Statistics – Computation
Scientific paper
Mar 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994mnras.267..235l&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 267, no. 2, p. 235-240
Statistics
Computation
136
Accretion Disks, Interstellar Matter, Magnetic Diffusion, Magnetic Field Configurations, Stellar Magnetic Fields, Stellar Mass Accretion, Computational Astrophysics, Differential Equations, Integral Equations, Magnetohydrodynamics, Time Dependence
Scientific paper
We consider a thin accretion disc of half-thickness H, vertically threaded by a magnetic field. The field is due to contributions from both the disc current and an external current (giving rise to a uniform external field). We derive an integro-differential equation for the evolution of the magnetic field, subject to magnetic diffusivity eta and disc accretion with radial velocity nur. The evolution equation is solved numerically, and a steady state is reached. The evolution equation depends upon a single, dimensionless parameter D = 2 eta/(3 H absolute value of nur) = (R/H) (eta/v), where the latter equality holds for a viscous disc having viscosity v. At the disc surface, field lines are bent by angle i from the vertical, such that tan i = 1.52 D-1. For values of D somewhat less than unity, the field is strongly concentrated towards the disc center, because the field lines are dragged substantially inwards.
Lubow Stephen H.
Papaloizou John C. B.
Pringle James E.
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