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Viscous Damping of Non-Adiabatic MHD Waves in an Unbounded Solar Coronal Plasma

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Abstract

The damping of MHD waves in solar coronal magnetic field is studied taking into account thermal conduction and compressive viscosity as dissipative mechanisms. We consider viscous homogeneous unbounded solar coronal plasma permeated by a uniform magnetic field. A general fifth-order dispersion relation for MHD waves has been derived and solved numerically for different solar coronal regimes. The dispersion relation results three wave modes: slow, fast, and thermal modes. Damping time and damping per periods for slow- and fast-mode waves determined from dispersion relation show that the slow-mode waves are heavily damped in comparison with fast-mode waves in prominences, prominence–corona transition regions (PCTR), and corona. In PCTRs and coronal active regions, wave instabilities appear for considered heating mechanisms. For same heating mechanisms in different prominences the behavior of damping time and damping per period changes significantly from small to large wavenumbers. In all PCTRs and corona, damping time always decreases linearly with increase in wavenumber indicate sharp damping of slow- and fast-mode waves.

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References

  1. Aschwanden, M., Fletcher, L. Schrijver, C.J., and Alexander, D.: 1999, Astrophys. J. 520, 880.

  2. Banerjee, D., O'Shea, E., Doyle, J.G., and Goossens, M.: 2001, Astron. Astrophys. 380, L39.

  3. Berghmans, D. and Clette, F.: 1999, Solar Phys. 186, 207.

  4. Cox, D.P. and Tucker, W.H.: 1969, Astrophys. J. 157, 1157.

  5. Dahlburg, R.B. and Mariska, J.T.: 1988, Solar Phys. 117, 511.

  6. DeForest, C.E. and Gurman, J.B.: 1998, Astrophys. J. 501, L217.

  7. DeMoortel, I. and Hood, A.W.: 2003, Astron. Astrophys. 408, 755.

  8. DeMoortel, I., Ireland, J., and Walsh, R.W.: 2000, Astron. Astrophys. 355, L23.

  9. Engvold, O.: 2001, in: J.L. Ballester and B. Roberts (eds.), INTAS Workshop on MHD Waves in Astrophysical Plasmas, Universitat de les Illes Balears, Spain.

  10. Field, G.B.: 1965, Astrophys. J. 142, 531.

  11. Golub, L., Herant, M., Kalata, K., Lovas, I., Nystrom, G., Pardo, F., Spiller, E., and Wilczynski, J.: 1990, Nature 344, 842.

  12. Hildner, E.: 1974, Solar Phys. 35, 123.

  13. Hollweg, J.V.: 1981, Solar Phys. 70, 25.

  14. Kumar, N., Kumar, P., and Singh, S.: 2006, in press, Astron. Astrophys.

  15. McWhirter, R.W.P., Thoneman, P.C., and Wilson, R.: 1975, Astron. Astrophys. 40, 63.

  16. Milne, A.M., Priest, E.R., and Roberts, B.: 1979, Astrophys. J. 232, 304.

  17. Molowny-Horas, R., Wiehr, E., Balthasar, H., Oliver, R., and Ballester, J.L.: 1999, in: A. Antalva, H. Balthasar, and A. Kucera (eds.), JOSO Annual Report ‘98’, Astronomical Institute Tatranska Lomnica, 126.

  18. Nakariakov, V.M.: 2003, in: B.N. Dwievedi (ed.), Dynamic Sun, Cambridge University Press, Cambridge, p. 314.

  19. Nakariakov, V.M. and Verwichte, E.: 2005, Living Rev. Solar Phys. 2, 3. (http://www.livingreviews.org/lrsp-2005-3).

  20. Nakariakov, V.M., Ofman, L., Deluca, E., Roberts, B., and Davila, J.M.: 1999, Science 285, 862.

  21. Nakariakov, V.M., Verwichte, E., Berghmans, D., and Robbrecht, E.: 2000, Astron. Astrophys. 362, 1151.

  22. Ofman, L., Nakariakov, V.M., and DeForest, C.E.: 1999, Astrophys. J. 514, 441.

  23. Ofman, L., Romoli, M., Poletto, G., Noci, C., and Kohl, J.L.: 1997, Astrophys. J. 491, L111.

  24. Ofman, L., Romoli, M., Poletto, G., Noci, C., and Kohl, J.L.: 2000, Astrophys. J. 529, 592.

  25. Oliver, R. and Ballester, J.L.: 1995, Astrophys. J. 448, 444.

  26. Oliver, R., Ballester, J.L., Hood, A.W., and Priest, E.R.: 1992, Astrophys. J. 400, 369.

  27. Oliver, R., Ballester, J.L., Hood, A.W., and Priest, E.R.: 1993, Astrophys. J. 409, 809.

  28. Parker, E.R.: 1988, Astrophys. J. 330, 474.

  29. Robbrecht, E., Verwichte, E. Berghmans, D., Hochedez, J.F., Poedts, S., and Nakariakov, V.M.: 2001, Astron. Astrophys. 370, 591.

  30. Rosner, R., Tucker, W.H., and Vaiana, G.S.: 1978, Astrophys. J. 220, 643.

  31. Ruderman, M.S., Verwichte, E., Erdelyi, R., and Goossens, M.: 1996, J. Plasma Phys. 56, 285.

  32. Terradas, J., Molowny-Horas, R., Wiehr, E., Balthasar, H., Oliver, R., and Ballester, J.L.: 2002, Astron. Astrophys. 393, 637.

  33. Terradas, J., Oliver, R., and Ballester, J.L.: 2001, Astron. Astrophys. 378, 635.

  34. Vesecky, J.F., Antiochos, S.K., and Underwood, J.H.: 1979, Astrophys. J. 233, 987.

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Correspondence to Nagendra Kumar.

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Kumar, N., Kumar, P. Viscous Damping of Non-Adiabatic MHD Waves in an Unbounded Solar Coronal Plasma. Sol Phys 236, 137–153 (2006). https://doi.org/10.1007/s11207-006-0128-z

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Keywords

  • Dispersion Relation
  • Slow Wave
  • Solar Phys
  • Coronal Loop
  • Fast Wave