Maximum entropy principle explains quasi-stationary states in systems with long-range interactions: the example of the Hamiltonian Mean Field model - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2007

Maximum entropy principle explains quasi-stationary states in systems with long-range interactions: the example of the Hamiltonian Mean Field model

Résumé

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.

Dates et versions

hal-00169663 , version 1 (04-09-2007)

Identifiants

Citer

Andrea Antoniazzi, Duccio Fanelli, Julien Barré, Pierre-Henri Chavanis, Thierry Dauxois, et al.. Maximum entropy principle explains quasi-stationary states in systems with long-range interactions: the example of the Hamiltonian Mean Field model. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2007, 75 (1), pp.011112. ⟨10.1103/PhysRevE.75.01112⟩. ⟨hal-00169663⟩
49 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More