On the hydromagnetic stability of a class of laminated force-free magnetic fields

Details On the hydromagnetic stability of a class of laminated force-free magnetic fields On the hydromagnetic stability of a class of laminated force-free magnetic fields

Jul 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...330..992l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 330, July 15, 1988, p. 992-996.

Statistics

Computation

21

Computational Astrophysics, Force-Free Magnetic Fields, Interstellar Magnetic Fields, Magnetohydrodynamic Stability, Stellar Magnetic Fields, Cartesian Coordinates, Magnetic Field Configurations

Scientific paper

Chang and Carovillano (1981) pointed out the existence of two classes of nonlinear force-free magnetic fields varying with three spatial dimensions which can be described analytically. In this paper, it is established by a general proof using the energy principle that one of these two classes of fields, in which all lines of force lie on parallel planes with the field pattern varying from plane to plane, are all stable to linear perturbations in the ideal hydromagnetic approximation. Laminated fields are derived which provide an excellent opportunity to study the propagation of small-amplitude hydromagnetic waves in a three-dimensional inhomogeneous magnetized medium.

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