The covariant transport of electromagnetic fields and its relation to magnetohydrodynamics

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.872161· OSTI ID:467302

Hornig, G ^[1]

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1. Theoretische Physik IV, Ruhr-Universitaet Bochum, 44780 Bochum (Germany)

Ohm`s law in ideal magnetohydrodynamics (MHD) leads to an induction equation which can be interpreted in terms of magnetic flux being transported by the plasma flow. It is shown that this frozen-in condition is the non-relativistic limit of a corresponding relativistic condition for the electromagnetic field tensor. Several invariants for this type of transport are analyzed. The relativistic formulation also includes a broader class of transporting flows, which may differ from the plasma flow. A classification and interpretation of these transporting flows is given and it is shown that the corresponding evolutions of the electromagnetic field also includes cases of non-ideal MHD evolution. Thus it is possible to find invariants in non-ideal MHD similar to the magnetic flux for ideal plasma flows. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 467302
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 4; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DATA COVARIANCES
ELECTROMAGNETIC FIELDS
ELECTROMAGNETIC RADIATION
MAGNETIC FLUX
MAGNETOHYDRODYNAMICS
MHD EQUILIBRIUM
OHM LAW
PLASMA
RADIATION TRANSPORT