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math.PR2023★ 1 cited
From Exclusion to Slow and Fast Diffusion
Patricia Gonçalves, Gabriel Nahum, Marielle Simon
We construct a nearest-neighbour interacting particle system of exclusion type, which illustrates a transition from slow to fast diffusion. More precisely, the hydrodynamic limit o…
math.PR2014★ 20 cited
From normal diffusion to superdiffusion of energy in the evanescent flip noise limit
Cédric Bernardin, Patricia Gonçalves, Milton Jara +2
We consider a harmonic chain perturbed by an energy conserving noise depending on a parameter . When is of order one, the energy diffuses according to the standard heat equa…