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Stochastic stability of a plasma torus
Institution:1. Institut für Theoretische Physik, Ruhr-Universität, D-4630 Bochum, FRG;2. JET Joint Undertaking, Abingdon, Oxon OX14 3EA, UK
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
></figure><sub><em>n</em></sub> 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 <em>δB</em><sub>crit</sub> ≲ <em>B</em><sub>p</sub><em>x</em>10<sup>−4</sup> for <em>n</em> ≳ 10, where <em>B</em><sub>p</sub> 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.</td>
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