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Session 2 - Everything Else.
Display session, Friday, June 27
Ballroom C, Chair: Richard Canfield

[2.33] Chromospheric Heating and the Excitation of Magnetic Tube Waves Through p-Mode Buffeting

B. W. Hindman (HAO/NCAR)

The dissipation of magnetic tube waves may be the primary source of energy in the thermal balance of the solar chromosphere and corona. In this paper, I compute an upper limit on the energy flux of tube waves that can be driven into the chromosphere if the waves are excited by buffeting of magnetic flux tubes by p--modes. In addition, I estimate the p--mode line widths which result from this transfer of energy from the modes to the flux tube waves. To obtain the upper limit, I assume that the solar magnetic field has a fibril structure consisting of a large set of well--separated, identical tubes. Each tube is axisymmetric, vertical and slender. I approximate the solar atmosphere with a truncated isentropic polytrope, chosen such that it's upper surface matches the \tau_5000=1 layer of the photospheric model of Maltby (1986). The response of the fibrils is described using the thin flux tube approximation, ignoring multiple scattering between the tubes, and assuming that the p--modes force the tubes incoherently. The effects of the region above the surface of the polytrope, where a flaring flux tube is poorly represented by the thin flux equations, are simulated through a boundary condition applied at the polytrope's surface. By varying this boundary condition the influence of any upper atmosphere can be reproduced. To compute an upper limit, I chose the boundary condition which optimizes the upward flux of waves. I find that the largest flux of tube waves that can be sent into chromosphere is 29 ergs cm^-2 s^-1 for a fibril field with a 1% filling factor. This flux is miniscule when compared to the energy flux necessary to heat the chromosphere or corona. Therefore, tube waves generated by the buffeting of magnetic fibrils by acoustic waves are inconsequential in the energy balance of the upper atmosphere. Furthermore, using the same boundary conditions, I find that the line width of a p--mode due to the absorption of that mode by the fibrils can be a significant fraction of the observed line widths

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