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Abstract

The dynamics of guiding centres in a general configuration of three electrostatic plane waves is studied in the plane (x, y) perpendicular to a strong magnetic field. The associated Hamiltonian is non-autonomous with 1 1/2 degrees of freedom, and the conjugated variables are the coordinates (x, y). This is the simplest system that exhibits the onset of chaotic motion in electrostatic plasma turbulence. An explicit analytical solution is obtained for the unperturbed integrable system consisting of two low-amplitude waves, by solving a generalised Kepler equation. Chaotic diffusion of guiding centres becomes possible due to the existence of a third wave. As the amplitude of the perturbation increases, chaotic motion is first localised, then extended over a network spread over the whole phase space along separatrices and, finally, densely covers the full space.

Additional information

Authors: MISGUICH J H, CEA, Département de Recherches sur la Fusion Contrôlée, CEN Cadarache, Saint-Paul-lez-Durance (FR);NAKACH R, CEA, Département de Recherches sur la Fusion Contrôlée, CEN Cadarache, Saint-Paul-lez-Durance (FR)
Bibliographic Reference: Article: Physical Review A, Vol. 44 (1991) No. 6, pp. 3869-3888
Record Number: 199111628 / Last updated on: 1994-12-02
Category: PUBLICATION
Original language: en
Available languages: en