Hydrodynamic Stability and Magnetic Reconnection in Disks and Stars

Physics – Plasma Physics

Scientific paper

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Accretion Disks, Astrophysics, Magnetic Field Reconnection, Internal Waves, Magnetohydrodynamic Stability, Boundary Conditions, Plasma Physics, Tidal Waves, Rotating Disks

Scientific paper

The PI further explored an m = 1 internal-wave instability of accretion disks that he had previously discovered. In brief, tidal distortions of the disk destabilize internal waves -- nearly incompressible disturbances whose wavelength is comparable to the disk thickness or smaller. These waves require either a radial gradient in specific angular momentum, or a vertical gradient in entropy or molecular weight; both gradients should be of a sign that normally makes for stable oscillations, but nevertheless these waves are parametrically destabilized by tides. It had been shown earlier by Vishniac & Diamond that m = 1 internal waves may transport angular momentum radially through the disk, but a robust mechanism for exciting the waves had been lacking. Previous research pointed out that since other processes may also transport angular momentum, the parametric internal-wave instability may be most important in limiting the outer radius of the disk, because tidal excitation of the waves entails a retarding torque on the disk and a transfer of angular momentum to the companion. The process of magnetic reconnection is also of considerable importance to understanding many important astrophysical problems. In rotating accretion disks it provides a natural saturation limit to the Balbus Hawley instability. In order for reconnection to happen in a highly conducting plasma it is first necessary that a very thin current layer develop. The thinner the layer that is reached the faster the resulting reconnection. Any two dimensional reconnection problem can actually be broken into two parts, a global one and a local one. The global conditions provide a complete set of boundary conditions for the local problem of the physics in the reconnection layer. The purpose of this research is to understand a magnetic reconnection experiment being carried out at the plasma physics laboratory, the MRX. However, the test of the agreement of the analysis with the experiments will also be a test of how well we understand the reconnection phenomena in a real laboratory situation. In addition, it is hoped that detailed experimental probing of the layer itself will aid understanding of the general process of magnetic reconnection.

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