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

V Latora, A Rapisarda and S Ruffo

Physica A: Statistical Mechanics and its Applications, 2000, vol. 280, issue 1, 81-86

Abstract: 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 Lévy walks in a transient temporal regime before the system relaxes to equilibrium.

Keywords: Hamiltonian dynamics; Deterministic chaos; Lyapunov exponents; Relaxation to equilibrium; Anomalous diffusion; Lévy walks (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:280:y:2000:i:1:p:81-86

DOI: 10.1016/S0378-4371(99)00621-4

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