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Helicity fluctuation, generation of linking number and effect on resistivity

2006/12/28 by F. Spineanu, M. Vlad, Spineanu, F. +1
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #Plasma Physics (physics.plasm-ph) #Scientific Research and Discoveries #Space Physics (physics.space-ph) #Theoretical and Computational Physics #physics.plasm-ph #physics.space-ph

paper · pdf · doi:10.48550/arxiv.physics/0612248

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

arxiv created 2006/12/28 · openalex publication_date 2006/12/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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