Effect of a helical magnetic field on the stability of a gravitating cylinder

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Cylindrical Bodies, Gravitational Fields, Interstellar Magnetic Fields, Magnetic Field Configurations, Spiral Galaxies, Boundary Value Problems, Galactic Structure, Magnetic Effects, Perturbation Theory, Stability

Scientific paper

The effect of a helical magnetic field on the stability of an infinitely conducting, inviscid, incompressible and self-gravitating cylinder is investigated for axisymmetric perturbations. Calculations are extensions of investigations by Trehan and Reid (1958) and Trehan and Singh (1978) to include the self-gravitational forces. Numerical solutions are derived for the roots of the dispersion relation, and the stability parameter is plotted against the nondimensional wave number for a given magnetic field (H-asterisk = 0.025). The configuration is monotonically unstable for wavenumbers with less than a critical value, and critical wavenumber and growth rates are suppressed by increase in the helicity of the field. The ambient magnetic field has a stabilizing effect, and it is concluded that helical magnetic fields improve the stability of an infinite cylindrical configuration over a uniform axial magnetic field.

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