Abstract
The effects of both density stratification and magnetic field expansion on torsional Alfvén waves in magnetic flux tubes are studied. The frequencies, the period ratio P 1/P 2 of the fundamental and its first-overtone, and eigenfunctions of torsional Alfvén modes are obtained. Our numerical results show that the density stratification and magnetic field expansion have opposite effects on the oscillating properties of torsional Alfvén waves.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Alfvén, H.: Nature 150, 405 (1942)
Andries, J., Arregui, I., Goossens, M.: Astrophys. J. 624, L57 (2005a)
Andries, J., Goossens, M., Hollweg, J.V., Arregui, I., Van Doorsselaere, T.: Astron. Astrophys. 430, 1109 (2005b)
Andries, J., Arregui, I., Goossens, M.: Astron. Astrophys. 497, 265 (2009)
Antolin, P., Shibata, K., Kudoh, T., Shiota, D., Brooks, D.: Astrophys. J. 688, 669 (2008)
Copil, P., Voitenko, Y., Goossens, M.: Astron. Astrophys. 478, 921 (2008)
Copil, P., Voitenko, Y., Goossens, M.: Astron. Astrophys. 510, A17 (2010)
De Groof, A., Goossens, M.: Astron. Astrophys. 356, 724 (2000)
De Groof, A., Goossens, M.: Astron. Astrophys. 386, 691 (2002)
De Groof, A., Paes, K., Goossens, M.: Astron. Astrophys. 386, 681 (2002)
Erdélyi, R.: Sol. Phys. 180, 213 (1998)
Erdélyi, R., Goossens, M.: Astron. Astrophys. 294, 575 (1995)
Goossens, M.: IAU Symp. 247, 228 (2008)
Goossens, M., De Groof, A.: Phys. Plasmas 8, 2371 (2001)
Goossens, M., De Groof, A., Andries, J.: ESA SP 505, 137 (2002)
Goossens, M., Andries, J., Arregui, I.: Philos. Trans. R. Soc. Lond. A 364, 433 (2006)
Goossens, M., Terradas, J., Andries, J., Arregui, I., Ballester, J.L.: Astron. Astrophys. 503, 213 (2009)
Heyvaerts, J., Priest, E.R.: Astron. Astrophys. 117, 220 (1983)
Jess, D.B., Mathioudakis, M., Erdélyi, R., Crockett, P.J., Keenan, F.P., Christian, D.J.: Science 323, 1582 (2009)
Karami, K., Bahari, K.: Sol. Phys. 263, 87 (2010)
Karami, K., Ebrahimi, Z.: Publ. Astron. Soc. Aust. 26, 448 (2009)
Karami, K., Nasiri, S., Amiri, S.: Mon. Not. R. Astron. Soc. 394, 1973 (2009)
Moriyasu, S., Kudoh, T., Yokoyama, T., Shibata, K.: Astrophys. J. 601, L107 (2004)
Narain, U., Agarwal, P., Sharma, R.K., Prasad, L., Dwivedi, B.N.: Sol. Phys. 199, 307 (2001)
Poedts, S., Hermans, D., Goossens, M.: Astron. Astrophys. 151, 16 (1985)
Poedts, S., Goossens, M., Kerner, W.: Sol. Phys. 123, 83 (1989)
Poedts, S., Goossens, M., Kerner, W.: Astrophys. J. 360, 279 (1990a)
Poedts, S., Goossens, M., Kerner, W.: Comput. Phys. Commun. 59, 75 (1990b)
Poedts, S., Goossens, M., Kerner, W.: Comput. Phys. Commun. 59, 95 (1990c)
Ruderman, M.S.: Astrophys. J. 521, 851 (1999)
Ruderman, M.S., Berghmans, D., Goossens, M., Poedts, S.: Astron. Astrophys. 320, 305 (1997a)
Ruderman, M.S., Goossens, M., Ballester, J.L., Oliver, R.: Astron. Astrophys. 328, 361 (1997b)
Ruderman, M.S., Nakariakov, V.M., Roberts, B.: Astron. Astrophys. 338, 1118 (1998)
Ruderman, M.S., Verth, G., Erdélyi, R.: Astrophys. J. 686, 694 (2008)
Safari, H., Nasiri, S., Karami, K., Sobouti, Y.: Astron. Astrophys. 448, 375 (2006)
Smith, P.D., Tsiklauri, D., Ruderman, M.S.: Astron. Astrophys. 475, 1111 (2007)
Taroyan, Y.: Astrophys. J. 694, 69 (2009)
Vasheghani Farahani, S., Nakariakov, V.M., Van Doorsselaere, T.: Astron. Astrophys. 517, A29 (2010)
Verth, G.: Astron. Nachr. 328, 764 (2007)
Verth, G., Erdélyi, R.: Astron. Astrophys. 486, 1015 (2008)
Verth, G., Erdélyi, R., Goossens, M.: Astrophys. J. 714, 1637 (2010)
Zaqarashvili, T.V.: Astron. Astrophys. 399, L15 (2003)
Zaqarashvili, T.V., Murawski, K.: Astron. Astrophys. 470, 353 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Karami, K., Bahari, K. Torsional Alfvén waves in stratified and expanding magnetic flux tubes. Astrophys Space Sci 333, 463–470 (2011). https://doi.org/10.1007/s10509-011-0642-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-011-0642-9