Collisionless magnetic reconnection: Flux quanta, field lines, `composite electrons'  Is the quantumHall effect involved in its microscale physics?
Treumann, R. A., R. Nakamura, and W. Baumjohann (2011),
Collisionless magnetic reconnection: Flux quanta, field lines, `composite electrons'  Is the quantumHall effect involved in its microscale physics?,
arXiv:1103.1076v1 [physics.spaceph], 11 Journal pages.
 Abstract
 Submicroscopically, collisionless reconnection in thin current sheets is argued to involve `composite electrons' in the ion inertial (Hall current) domain, a tiny fraction of electrons only. These `composite electrons' are confined to lower Landau levels $\epsilon_L\ll T_e$ (energy much less than temperature). They demagnetise by absorbing magnetic flux quanta $\Phi_0=h/e$, decouple from the magnetic field, transport the attached magnetic flux into the nonmagnetic centre of the current layer, where they release the flux in the form of microscale magnetic vortices, becoming ordinary electrons. The newly born microscale magnetic vortices reconnect in their strictly antiparallel sections when contacting other vortices, ultimately producing the mesoscale reconnection structure. We clarify the notions of magnetic field lines and field line radius, estimate the power generated when two oppositely directed flux quanta annihilate, and calculate the number density and Landaulevel fillingfactor of `composite electrons' in the Hall domain. As side product we find that the magnetic diffusion coefficient in plasma also appears in quanta $D_0^m=e\Phi_0/m_e=h/m_e$, yielding that the bulk perpendicular plasma resistivity is quantised, with quantum (lowest limit) $\eta_{\,0\perp}=\mu_0 e\Phi_0/m_e=\mu_0h/m_e\sim 10^{9}$ Ohm m.
{Reconnection, thin current sheets, quantum Hall effect, quantised diffusivity, quantised plasma resistivity, composite electrons}
 Further information

 BibTeX

@article{id1614,
author = {R. A. Treumann and R. Nakamura and W. Baumjohann},
journal = {arXiv:1103.1076v1 [physics.spaceph]},
month = {nov},
note = {11 Journal pages},
title = {{Collisionless magnetic reconnection: Flux quanta, field lines, `composite electrons'  Is the quantumHall effect involved in its microscale physics?}},
year = {2011},
url = {http://arxiv.org/abs/1103.1076},
}
 EndNote

%0 Journal Article
%A Treumann, R. A.
%A Nakamura, R.
%A Baumjohann, W.
%D 2011
%J arXiv:1103.1076v1 [physics.spaceph]
%Z 11 Journal pages
%T Collisionless magnetic reconnection: Flux quanta, field lines, `composite electrons'  Is the quantumHall effect involved in its microscale physics?
%U http://arxiv.org/abs/1103.1076
%8 nov