Abstract
Considerable progress has recently been made in the exploration of oscillations in the corona. A variety of local wave phenomena have been detected in coronal loops and polar plumes (as well as in prominences and globally in the corona). Timescales ranging from seconds to tens of minutes have been found. Here we review the theoretical developments that have been used to interpret the properties of observed oscillations in coronal loops and plumes. Magnetohydrodynamic theory is found to give a good description of the waves. Both standing and impulsively excited waves are invoked. The enigmatic rapid damping of the observed oscillations is discussed, with theoretical explanations in terms of resonant absorption, phase mixing or enhanced viscosity examined.
Coronal oscillations provide an invaluable means of better understanding the corona, giving rise to the new field of coronal seismology.
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References
Aschwanden, M. J.: 1987. Solar Phys. 111, 113.
Aschwanden, M. J.: 2003. ‘Review of coronal oscillations — An observer’s view’. These proceedings.
Aschwanden, M. J., Fletcher, L., Schrijver, C. J. and Alexander, D.: 1999. Astrophys. J. 520, 880.
Aschwanden, M. J., Schrijver, C. J. and Alexander, D.: 2001. Astrophys. J. 550, 1036.
Aschwanden, M. J., Schrijver, C. J., De Pontieu, B. and Title, A. M.: 2002. Solar Phys. 206, 99.
Ballai, I, Erdélyi, R. and Roberts, B.: 2002. Annales Geophysicae 20, 1553.
Ballai, I, Erdélyi, R., Voitenko, Y. and Goossens, M.: 2002. Phys. Plasmas 9, 2593.
Banerjee, D., Teriaca, L., Doyle, J. G. and Wilhelm, K.: 1998. Astron. Astrophys. 339, 208.
Berghmans, D. and Clette, F.: 1999. Solar Phys. 186, 207.
Bray, R. J., Cram, L. E., Durrant, C. J. and Loughhead, R. E.: 1991. Plasma Loops in the Solar Corona, Cambridge University Press, Cambridge.
Cally, P. S.: 1986. Solar Phys. 103, 27.
Cooper, F. C., Nakariakov, V. M. and Tsiklauri, D.: 2003. Astron. Astrophys. 397, 765.
Csik, A., Erdélyi, R. and Cadez, V. M.: 1997. Solar Phys. 172, 61.
DeForest, C. E. and Gurman, J. B.: 1998. Astrophys. J. 501, L217.
Defouw, R. J.: 1976. Astrophys. J. 209, 266.
De Moortel, I., Hood, A. W. and Ireland, J.: 2002. Astron. Astrophys. 381, 311.
De Moortel, I., Hood, A. W., Ireland, J. and Walsh, R. W.: 2002a. Solar Phys. 209, 89.
De Moortel, I., Ireland, J., Hood, A. W. and Walsh, R. W.: 2002b. Astron. Astrophys. 387, L13.
De Moortel, I., Ireland, J. and Walsh, R. W.: 2000. Astron. Astrophys. 355, L23.
De Moortel, I., Ireland, J., Walsh, R. W. and Hood, A. W.: 2002c. Solar Phys. 209, 61.
De Pontieu, B., Martens, P. C. and Hudson, H. S.: 2001. Astrophys. J. 558, 859.
Edwin, P. M. and Roberts, B.: 1982. Solar Phys. 76, 239.
Edwin, P. M. and Roberts, B.: 1983. Solar Phys. 88, 179.
Erdélyi, R.: 2003. ‘Review of coronal heating’. These proceedings.
Erdélyi, R. and Ballai, I.: 1999. Solar Phys. 186, 67.
Goedbloed, J. P.: 1983. Lecture Notes in Magnetohydrodynamics, Rijnhuizen Report 83-145, Assoc. Euratom — FOM, pp. 289.
Goossens, M.: 1991, ‘Magnetohydrodynamic waves and wave heating in nonuniform plasmas’. In E. R. Priest and A. W. Hood (eds.): Advances in Solar System Magnetohydrodynamics. Cambridge University Press, Cambridge, p. 137.
Goossens, M., Andries, J. and Aschwanden, M. J.: 2002. Astron. Astrophys. 394, L39.
Goossens, M., De Groof, A. and Andries, J.: 2002. In Proc. SOLMAG: Magnetic Coupling of the Solar Atmosphere Euroconference and IAU Colloq. 188, ESA SP-505 (ed. H. Sawaya-Lacoste) Santorini, p. 137.
Goossens, M., Hollweg, J. V. and Sakurai, T.: 1992. Solar Phys. 138, 233.
Heyvaerts, J. and Priest, E. R.: 1983. Astron. Astrophys. 117, 220.
Hollweg, J. V.: 1971. J. Geophys. Res. 76, 5155.
Hollweg, J. V. and Yang, G.: 1988. J. Geophysical Res. 93, 5423.
Hood, A. W., Brooks, S. J. and Wright, A. N.: 2002. Proc. Roy. Soc. Lond. A 458, 2307.
Kliem, B., Dammasch, I. E., Curdt, W. and Wilhelm, K.: 2002. Astrophys. J. 568, L61.
Kruskal, M. and Schwarzschild, M.: 1954. Proc. Roy. Soc. (London) A223, 348.
Malara, F., Petkaki, P. and Veltri, P.: 2000. Astrophys. J. 533, 523.
McKenzie, J. F.: 1970. J. Geophys. Res., Space Phys. 75, 5331.
Miles, A. J. and Roberts, B.: 1989. Solar Phys. 119, 257.
Murawski, K., Nakariakov, V. M. and Pelinovsky, E. N.: 2001. Astron. Astrophys. 366, 306.
Nakariakov, V. M.: 2003. ‘Coronal oscillations’. In: B. Dwivedi (ed.): Dynamic Sun, Cambridge University Press, Cambridge, p. 314.
Nakariakov, V. M. and Ofman, L.: 2001. Astron. Astrophys. 372, L53.
Nakariakov V. M., Ofman, L. and Arber, T. D.: 2000. Astron. Astrophys. 353, 741.
Nakariakov, V. M., Ofman, L., DeLuca, E. E., Roberts, B. and Davila, J. M.: 1999. Sci. 285, 862.
Nakariakov, V. M. and Oraevsky, V. N.: 1995. Solar Phys. 158, 29.
Nakariakov, V. M. and Roberts, B.: 1995a. Solar Phys. 159, 213.
Nakariakov, V. M. and Roberts, B.: 1995b. Solar Phys. 159, 399.
Nakariakov, V. M., Roberts, B. and Murawski, K.: 1998. Astron. Astrophys. 332, 795
Nakariakov, V. M., Verwichte, E., Berghmans, D. and Robbrecht, E.: 2000. Astron. Astrophys. 362, 1151.
Ofman, L.: 2002. Astrophys. J. 568, L135.
Ofman, L. and Aschwanden, M. J.: 2002. Astrophys. J. 576, L153.
Ofman, L., Nakariakov, V. M. and DeForest, C. E.: 1999. Astrophys. J. 514, 441.
Ofman, L., Nakariakov, V. M. and Sehgal, N.: 2000. Astrophys. J. 533, 1071.
Ofman, L., Romoli, M., Poletto, G., Noci, G. and Kohl, J. L.: 1997. Astrophys. J. 491, L111.
Ofman, L. and Wang, T. J.: 2002. Astrophys. J. 580, L85.
Parker, E. N.: 1979. Cosmical Magnetic Fields, Clarendon Press, Oxford, Sect. 8.10.
Parker, E.N.: 1991. Astrophys. J. 376, 355.
Pasachoff, J.M. and Ladd, E. F.: 1987. Solar Phys. 109, 365.
Pasachoff, J. M., Babcock, B. A., Russell, K. D. and Seaton, D. B.: 2002. Solar Phys. 207, 241.
Poedts, S.: 2002. In Proc. SOLMAG: Magnetic Coupling of the Solar Atmosphere Euroconference and IAU Colloq. 188, ESA SP-505 (ed. H. Sawaya-Lacoste), Santorini, p. 273.
Porter L. J., Klimchuk J. A. and Sturrock P. A.: 1994. Astrophys. J. 435, 482.
Robbrecht, E., Verwichte, E., Berghmans, D., Hochedez, J. F., Poedts, S. and Nakariakov, V. M.: 2001. Astron. Astrophys. 370, 591.
Roberts, B.: 1981a. Solar Phys. 69, 27.
Roberts, B.: 1981b. Solar Phys. 69, 39.
Roberts, B.: 1984. ‘Waves in inhomogeneous media’. In: The Hydromagnetics of the Sun. ESA SP-220, p. 137.
Roberts, B.: 1985. In E. R. Priest (ed.): Solar System Magnetic Fields, Reidel, Dordrecht, p. 37.
Roberts, B.: 1986. In A. Poland (ed.): Coronal and Prominence Plasmas, NASA Conf. Publ. 2442, p. 325.
Roberts, B.: 1991. ‘Magnetohydrodynamic waves in the Sun’. In: E. R. Priest and A. W. Hood (eds.): Advances in Solar System Magnetohydrodynamics. Cambridge University Press, Cambridge, p. 105.
Roberts, B.: 2000. Solar Phys. 193, 139.
Roberts, B.: 2002. ‘Waves and Oscillations in the Corona: Theory’. In: A. Wilson (ed.): Proc. 10th. European Solar Physics Meeting,’ solar Variability: From Core to Outer Frontiers’, ESA SP-506, p. 481.
Roberts, B., Edwin, P. M., and Benz, A. O.: 1983. Nature 305, 688.
Roberts, B., Edwin, P. M., and Benz, A. O.: 1984. Astrophys. J. 279, 857.
Roberts, B. and Webb, A. R.: 1978. Solar Phys. 56, 5.
Ruderman, M. S., Goldstein, M. L., Roberts, D. A., Deane, A. and Ofman, L: 1999. J. Geophys. Res. 104, 17057.
Ruderman, M. S., Nakariakov, V. M. and Roberts, B.: 1998. Astron. Astrophys. 338, 111.
Ruderman, M. S. and Roberts, B: 2002. Astrophys. J. 577, 475.
Ryutov, D. D. and Ryutova, M. P.: 1976. Sov. Phys. JETP 43, 491.
Ryutova, M. P. and and Habbal, S. R.: 1995. Astrophys. J. 451, 381.
Schrijver, C. J., Aschwanden, M. J. and Title, A. M.: 2002. Solar Phys. 206, 69.
Schrijver, C. J. and Brown, D. S.: 2000. Astrophys. J. 537, L69.
Schrijver, C. J., Title, A. M., Berger, T. E., et al.: 1999. Solar Phys. 187, 261.
Similon, P. L. and Sudan, R. N.: 1989. Astrophys. J. 336, 442.
Spruit, H. C.: 1982. Solar Phys. 75, 3.
Suzuki T. K.: 2002. Astrophys. J. 578, 598.
Thompson, B. J., Plunkett, S. P., Gurman, J. B., Newmark, J. S., St Cyr, O. C. and Michels D. J.: 1998. Geophys. Res. Letters 25, 2465.
Torkelsson, U. and Boynton, G. C.: 1998. Mon. Not. R. Astron. Soc. 295, 55.
Tsiklauri, D. and Nakariakov, V. M.: 2001. Astron. Astrophys. 379, 1106.
Verwichte E., Nakariakov, V. M. and Longbottom, A.: 1999. J. Plasma Phys. 62, 219.
Wang, T. J., Solanki, S. K., Curdt, W., Innes, D. E. and Dammasch, I. E.: 2002. Astrophys. J. 574, L101.
Williams, D. R., Phillips, K. J. H., Rudawy, P., Mathioudakis, M., Gallagher, P. T.
O’Shea, E., Keenan, F. P., Read, P. and Rompolt, B.: 2001. Mon. Not. R. Astron. Soc. 326, 428.
Williams, D. R., Mathioudakis, M., Gallagher, P. T., Phillips, K. J. H., McAteer, R. T. J., Keenan, F. P., Rudawy, P. and Katsiyannis, A. C.: 2002. Mon. Not. R. Astron. Soc. 336, 747.
Wills-Davey, M. J. and Thompson, B. J.: 1999. Solar Phys. 190, 467.
Wilson, P. R.: 1980. Astron. Astrophys. 87, 121.
Zaqarashvili, T. V.: 2003. Astron. Astrophys. 399, L15.
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Roberts, B., Nakariakov, V.M. (2003). Theory of MHD Waves in the Solar Corona. In: Erdélyi, R., Petrovay, K., Roberts, B., Aschwanden, M. (eds) Turbulence, Waves and Instabilities in the Solar Plasma. NATO Science Series II: Mathematics, Physics and Chemistry, vol 124. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1063-4_9
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