Magnetic field line flow as a Hamiltonian problem
- 1 December 1986
- journal article
- Published by IOP Publishing in Plasma Physics and Controlled Fusion
- Vol. 28 (12A) , 1743-1752
- https://doi.org/10.1088/0741-3335/28/12a/001
Abstract
The stochastic stability of a plasma torus with nested magnetic surfaces of arbitrary cross-section is investigated. The equations for field lines are put into Hamiltonian form, exhibiting both gauge and canonical symmetry. A careful application of Chirikov's (1979) overlap criterion leads to a formula for critical resonant fluctuations which should be valid for the whole cross-section and for arbitrary mode numbers m, n.Keywords
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