Study on the instability of accretion disks with anomalous viscosity

On the basis of hydrodynamic equations and the new anomalous viscosity, we numerically calculate the steady state of geometrically thin accretion disk around a black hole, including surface density, temperature and radial velocity distribution. We found the density distribution, especially in the inner region, is greatly different from the one with conventional α-viscosity. The stability of the accretion disks with anomalous viscosity is also examined. The results show that the Outward–moving mode is unstable, and the viscous mode is stable throughout the disk. The instability of the Inward–moving mode depends on the wavelength. The results show that the prescription of viscosity has some influence on the stability properties of the disk.