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Abstract

Passing particles in toroidal geometry are described in Hamiltonian formalism including time-dependent electric and magnetic fields. These particles are characterized by a non-vanishing toroidal velocity. The introduction of the toroidal angle as independent variable instead of time allows one to derive a map of the poloidal plane onto itself, which is similar to the Poincare map of magnetic field lines. In time-dependent fields the energy of the particles is not conserved leading for two coupled maps, which is characteristic for autonomous systems with three degrees of freedom. As a result Arnold diffusion occurs and KAM surfaces, which in case of energy conservation separate stochastic regions in phase space, can be bypassed leading to enhanced radial transport of particles. The mechanism of enhanced transport is resonance streaming along resonance lines, which build-up the complex Arnold web. The structure of this web depends on this drift rotational transform of drift orbits and the toroidal transit time of passing particles. Numerical examples of Arnold diffusion of test particles will be given.

Additional information

Authors: WOBIG H< PFIRSCH D, Max-Planck-Institut fur Plasmaphysik, Garching bei Munchen (DE)
Bibliographic Reference: Report: IPP III/245 (1999), 26pp.
Availability: Available from the Librarian, Max-Planck-Institut fur Plasmaphysik, Garching bei Munchen (DE)
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