Helicity fluctuation, generation of linking number and effect on resistivity

Physics – Plasma Physics

Scientific paper

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Work presented at the IAEA Fusion Energy Conference (Chengdu, China, 2006)

Scientific paper

The energy of the stochastic magnetic field is bounded from below by a topological quantity expressing the degree of linkage of the field lines. When the bound is saturated one can assume that the storage of a certain magnetic energy requires a minimal degree of topological complexity. It is then possible to infer a connection between the helicity content and the average curvature of the magnetic field lines. The random curvature induce random drifts leading to an additional dissipation and modified resistivity.

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