Session KP01 - Poster Session III.
POSTER session, Tuesday afternoon, March 23
Exhibit Hall, GWCC
We consider the equilibrium of a gravitating plasma in dipole magnetic configuration. Such a problem may be of interest for the study of the physics of accretion disks and galaxy formation. We derive an analog of the Grad-Shafranov equation describing the equilibrium of a self-gravitating plasma in a dipole magnetic field. We demonstrate that in some particular cases the form of the equation allows us to find solutions for the magnetic flux in a self-similar form. We discuss the solutions of Grad-Shafranov equation for the case of both weakly and strongly gravitating plasmas. In the former case we use the solutions found in Ref. 1 for a non-gravitating finite pressure plasma equilibrium in a magnetic dipole as a zero-order approximation. [1] P. J. Catto, R. D. Hazeltine, and S. I. Krasheninnikov, submitted to PRL.