Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-03-30
Phys. Rev E 75 011112 (2007)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 3 figs, submitted to Phys. Rev. Lett
Scientific paper
10.1103/PhysRevE.75.011112
A generic feature of systems with long-range interactions is the presence of {\it quasi-stationary} states with non-Gaussian single particle velocity distributions. For the case of the Hamiltonian Mean Field (HMF) model, we demonstrate that a maximum entropy principle applied to the associated Vlasov equation explains known features of such states for a wide range of initial conditions. We are able to reproduce velocity distribution functions with an analytical expression which is derived from the theory with no adjustable parameters. A normal diffusion of angles is detected and a new dynamical effect, two oscillating clusters surrounded by a halo, is also found and theoretically justified.
Antoniazzi Andrea
Barr'e Julien
Chavanis Pierre-Henri
Dauxois Thierry
Fanelli Duccio
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