A simple proof of a Kramers'type law for self-stabilizing diffusions

International audienceWe provide a new proof of a Kramers' type law for self-stabilizing diffusion. These diffusions correspond to the hydrodynamical limit of a mean-field system of particles and may be seen as the probabilistic interpretation of the granular media equation. We use the same hypotheses as the ones used in the work ``Large deviations and a Kramers' type law for self-stabilizing diffusions'' by Herrmann, Imkeller and Peithmann in which the authors obtain a first proof of the statement