Magnetohydrodynamic Equilibrium - Part Four - Nonequilibrium of Nonsymmetric Hydrodynamic Topologies

Details Magnetohydrodynamic Equilibrium - Part Four - Nonequilibrium of Nonsymmetric Hydrodynamic Topologies Magnetohydrodynamic Equilibrium - Part Four - Nonequilibrium of Nonsymmetric Hydrodynamic Topologies

Aug 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...259..832t&link_type=abstract

Astrophysical Journal, Vol. 259, P. 832, 1982

Mathematics

Logic

38

Scientific paper

It is shown that when the magnetic field and the fluid motions in an ideal magnetofluid have a translational symmetry then, apart from isolated topologies, invariance along this principal direction of the fields is a necessary condition for magnetohydrodynamic equilibrium. In well-behaved field topologies lacking this invariance, nonequilibrium is the result. This theorem is analogous to the well-established Taylor-Proudman theorem in fluid dynamics and runs parallel to Parker's theorem for the necessary conditions for equilibrium in magnetostatics. It appears then that topological nonequilibrium may indeed be the basis for the continuous activity of the variable hydromagnetic fields in the universe.

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