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Spatial Damping of Compressional MHD Waves in Prominences  

K.A.P. Singh   Submitted: 2007-06-18 02:31

Aims. We study the spatial damping of linear compressional MHD waves in a homogenoeous, isothermal and unbounded prominence. Methods. We derive a general dispersion relation invoking the Newtonian radiation and turbulent viscosity. The turbulent viscosity is derived from SUMER and CDS observations for Kraichnan and Kolmogorov turbulence. Since we are interested in the spatial damping, the dispersion relation is solved numerically considering w as real and k as complex corresponding to slow, fast and thermal modes. Results. Both the slow and fast modes show strong damping while thermal mode is absent. The turbulent viscosity derived from observations can be a viable mechanism for the spatial damping of slow and fast modes. For a wave period of 1s, the damping length of slow and fast mode is found to be 1.1*(102) km for Kolmogorov turbulence.Correspondingly, the damping length of slow modes is 1.3* (101) km and for fast modes it is 1.9*(102) km for the Kraichnan turbulence. From the damping length study of slow modes it is found that Kraichnan turbulence dominates for short wave periods between 10-7 to 102 s and the Kolmogorov turbulence dominates for longer wave periods between 103 to 105 s. From the damping length of fast modes, it is found that the Kraichnan turbulence dominates from very short to long wave periods. Conclusions. The Kraichnan and Kolmogorov turbulence can be a viable damping mechanism for the spatial damping of short period oscillations. In particular, short- period oscillations (5-15 min) observed in quiescent limb prominences, which seem to be due to internal fundamental slow modes, have damping lengths in the range 1.9*(103) km - 3.7*(103) km for Kolmogorov turbulence and 3.5*(103)- 3.1*(104) km for Kraichnan turbulence. Correspondingly, for fast modes the damping length is in the range 2.6*(105) km - 2.3*(106) km for Kolmogorov turbulence and 1.7*(107) km -1.5*(108) km for Kraichnan turbulence. This study underlies the importance of turbulent viscosity to explain the damping of both slow and fast modes which was, hitherto, unexplored.

Authors: K.A.P. Singh, B.N. Dwivedi and S.S. Hasan

Publication Status: accepted for publication in Astron.Astrophys.
Last Modified: 2007-06-20 08:48
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