed, Cedric Bernardin, Patricia Goncalves +1
We consider an interacting particles system composed of a Hamiltonian part and perturbed by a conservative stochastic noise so that the full system conserves two quantities: energy…
math.PR2019
An open microscopic model of heat conduction: evolution and non-equilibrium stationary states
Tomasz Komorowski, Stefano Olla, Marielle Simon
We consider a one-dimensional chain of coupled oscillators in contact at both ends with heat baths at different temperatures, and subject to an external force at one end. The Hamil…