Prediction of anomalous diffusion and algebraic relaxations for long-range interacting systems, using classical statistical mechanics
Statistical Mechanics
2009-11-10 v2
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.
Cite
@article{arxiv.cond-mat/0407703,
title = {Prediction of anomalous diffusion and algebraic relaxations for long-range interacting systems, using classical statistical mechanics},
author = {Freddy Bouchet and Thierry Dauxois},
journal= {arXiv preprint arXiv:cond-mat/0407703},
year = {2009}
}