Prediction of anomalous diffusion and algebraic relaxations for long-range interacting systems, using classical statistical mechanics - Archive ouverte HAL Access content directly
Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2005

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

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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.

Dates and versions

ensl-00179877 , version 1 (16-10-2007)

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Freddy Bouchet, Thierry Dauxois. Prediction of anomalous diffusion and algebraic relaxations for long-range interacting systems, using classical statistical mechanics. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2005, 72 (4), pp.045103. ⟨ensl-00179877⟩
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