Flux and Field Line Conservation in 3-D Non-Ideal MHD Flows: Remarks About Criteria for 3-D Reconnection Without Magnetic Neutral Points and Their Application to the Heliospheric Interface |
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Authors: | D H Nickeler H-J Fahr |
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Institution: | (1) Institute for Astrophysics and Extraterrestrial Research, Auf dem Hügel 71, 53121 Bonn, Germany;(2) Present address: Astronomical Institute AV CR, Fricova 298, 25165 Ondrejov, Czech Republic |
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Abstract: | In this paper, we address the issue of finding velocity fields which conserve magnetic flux or at least magnetic fieldline
connectivity. We start from the basic principles of flux and line conservation and present and discuss the criterion, given
by Newcomb (1958), Stern (1966), and Vasyliunas (1972). In addition, we find a new formulation of the line-conserving velocity
field by solving the system of partial differential equations which corresponds to Newcomb's criterion for line conservation.
This velocity field is given by a correlation between the non-idealness, described by a generalized form of the Ohm's law
and a general transporting velocity, which is fieldline conserving. Our considerations give additional insights into the discussion
on violations of the frozen-in field concept which started recently with the papers by Baranov and Fahr (2003a,b). These authors
analyzed a generalized form of Ohm's law, which is valid for the heliosphere and claimed that the transport velocity for the
magnetic flux may be different from the plasma velocity. We can show that the non-idealness given in the paper by Baranov
and Fahr could not change the magnetic topology and can therefore not be responsible for magnetic reconnection. But we found
that it is in general not clear if the flux-conserving velocity field is identical to the plasma flow or to any species velocity
field. |
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