Magnetic Jets from Swirling Disks
D. Lynden-Bell
Abstract
A broad swathe of astrophysical phenomena, ranging from tubular planetary nebulae through Herbig-Haro objects, radio-galaxy and quasar emissions to gamma-ray bursts and perhaps high-energy cosmic rays, may be driven by magnetically-dominated jets emanating from accretion disks. We give a self-contained account of the analytic theory of non-relativistic magnetically dominated jets wound up by a swirling disk and making a magnetic cavity in a background medium of any prescribed pressure, p(z). We solve the time-dependent problem for any specified distribution of magnetic flux P(R,0) emerging from the disk at z=0, with any specified disk angular velocity Omegad(R). The physics required to do this involves only the freezing of the lines of force to the conducting medium and the principle of minimum energy.
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