Pankin - ICTP
Pankin - ICTP
Pankin - ICTP
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Initial Equilibrium State<br />
Axisymmetric disk and corona<br />
Kepler differential flow profile: Ω=Ω 0 (r/r 0 ) –3/2<br />
Self-consistent equilibrium with finite pressure and g appropriate to a central object<br />
(modified to remove singularity)<br />
Isothermal equation of state: γ = 1, p=c s 2 ρ with cs constant<br />
Barotropic equation of state: p = p(ρ)<br />
Bipolar potential magnetic field: J×B=0<br />
The initial B z is chosen to minimize force imbalance when the coupling between the<br />
disk and corona is included<br />
Equilibrium state is found as a balance between pressure, gravity and centrifugal<br />
force<br />
For p = constant at z = 0,<br />
max(M a )=1, max(M b )≡v 0 /v A