5. Discussion

5.4 Hydrodynamic Stability

Repeated local simulations have failed to find any evidence for a purely hydrodynamic local nonlinear instability. The absence of magnetic fields has always resulted in the decay of any imposed turbulence, leading to the conclusion that there is no turbulent $\alpha$ in unmagnetized disks. While there are known global instabilities in hydrodynamic disks such as the Papaloizou-Pringle instability, or local violations of the Høiland criteria, the circumstances under which these manifest themselves are known, and these instabilities are unlikely to be generally significant.

As a control a hydrodynamic cylindrical disk is computed. This disk begins with a Keplerian disk that is MHD turbulent. The simulation consists of turning off the magnetic forces and following the subsequent hydrodynamic evolution. The outcome is straightforward: the disk turbulence dies out promptly. All vertical structure decays away and the disk becomes two dimensional. Global spiral waves continue to propagate, but their amplitudes are reduced from those seen with active MHD, particularly for larger azimuthal wavenumbers.


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