Hall equilibrium of thin Keplerian disks embedded in mixed poloidal and toroidal magnetic fields

Details Hall equilibrium of thin Keplerian disks embedded in mixed poloidal and toroidal magnetic fields Hall equilibrium of thin Keplerian disks embedded in mixed poloidal and toroidal magnetic fields

2008-12-08

arxiv.org/abs/0812.1541v2

Astronomy and Astrophysics

Astrophysics

Scientific paper

Axisymmetric steady-state weakly ionized Hall-MHD Keplerian thin disks are investigated by using asymptotic expansions in the small disk aspect ratio \epsilon. The model incorporates the azimuthal and poloidal components of the magnetic fields in the leading order in \epsilon. The disk structure is described by an appropriate Grad-Shafranov equation for the poloidal flux function \psi that involves two arbitrary functions of \psi for the toroidal and poloidal currents. The flux function is symmetric about the midplane and satisfies certain boundary conditions at the near-horizontal disk edges. The boundary conditions model the combined effect of the primordial as well as the dipole-like magnetic fields. An analytical solution for the Hall equilibrium is achieved by further expanding the relevant equations in an additional small parameter \delta that is inversely proportional to the Hall parameter. It is thus found that the Hall equilibrium disks fall into two types: Keplerian disks with (i) small (Rd ~\delta^0) and (ii) large (Rd > \delta^k, k > 0) radius of the disk. The numerical examples that are presented demonstrate the richness and great variety of magnetic and density configurations that may be achieved under the Hall-MHD equilibrium.

Affiliated with

Also associated with

No associations

Rating

Hall equilibrium of thin Keplerian disks embedded in mixed poloidal and toroidal magnetic fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hall equilibrium of thin Keplerian disks embedded in mixed poloidal and toroidal magnetic fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hall equilibrium of thin Keplerian disks embedded in mixed poloidal and toroidal magnetic fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-319470