Resonance instability of axially-symmetric magnetostatic equilibria
arXiv:1111.4040 · doi:10.1103/PhysRevE.84.056310
Abstract
We review the evidence for and against the possibility that a strong enough poloidal field stabilizes an axisymmetric magnetostatic field configuration. We show that there does exist a class of resonant MHD waves which produce instability for any value of the ratio of poloidal and toroidal field strength. We argue that recent investigations of the stability of mixed poloidal and toroidal field configurations based on 3-d numerical simulations, can miss this instability because of the very large azimuthal wave numbers involved and its resonant character.
7 pages, 5 figures, revtex4
References in corpus (6)
- On magnetic instabilities and dynamo action in stellar radiation zones
- On non-axisymmetric magnetic equilibria in stars
- Protoneutron star dynamos: pulsars, magnetars, and radio-silent X-ray emitting neutron stars
- Stability of magnetic configurations containing the toroidal and axial fields
- Non-axisymmetric instability of axisymmetric magnetic fields
- Generation of the magnetic field in jets
Cited by in corpus (13)
- Are there any stable magnetic fields in barotropic stars?
- Three-Dimensional Relativistic Magnetohydrodynamic Simulations of Current-Driven Instability. III. Rotating Relativistic Jets
- Linear stability analysis of magnetized relativistic jets: the nonrotating case
- Linear stability analysis of magnetized relativistic rotating jets
- Linear stability analysis of magnetized jets: the rotating case
- Breakdown of chiral symmetry during saturation of the Tayler instability
- Internal instabilities in magnetized jets
- Solar Dynamo and Toroidal Field Instabilities
- Rotational suppression of the Tayler instability in stellar radiation zones
- Stability of the toroidal magnetic field in rotating stars
- On the possibility of helicity oscillations in the saturation of the Tayler instability
- An overshoot solar dynamo with a strong return meridional flow
- Gravity's role in taming the Tayler instability in red giant cores