Toroidal linear force-free magnetic fields with axial symmetry

Stability of magnetic configurations containing the toroidal and axial fields

Stability properties of magnetic-field configurations containing the toroidal and axial field are considered. The stability is treated by making use of linear analysis. It is shown that the conditions required for the onset of instability are essentially different from those given by the necessary condition d(sBφ)/ds > 0, where s is the cylindrical radius. The growth rate of instability is calc...

Knotted linear force-free magnetic fields- topological sspects

The problem of computing linear force-free magnetic fields on a knotted multiply-connected domain is considered. The domain is the support of the current distribution, and the linear force-free fieldproblem reduces to finding an eigenfield of a self-adjoint curl operator. In this context, the GKN Theorem is reformulated in terms of symplectic geometry in order to characterize the self-adjoint e...

Reconstruction of Solar Coronal Linear Force-Free Magnetic Field

Accretion Discs with Strong Toroidal Magnetic Fields

Simulations and analytic arguments suggest that the turbulence driven by magnetorotational instability (MRI) in accretion discs can amplify the toroidal (azimuthal) component of the magnetic field to a point at which magnetic pressure exceeds the combined gas + radiation pressure in the disc. Arguing from the recent analysis by Pessah and Psaltis, and other MRI results in the literature, we con...

reconstruction of solar coronal linear force-free magnetic field