Chaotic dynamics and superdiffusion in a Hamiltonian system with many degrees of freedom

Details Chaotic dynamics and superdiffusion in a Hamiltonian system with many degrees of freedom Chaotic dynamics and superdiffusion in a Hamiltonian system with many degrees of freedom

1999-11-19

arxiv.org/abs/cond-mat/9911317v1

Physica A 280 (2000) 81

Physics

Condensed Matter

Statistical Mechanics

7 pages, Latex, 6 figures included, Contributed paper to the Int. Conf. on "Statistical Mechanics and Strongly Correlated Syst

Scientific paper

10.1016/S0378-4371(99)00621-4

We discuss recent results obtained for the Hamiltonian Mean Field model. The model describes a system of N fully-coupled particles in one dimension and shows a second-order phase transition from a clustered phase to a homogeneous one when the energy is increased. Strong chaos is found in correspondence to the critical point on top of a weak chaotic regime which characterizes the motion at low energies. For a small region around the critical point, we find anomalous (enhanced) diffusion and L\'evy walks in a transient temporal regime before the system relaxes to equilibrium.

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