About the stationary states of vortex systems

We investigate the precise behaviour of a gas of vortices approximating the vorticity of an incompressible, inviscid, two dimensional fluid as prepose d by Onsager [16], For such mean field interacting particles system with po sitive vortices, the convergence of the empirical measure was proven in [3] . We improve this result by showing, for more general values of the vortice s, that a large deviation principle holds. We also prove a central limit th eorem for neutral gases. (C) Elsevier, Paris.