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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.
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K. Elsässer (1986) studied this question.
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