On the MHD load and the MHD metage

Details On the MHD load and the MHD metage On the MHD load and the MHD metage

2007-04-26

arxiv.org/abs/0704.3482v1

Phys. Plasmas 15, 012112 (2008)

Physics

Plasma Physics

Some issues in the paper are yet to be addressed. Constructive critisicms are most welcome

Scientific paper

In analogy with the load and the metage in hydrodynamics, we define magnetohydrodynamic load and magnetohydrodynamic metage in the case of magnetofluids. They can be used to write the magnetic field in MHD in Clebsch's form. We show how these two concepts can be utilised to derive the magnetic analogue of the Ertel's theorem and also, how in the presence of non-trivial topology of the magnetic field in the magnetofluid one may associate the linking number of the magnetic field lines with the invariant MHD loads. The paper illustrates that the symmetry translation of the MHD metage in the corresponding label space generates the conservation of cross helicity.

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