Hydromagnetic flows from rapidly rotating compact objects. II - The relativistic axisymmetric jet equilibrium

Details Hydromagnetic flows from rapidly rotating compact objects. II - The relativistic axisymmetric jet equilibrium Hydromagnetic flows from rapidly rotating compact objects. II - The relativistic axisymmetric jet equilibrium

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...184..341c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 184, no. 1-2, Oct. 1987, p. 341-360.

Astronomy and Astrophysics

Astronomy

119

Accretion Disks, Axisymmetric Flow, Magnetohydrodynamic Flow, Plasma Equilibrium, Plasma Jets, Relativistic Plasmas, Rotating Bodies, Angular Velocity, Astronomical Models, Black Holes (Astronomy), Conservation Laws, Equilibrium Flow

Scientific paper

The theory and the numerical methods for the treatment of the relativistic and axisymmetric magnetohydrodynamic jet equilibrium are developed. This leads to a nonlinear system consisting of a quasilinear partial differential equation for the magnetic flux function and an algebraic wind equation for the poloidal velocity of the plasma. The relativistic Grad-Schlueter-Shafranov equation is solved with the method of finite elements on a grid scaled by the light cylinder radius. Particular attention is paid to the formulation of the appropriate boundary conditions. Since the grid has to follow the shape of the Alfven surface, the nodal points have to be redistributed iteratively. The hot wind equation for adiabatic ion flows is transformed to a polynomial of degree 16 in the poloidal velocity. The values of the equilibrium parameters for galactic and extragalactic objects are discussed. Preliminary results of the modeling of low-density plasma flows are presented for the case of a rapidly rotating magnetosphere of a compact object in interaction with an accretion disk. The asymptotic plasma flow can reach Lorentz factors in the range of gamma between the values of 1 and 5.

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