Magnetized (“ real ”) Accretion Flows Roman Shcherbakov, 5 December, 2007
Specifics of Magnetized accretion Coulomb mean free path > size of the flow Proton gyroradius < size of the flow collisionless MHD (not full kinetic theory) collisionless MHD Plasma beta parameterMagnetization in the real flows, thus magnetic field is usually dynamically important
Spherical accretion. Problem
Spherical accretion. Setup Outer magnetization radius of influence of BH/NS – Compression maintains turbulence Balance between build-up and dissipation Externally supported Isotropic turbulence Supported by compression Non-Isotropic turbulence
Spherical accretion. Accretion rate Relativistic EOS Larger inhibition Larger magnetizaton Smaller accretion rate outer magnetization normalized accretion rate Larger back-reaction
Spherical accretion. Magnetization
Magnetorotational Instability
Evolution of MRI z
Transport of angular momentum Reynolds stress (>0) Maxwell stress (<0) Schwarz inequality Also Upper boundary for stress stress is important, angular momentum can go up and be carried away by wind
vs Kato, Yoshizawa, 1995PASJ K turbulent stress coefficient energy generation coefficient
Evolution of magnetization
Evolution of angular momentum alpha
Density contours CK Chan, 2007
Analytic closures Pessah, CK Chan 2007
Krolik, 2005
Hawley, Balbus 2002
Conclusions Magnetic field is an essential ingredient of ANY astrophysical flow Realistic accretion pattern is likely to be very complicated, outflows, jets Alpha parameter should at least be a function of radius, but apparently one parameter is not enough Zero torque condition at ISCO is not applicable Some analytic calculations, but progress is made through simulations