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Flux quanta, magnetic field lines, merging – some sub-microscale relations of interest in space plasma physics

Treumann, R. A., R. Nakamura, and W. Baumjohann (2011), Flux quanta, magnetic field lines, merging – some sub-microscale relations of interest in space plasma physics, Annales Geophysicae, 29, 1121-1127, doi:10.5194/angeo-29-1121-2011.

Abstract
Abstract. 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
\Phi_0 = 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 `k of their strictly
anti-parallel sections, for which case we estimate the power
generated. The length `k becomes a function of the inclination
angle  of the two merging magnetic flux tubes (field
lines). Merging is possible only in the interval (1/2)π <\theta<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 D^m_0 = e\Phi_0/m_e = h/m_e. This lets us conclude
that the bulk perpendicular plasma resistivity is limited
and cannot be less than \eta_{0\perp} =μ_0e\Phi_0/m_e =μ_0h/m_e 
10^{−9} Ohm m. This resistance is an invariant.

Keywords. Space plasma physics (Magnetic reconnection)
Further information
BibTeX
@article{id1689,
  author = {R. A. Treumann and R. Nakamura and W. Baumjohann},
  journal = {Annales Geophysicae},
  month = {jun},
  pages = {1121-1127},
  title = {{Flux quanta, magnetic field lines, merging {--} some sub-microscale relations of interest in space plasma physics}},
  volume = {29},
  year = {2011},
  url = {www.ann-geophys.net/29/1121/2011/},
  doi = {10.5194/angeo-29-1121-2011},
}
EndNote
%0 Journal Article
%A Treumann, R. A.
%A Nakamura, R.
%A Baumjohann, W.
%D 2011
%V 29
%J Annales Geophysicae
%P 1121-1127
%T Flux quanta, magnetic field lines, merging – some sub-microscale relations of interest in space plasma physics
%U www.ann-geophys.net/29/1121/2011/
%8 jun
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