Dynamics and Self-consistent Chaos in a Mean Field Hamiltonian Model

  • Diego del-Castillo-Negrete
Part of the Lecture Notes in Physics book series (LNP, volume 602)


We study a mean field Hamiltonian model that describes the collective dynamics of marginally stable fluids and plasmas in the finite N and N → ∞ kinetic limit (where N is the number of particles). The linear stability of equilibria in the kinetic model is studied as well as the initial value problem including Landau damping. Numerical simulations show the existence of coherent, rotating dipole states. We approximate the dipole as two macroparticles and show that the N = 2 limit has a family of rotating integrable solutions that provide an accurate description of the dynamics. We discuss the role of self-consistent Hamiltonian chaos in the formation of coherent structures, and discuss a mechanism of “violent” mixing caused by a self-consistent elliptic-hyperbolic bifurcation in phase space.


Hamiltonian System Coherent Structure Rotation Period Symmetric State Kinetic Limit 
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© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Diego del-Castillo-Negrete
    • 1
  1. 1.Oak Ridge National LaboratoryOak RidgeUSA

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