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Titel Flux quanta, magnetic field lines, merging – some sub-microscale relations of interest in space plasma physics
VerfasserIn R. A. Treumann, R. Nakamura, W. Baumjohann
Medientyp Artikel
Sprache Englisch
ISSN 0992-7689
Digitales Dokument URL
Erschienen In: Annales Geophysicae ; 29, no. 6 ; Nr. 29, no. 6 (2011-06-25), S.1121-1127
Datensatznummer 250017046
Publikation (Nr.) Volltext-Dokument vorhandencopernicus.org/angeo-29-1121-2011.pdf
 
Zusammenfassung
We clarify the notion of magnetic field lines in plasma by referring to sub-microscale (quantum mechanical) particle dynamics. It is demonstrated that magnetic field lines in a field of strength B carry single magnetic flux quanta Φ0=h/e. The radius of a field line in the given magnetic field B is calculated. It is shown that such field lines can merge and annihilate only over the length ℓ of their strictly anti-parallel sections, for which case we estimate the power generated. The length ℓ becomes a function of the inclination angle θ of the two merging magnetic flux tubes (field lines). Merging is possible only in the interval 12πθ≤π. This provides a sub-microscopic basis for "component reconnection" in classical macro-scale reconnection. We also find that the magnetic diffusion coefficient in plasma appears in quanta D0m=eΦ0/me=h/me. This lets us conclude that the bulk perpendicular plasma resistivity is limited and cannot be less than η0⊥0eΦ0/me0h/me~10−9 Ohm m. This resistance is an invariant.
 
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