D. Lyndenbell, MAGNETIC COLLIMATION BY ACCRETION DISCS OF QUASARS AND STARS, Monthly Notices of the Royal Astronomical Society, 279(2), 1996, pp. 389-401
After an historical introduction on the relationships between quasars,
accretion discs and jets, the paper concentrates on the problem of co
llimation. When the central upward magnetic flux from an accretion dis
c is twisted relative to the returning downward flux, the force-free f
ield splays out at a semi-angle of 60 degrees and all the flux reaches
out to infinity after only half a turn. However, when the accretion d
isc itself lies within a medium with an ambient pressure the field can
not splay out in this way because too much work is needed to push the
medium away. Whereas the field initially splays out, it ceases to do s
o when B-2/8 pi balances the ambient pressure. Thereafter it assumes a
vertical cylindrical geometry in which each additional twist of the f
ield produces an equal increment in the height of the cylinder. After
many twists the pitch of the field becomes no greater but the cylinder
becomes very tall and thin. It is suggested that these structures are
the collimators that lead to the remarkably narrow jets seen in quasa
rs and radio galaxies, and associated with the accretion discs of youn
g stars leading to Herbig-Haro objects, etc. Taken to the extreme, the
jets are primarily these growing towers of twisted magnetic field tog
ether with the currents that they carry, A simple analytic model of su
ch a cylindrical tower is built from force-free fields and it is shown
to have the properties of a stabilized pinch. A modification demonstr
ates how dynamical expansion will affect the model.