Prediction of anomalous diffusion and algebraic relaxations for long-range interacting systems, using classical statistical mechanics

Details Prediction of anomalous diffusion and algebraic relaxations for long-range interacting systems, using classical statistical mechanics Prediction of anomalous diffusion and algebraic relaxations for long-range interacting systems, using classical statistical mechanics

2004-07-27

arxiv.org/abs/cond-mat/0407703v2

Phys. Rev E. 72, 045103(R) (2005).

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.72.045103

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.

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