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We are interested in the evolution of a system of particles around thermodynamical equilibria presenting an infinite number of particles. That is, we study the asymptotic stability of solutions at equilibrium of the Hartree equation : i∂tX = − 4 X + w ∗ (|X|2)X where X is a random field, w is a real fonction that characterises the interactions between particles, ∗ is the convolution product, and is the expectation. This equation admits solutions whose laws are invariant under temporal and spatial translations, they are thus nonlocalised. We will present their asymtotic stability through a scattering result.

Un résultat de diffusion pour l’équation de Hartree autour de solutions non localisées