title: Prediction of anomalous diffusion and algebraic relaxations for long-range interacting systems, using classical statistical mechanics.
abstract: We explain the ubiquity and extremely slow evolution of non-Gaussian out-of-equilibrium distributions for the Hamiltonian mean-field model, by means of traditional kinetic theory. Deriving the Fokker-Planck equation for a test particle, one also unambiguously explains and predicts striking slow algebraic relaxation of the momenta autocorrelation, previously found in numerical simulations. Finally, angular anomalous diffusion are predicted for a large class of initial distributions. Non-extensive statistical mechanics is shown to be unnecessary for the interpretation of these phenomena.
authors.affiliation: Laboratoire de Physique, UMR CNRS 5672, Ecole Normale Supérieurs de Lyon, 46, allée d'Italie, 69007 Lyon, France.
authors.forename: Freddy
authors.initials: F
authors.lastname: Bouchet
authors.forename: Thierry
authors.initials: T
authors.lastname: Dauxois