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

Journal Article · Sat Oct 01 00:00:00 EDT 2005 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.72.045103· OSTI ID:20709768

Bouchet, Freddy; Dauxois, Thierry ^[1]

---

1. Laboratoire de Physique, UMR CNRS 5672, Ecole Normale Superieurs de Lyon, 46, allee d'Italie, 69007 Lyon (France)

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. Nonextensive statistical mechanics is shown to be unnecessary for the interpretation of these phenomena.

• OSTI ID: 20709768
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 72, Issue 4; Other Information: DOI: 10.1103/PhysRevE.72.045103; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFUSION
DISTRIBUTION
EQUILIBRIUM
FOKKER-PLANCK EQUATION
FORECASTING
HAMILTONIANS
MEAN-FIELD THEORY
RELAXATION
SIMULATION
STATISTICAL MECHANICS
TEST PARTICLES