Diffusion of magnetic field lines in a confined RFP plasma |
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Authors: | A Bazzani A DI Sebastiano G Turchetti |
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Institution: | (1) Dipartimento di Fisica, INFN, Sezione di Bologna, Via Irnerio 46, 40126 Bologna, Italy;(2) Dipartimento di Matematica, Piazza di Porta S., 40126 Donato, Bologna, Italy;(3) Laboratorio di Tecnologie dei Materiali, Via di Barbiana 1/10, 40126 Bologna, Italy |
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Abstract: | Summary A volume-preserving symplectic map is proposed to describe the magnetic field lines when the Taylor equilibriumis perturbed
in a generic way. The standard scenario is observed by varying the perturbation strength, but the statistical properties in
the chaotic regions are not simple due to the presence of boundaries and remnants of invariant structures. Simpler models
of volume-preserving maps are proposed. The slowly modulated standard map captures the basic topological and statistical features.
The diffusion is analytically described for large perturbations (above the break-up of the last KAM torus) in terms of correlation
functions and for small perturbations using the adiabatic theory, provided that the modulation is sufficiently slow. |
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Keywords: | PACS 03" target="_blank">PACS 03 20 Classical mechanics of discrete systems: general mathematical aspects |
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