Abstract
The hamiltonian equations for magnetic field lines in a toroidal plasma are derived from a variational principle; we find an equation for critical fluctuations ▪ n by assuming a marginal overlap of adjacent resonances throughout the small cross section for the torus. Comparison with the flux surfaces of JET as obtained from a static equilibrium code leads to critical fluctuations of the order of δB crit ≲ B p x10 −4 for n ≳ 10, where B p is the poloidal equilibrium field. Finally, we solve the equations for magnetic field lines in the case of a set of nested flux surfaces perturbed by critical fluctuations; the picture of a completely destroyed torus has been verified with a stochasticity parameter √3, but no stable integration scheme for a stochastic magnetic line has been found.
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