Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994mnras.271..197b&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Vol. 271, 197
Astronomy and Astrophysics
Astronomy
32
Scientific paper
In this paper, we relate dissipational processes in accretion discs to large-scale correlated fluctuations in the velocity and magnetic field components. The radial- azimuthal (R ) component of the correlation stress tensor for velocity and magnetic fluctuations is responsible for transport within the disc. Under steady conditions, the R component of the stress tensor scales with disc radius R and surface density as 1/(R312 ). This component of the stress tensor can also be related in a simple way to the local radiative flux density. This latter relation is observationally sensitive to surface irradiation, but the former scaling law is expected to be very robust. Both results are examples of fluctuation-dissipation relations for accretion discs. Eclipse mapping and Doppler tomography techniques in cataclysmic variables and X-ray binary systems may soon be able to test these types of theoretical predictions. Molecular viscosity serves only as an energy sink, not as a source of any turbulent transport, thermalizing the high-wavenumber end of the power spectrum. The same is true of microscopic resistivity with respect to magnetic field fluctuations. This implies that an explicit representation for the viscosity or resistivity is not essential for largescale numerical modelling of accretion disc turbulence. Key words: accretion, accretion discs - hydrodynamics - magnetic fields - turbulence.
Balbus Steven A.
Gammie Charles F.
Hawley John F.
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