Skip to main content

Advertisement

SpringerLink
Log in

Alfvén Waves in the Solar Atmosphere

From Theory to Observations

  • Published:
Space Science Reviews Aims and scope Submit manuscript

Abstract

Alfvén waves are considered to be viable transporters of the non-thermal energy required to heat the Sun’s quiescent atmosphere. An abundance of recent observations, from state-of-the-art facilities, have reported the existence of Alfvén waves in a range of chromospheric and coronal structures. Here, we review the progress made in disentangling the characteristics of transverse kink and torsional linear magnetohydrodynamic (MHD) waves. We outline the simple, yet powerful theory describing their basic properties in (non-)uniform magnetic structures, which closely resemble the building blocks of the real solar atmosphere.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • N. Akinari, Astrophys. J. 660, 1660 (2007)

    ADS  Google Scholar 

  • G. Alazraki, P. Couturier, Astron. Astrophys. 13, 380 (1971)

    ADS  Google Scholar 

  • H. Alfvén, Nature 150, 405 (1942)

    ADS  Google Scholar 

  • H. Alfvén, Mon. Not. R. Astron. Soc. 107, 211 (1947)

    ADS  Google Scholar 

  • K. Appert, R. Gruber, J. Vaclavik, Phys. Fluids 17, 1471 (1974)

    ADS  Google Scholar 

  • I. Arregui, R. Oliver, J.L. Ballester, Living Rev. Solar Phys. 9 (2012). lrsp-2012-2

  • M.J. Aschwanden, J. Terradas, Astrophys. J. 686, L127 (2008)

    ADS  Google Scholar 

  • M.J. Aschwanden, L. Fletcher, C.J. Schrijver, D. Alexander, Astrophys. J. 520, 880 (1999)

    ADS  Google Scholar 

  • G. Aulanier, E. Pariat, P. Démoulin, C.R. Devore, Sol. Phys. 238, 347 (2006)

    ADS  Google Scholar 

  • D. Banerjee, R. Erdélyi, R. Oliver, E. O’Shea, Sol. Phys. 246, 136 (2007)

    Google Scholar 

  • T.L. Bogdan, M. Carlsson, V.H. Hansteen et al., Astrophys. J. 599, 626 (2003)

    ADS  Google Scholar 

  • J.W. Belcher, Astrophys. J. 168, 509 (1971)

    ADS  Google Scholar 

  • J.W. Belcher, L. Davis, J. Geophys. Res. 76, 3534 (1971)

    ADS  Google Scholar 

  • K. Bennett, B. Roberts, U. Narain, Sol. Phys. 185, 41 (1999)

    ADS  Google Scholar 

  • P. Boerner, C. Edwards, J. Lemen et al., Solar Phys. 316 (2011)

  • J.A. Bonet, I. Márquez, J. Sánchez Almeida et al., Astrophys. J. 687, L131 (2008)

    ADS  Google Scholar 

  • D.S. Bloomfield, R.T.J. McAteer, M. Mathioudakis et al., Astrophys. J. 604, 936 (2004)

    ADS  Google Scholar 

  • R. Bruno, V. Carbone, Living Rev. Solar Phys. 2 (2005). lrsp-2005-4

  • M. Carlsson, R.F. Stein, Astrophys. J. 481, 500 (1997)

    ADS  Google Scholar 

  • M. Carlsson, T.J. Bogdan, Philos. Trans. R. Soc. Lond. Ser. A, Math. Phys. Sci. 364, 395 (2006)

    ADS  Google Scholar 

  • G. Cauzzi, K. Reardon, R.J. Rutten, A. Tritschler, H. Uitenbroek, Astron. Astrophys. 503, 577 (2009)

    ADS  Google Scholar 

  • F. Cavallini, Sol. Phys. 236, 415 (2006)

    ADS  Google Scholar 

  • J. Chae, U. Schühle, P. Lemaire, Astrophys. J. 505, 957 (1998)

    ADS  Google Scholar 

  • C.-C. Cheng, G.A. Doschek, U. Feldman, Astrophys. J. 227, 1037 (1979)

    ADS  Google Scholar 

  • J.W. Cirtain, L. Golub, L. Lundquist et al., Science 318, 1580 (2007)

    ADS  Google Scholar 

  • P.J. Coleman Jr., Planet. Space Sci. 15, 953 (1967)

    ADS  Google Scholar 

  • S.R. Cranmer, A.A. Ballegooigen, Astrophys. J. Suppl. Ser. 156, 265 (2005)

    ADS  Google Scholar 

  • T. Darnell, S. Tomczyk, G. Card et al., AGU Fall Meeting Abstracts, 505 (2003)

  • J.M. Davila, Astrophys. J. 317, 514 (2003)

    ADS  Google Scholar 

  • I. De Moortel, A.W. Hood, C.L. Gerrard, S.J. Brooks, Astron. Astrophys. 425, 741 (2004)

    ADS  Google Scholar 

  • L. Del Zanna, M. Velli, P. Londrillo, Astron. Astrophys. 367, 705 (2001)

    ADS  Google Scholar 

  • B. De Pontieu, R. Erdélyi, S.P. James, Nature 430, 536 (2004)

    ADS  Google Scholar 

  • B. De Pontieu, S.W. McIntosh, M. Carlsson et al., Science 318, 1574 (2007)

    ADS  Google Scholar 

  • G.A. Doschek, J.D. Bohlin, U. Feldman, Astrophys. J. 205, L177 (1976)

    ADS  Google Scholar 

  • P.M. Edwin, B. Roberts, Sol. Phys. 76, 239 (1982)

    ADS  Google Scholar 

  • P.M. Edwin, B. Roberts, Sol. Phys. 88, 179 (1983)

    ADS  Google Scholar 

  • G. Einaudi, M. Velli, H. Politano, A. Pouquet, Astrophys. J. 457, L113 (1996)

    ADS  Google Scholar 

  • A.G. Emslie, M.E. Machado, Sol. Phys. 64, 129 (1979)

    ADS  Google Scholar 

  • A.G. Emslie, P.A. Sturrock, Sol. Phys. 80, 99 (1982)

    ADS  Google Scholar 

  • R. Erdélyi, Philos. Trans. R. Soc. Lond. Ser. A, Math. Phys. Sci. 364, 351 (2006a)

    ADS  Google Scholar 

  • R. Erdélyi, in Proceedings of SOHO 18/GONG 2006/HELAS I, Beyond the Spherical Sun, ed. by K. Fletcher, M. Thompson, ESA SP-624, 15 (2006b)

    Google Scholar 

  • R. Erdélyi, V. Fedun, Sol. Phys. 238, 41 (2006)

    ADS  Google Scholar 

  • R. Erdélyi, V. Fedun, Sol. Phys. 246, 101 (2007a)

    ADS  Google Scholar 

  • R. Erdélyi, V. Fedun, Science 318, 1572 (2007b)

    ADS  Google Scholar 

  • R. Erdélyi, V. Fedun, Sol. Phys. 263, 63 (2010)

    ADS  Google Scholar 

  • R. Erdélyi, M. Goossens, Astron. Astrophys. 294, 575 (1995)

    ADS  Google Scholar 

  • R. Erdélyi, G. Verth, Astron. Astrophys. 462, 743 (2007)

    ADS  Google Scholar 

  • R. Erdélyi, J.G. Doyle, M.E. Perez, K. Wilhelm, Astron. Astrophys. 337, 287 (1998)

    ADS  Google Scholar 

  • R. Erdélyi, C. Malins, G. Tóth, B. De Pontieu, Astron. Astrophys. 467, 1299 (2007)

    ADS  Google Scholar 

  • V. Fedun, R. Erdélyi, S. Shelyag, S. Sol. Phys. 258, 219 (2009)

    ADS  Google Scholar 

  • V. Fedun, S. Shelyag, R. Erdélyi, Astrophys. J. 727, 17 (2011a)

    ADS  Google Scholar 

  • V. Fedun, G. Verth, D.B. Jess, R. Erdélyi, Astrophys. J. 740, L46 (2011b)

    ADS  Google Scholar 

  • L. Fletcher, H.S. Hudson, Astrophys. J. 675, 1645 (2008)

    ADS  Google Scholar 

  • M. Fujimoto, I. Shinohara, H. Kojima, Space Sci. Rev. 160, 123 (2011)

    ADS  Google Scholar 

  • D. Fujimura, S. Tsuneta, Astrophys. J. 702, 1443 (2009)

    ADS  Google Scholar 

  • W. Gekelman, J. Geophys. Res. 104, 14417 (1999)

    ADS  Google Scholar 

  • M.K. Georgoulis, M. Velli, G. Einaudi, Astrophys. J. 497, 957 (1998)

    ADS  Google Scholar 

  • J.P. Goedbloed, Physica D 53, 412 (1971)

    Google Scholar 

  • J.P. Goedbloed, G. Halberstadt, Astron. Astrophys. 286, 275 (1994)

    ADS  Google Scholar 

  • D.O. Gomez, Fundam. Cosm. Phys. 14, 131 (1990)

    ADS  Google Scholar 

  • M. Goossens, Advances in Solar System Magnetohydrodynamics (Cambridge University Press, Cambridge, 1991)

    Google Scholar 

  • M. Goossens, J. Terradas, J. Andries, I. Arregui, J.L. Ballester, Astron. Astrophys. 503, 213 (2009)

    ADS  MATH  Google Scholar 

  • M. Goossens, R. Erdélyi, M.S. Ruderman, Space Sci. Rev. 158, 289 (2011)

    ADS  Google Scholar 

  • K. Hain, R. Lüst, Z. Naturforsch. 13a, 936 (1958)

    ADS  Google Scholar 

  • S.S. Hasan, W. Kalkofen, Astrophys. J. 519, 899 (1999)

    ADS  Google Scholar 

  • J.-S. He, C.-Y. Tu, E. Marsch, L.-J. Guo, S. Yao, H. Tian, Astron. Astrophys. 497, 525 (2009)

    ADS  Google Scholar 

  • M. Heinemann, S. Olbert, J. Geophys. Res. 85, 1311 (1980)

    ADS  Google Scholar 

  • J. Heyvaerts, E.R. Priest, Astron. Astrophys. 117, 220 (1983)

    ADS  MATH  Google Scholar 

  • J.V. Hollweg, Sol. Phys. 70, 25 (1981)

    ADS  Google Scholar 

  • J.V. Hollweg, in Mechanisms of Chromospheric and Coronal Heating, ed. by P. Ulmschneider, E.R. Priest, R. Rosner (Springer, Berlin, 1991), p. 423

    Google Scholar 

  • J.V. Hollweg, S. Jackson, D. Galloway, Sol. Phys. 75, 35 (1982)

    ADS  Google Scholar 

  • J.V. Hollweg, G. Yang, J. Geophys. Res. 93, 5423 (1988)

    ADS  Google Scholar 

  • C.L. Hyder, Z. Astrophys. 63, 78 (1966)

    ADS  Google Scholar 

  • J.A. Ionson, Astrophys. J. 226, 650 (1978)

    ADS  Google Scholar 

  • D.B. Jess, M. Mathioudakis, R. Erdélyi et al., Science 323, 1582 (2009)

    ADS  Google Scholar 

  • D.B. Jess, M. Mathioudakis, D.J. Christian et al., Sol. Phys. 261, 363 (2010)

    ADS  Google Scholar 

  • D.B. Jess, D.J. Pascoe, D.J. Christian et al., Astrophys. J. 744, L5 (2012)

    ADS  Google Scholar 

  • W. Kalkofen, Astrophys. J. 486, L145 (1997)

    ADS  Google Scholar 

  • S.L. Keil, T.R. Rimmele, J. Wagner (ATST Team), Astron. Nachr. 331, 609 (2010)

    ADS  Google Scholar 

  • A. Keiling, Space Sci. Rev. 142, 73 (2009)

    ADS  Google Scholar 

  • E. Khomenko, M. Collados, T. Felipe, Sol. Phys. 251, 589 (2008)

    ADS  Google Scholar 

  • J.A. Klimchuk, Sol. Phys. 234, 41 (2006)

    ADS  Google Scholar 

  • J.A. Klimchuk, S.K. Antiochos, D. Norton, Astrophys. J. 542, 504 (2000)

    ADS  Google Scholar 

  • M. Kuperus, J.A. Ionson, D.S. Spicer, Annu. Rev. Astron. Astrophys. 19, 7 (1981)

    ADS  Google Scholar 

  • H. Lin, M.J. Penn, S. Tomczyk, Astrophys. J. 541, L83 (2000)

    ADS  Google Scholar 

  • M.E. Machado, A.G. Emslie, J.C. Brown, Sol. Phys. 58, 363 (1978)

    ADS  Google Scholar 

  • F. Malara, M. Velli, Phys. Plasmas 3, 4427 (1996)

    ADS  Google Scholar 

  • F. Malara, P. Petkaki, P. Veltri, Astrophys. J. 533, 523 (2000a)

    ADS  Google Scholar 

  • F. Malara, F. Primavera, P. Veltri, Phys. Plasmas 7, 2866 (2000b)

    MathSciNet  ADS  Google Scholar 

  • E. Marsch, Living Rev. Solar Phys. 2 (2006). lrsp-2006-1

  • J. Martinez-Sykora, V. Hansteen, B. DePontieu, M. Carlsson, Astrophys. J. 701, 1569 (2009)

    ADS  Google Scholar 

  • W.H. Matthaeus, M. Velli, Space Sci. Rev. 160, 145 (2011)

    ADS  Google Scholar 

  • W.H. Matthaeus, G.P. Zank, S. Oughton, D.J. Mullan, P. Dmitruk, Astrophys. J. 523, L93 (1999)

    ADS  Google Scholar 

  • R.T.J. McAteer, P.T. Gallagher, D.R. Williams et al., Astrophys. J. 587, 806 (2003)

    ADS  Google Scholar 

  • J.A. McLaughlin, L. Ofman, Astrophys. J. 682, 1338 (2008)

    ADS  Google Scholar 

  • K.G. McClements, R.A. Harrison, D. Alexander, Sol. Phys. 131, 41 (1991)

    ADS  Google Scholar 

  • S.W. McIntosh, B. DePontieu, T.D. Tarbell, Astrophys. J. 673, L219 (2008)

    ADS  Google Scholar 

  • S.W. McIntosh, B. DePontieu, M. Carlsson, V. Hansteen, P. Boerner, M. Goossens, Nature 475, 477 (2011)

    ADS  Google Scholar 

  • G.E. Moreton, H.E. Ramsey, Publ. Astron. Soc. Pac. 72, 357 (1960)

    ADS  Google Scholar 

  • R.J. Morton, R. Erdélyi, Astrophys. J. 707, 750 (2009)

    ADS  Google Scholar 

  • R.J. Morton, R. Erdélyi, Astron. Astrophys. 519, 23 (2010)

    Google Scholar 

  • R.J. Morton, A.W. Hood, R. Erdélyi, Astron. Astrophys. 512, 23 (2010)

    ADS  Google Scholar 

  • R.J. Morton, M.S. Ruderman, R. Erdélyi, Astron. Astrophys. 534, 27 (2011)

    ADS  Google Scholar 

  • Z.E. Musielak, P. Ulmschneider, Astron. Astrophys. 406, 725 (2003)

    ADS  Google Scholar 

  • V.M. Nakariakov, E. Verwichte, Living Rev. Sol. Phys. 2, 3 (2005). lrsp-2005-3

    ADS  Google Scholar 

  • V.M. Nakariakov, L. Ofman, E.E. Deluca, B. Roberts, J.M. Davila, Science 285, 862 (1999)

    ADS  Google Scholar 

  • L. Ofman, Space Sci. Rev. 120, 67 (2005)

    ADS  Google Scholar 

  • L. Ofman, Space Sci. Rev. 149, 153 (2009a)

    ADS  Google Scholar 

  • L. Ofman, Astrophys. J. 694, 502 (2009b)

    ADS  Google Scholar 

  • L. Ofman, Living Rev. Solar Phys. 7 (2010a). lrsp-2010-4

  • L. Ofman, J. Geophys. Res. 115, A04108 (2010b)

    ADS  Google Scholar 

  • L. Ofman, M.J. Aschwanden, Astrophys. J. 576, L153 (2002)

    ADS  Google Scholar 

  • L. Ofman, J.M. Davila, J. Geophys. Res. 100, 23427 (1995)

    ADS  Google Scholar 

  • L. Ofman, J.M. Davila, J. Geophys. Res. 103, 23677 (1998)

    ADS  Google Scholar 

  • L. Ofman, A.F. Viñas, J. Geophys. Res. 112, A06104 (2007)

    ADS  Google Scholar 

  • L. Ofman, T.J. Wang, Astron. Astrophys. 482, L9 (2008)

    ADS  Google Scholar 

  • L. Ofman, J.M. Davila, R.S. Steinolfson, Astrophys. J. 421, 360 (1994)

    ADS  Google Scholar 

  • L. Ofman, J.M. Davila, R.S. Steinolfson, Astrophys. J. 444, 371 (1995)

    ADS  Google Scholar 

  • T.J. Okamoto, S. Tsuneta, T.E. Berger et al., Science 318, 1577 (2007)

    ADS  Google Scholar 

  • D.E. Osterbrock, Astrophys. J. 134, 347 (1961)

    ADS  Google Scholar 

  • E.N. Parker, Astrophys. J. 330, 474 (1988)

    ADS  Google Scholar 

  • S. Poedts, M. Goossens, W. Kerner, Sol. Phys. 123, 83 (1989)

    ADS  Google Scholar 

  • S. Poedts, M. Goossens, W. Kerner, Astrophys. J. 360, 279 (1990)

    ADS  Google Scholar 

  • M.A. Raadu, Sol. Phys. 22, 425 (1972)

    ADS  Google Scholar 

  • A.F. Rappazzo, M. Velli, G. Einaudi, R.B. Dahlburg, Astrophys. J. 677, 1348 (2008)

    ADS  Google Scholar 

  • B. Pintér, R. Erdélyi, Space Sci. Rev. 158, 471 (2011)

    ADS  Google Scholar 

  • E.R. Priest, C.J. Schrijver, Sol. Phys. 190, 1 (1999)

    ADS  Google Scholar 

  • N.-E. Raouafi, Solanki, Astron. Astrophys. 445, 735 (2006)

    ADS  Google Scholar 

  • B. Roberts, Sol. Phys. 61, 23 (1979)

    ADS  Google Scholar 

  • B. Roberts, Sol. Phys. 69, 39 (1981)

    ADS  Google Scholar 

  • B. Roberts, Sol. Phys. 193, 139 (2000)

    ADS  Google Scholar 

  • M.S. Ruderman, Astrophys. J. 521, 851 (1999)

    ADS  Google Scholar 

  • M.S. Ruderman, Sol. Phys. 271, 41 (2011a)

    ADS  Google Scholar 

  • M.S. Ruderman, Astron. Astrophys. 534, A78 (2011b)

    ADS  Google Scholar 

  • M.S. Ruderman, B. Roberts, Astrophys. J. 577, 475 (2002)

    ADS  Google Scholar 

  • M.S. Ruderman, D. Berghmans, M. Goossens, S. Poedts, Astron. Astrophys. 320, 305 (1997)

    ADS  Google Scholar 

  • T. Sakurai, M. Goossens, J.V. Hollweg, Sol. Phys. 133, 227 (1991)

    ADS  Google Scholar 

  • J. Sánchez Almeida, J.A. Bonet, B. Viticchié, D. Del Moro, Astrophys. J. 715, L26 (2010)

    ADS  Google Scholar 

  • G.B. Scharmer, G. Narayan, T. Hillberg et al., Astrophys. J. 689, L69 (2008)

    ADS  Google Scholar 

  • J.M. Schmidt, L. Ofman, Astrophys. J. 739, 75 (2011)

    ADS  Google Scholar 

  • J. Scudder, Astrophys. J. 398, 299 (1992a)

    ADS  Google Scholar 

  • J. Scudder, Astrophys. J. 398, 319 (1992b)

    ADS  Google Scholar 

  • M. Selwa, L. Ofman, Astrophys. J. 714, 170 (2010)

    ADS  Google Scholar 

  • M. Selwa, L. Ofman, S.K. Solanki, Astrophys. J. 726, 42 (2011a)

    ADS  Google Scholar 

  • M. Selwa, S.K. Solanki, L. Ofman, Astrophys. J. 728, 87 (2011b)

    ADS  Google Scholar 

  • S. Shelyag, P.H. Keys, M. Mathioudakis, F.P. Keenan, Astron. Astrophys. 526, A5 (2011)

    ADS  Google Scholar 

  • K. Shibata, Y. Ishido, W.L. Acton et al., Publ. Astron. Soc. Jpn. 44, L173 (1992)

    ADS  Google Scholar 

  • R.F. Stein, A. Nordlund, Astrophys. J. 499, 914 (1998)

    ADS  Google Scholar 

  • R.S. Steinolfson, J.M. Davila, Astrophys. J. 415, 354 (1993)

    ADS  Google Scholar 

  • A.C. Sterling, J.V. Hollweg, Astrophys. J. 327, 950 (1988)

    ADS  Google Scholar 

  • J.J. Sudol, J.W. Harvey, Astrophys. J. 635, 647 (2005)

    ADS  Google Scholar 

  • T.K. Suzuki, S. Inutsuka, Astrophys. J. 632, L49 (2005)

    ADS  Google Scholar 

  • Y. Taroyan, R. Erdélyi, Space Sci. Rev. 149, 229 (2009)

    ADS  Google Scholar 

  • J.H. Thomas, D.C.H. Stanchfield II, Astrophys. J. 537, 1086 (2000)

    ADS  Google Scholar 

  • A. Title, Adv. Space Res. 4, 67 (1984)

    ADS  Google Scholar 

  • S. Tomczyk, S.W. McIntosh, Astrophys. J. 697, 1384 (2009)

    ADS  Google Scholar 

  • S. Tomczyk, S.W. McIntosh, S.L. Keil et al., Science 317, 1192 (2007)

    ADS  Google Scholar 

  • D. Tripathi, H. Isobe, R. Jain, Space Sci. Rev. 149, 283 (2009)

    ADS  Google Scholar 

  • S. Tsuneta, K. Ichimoto, Y. Katsukawa et al., Sol. Phys. 249, 167 (2008)

    ADS  Google Scholar 

  • B.T. Tsurutani, C.M. Ho, Rev. Geophys. 37, 517 (1999)

    ADS  Google Scholar 

  • A.A. van Ballegooijen, M. Asgari-Targhi, S.R. Cranmer, E.E. DeLuca, Astrophys. J. 736, 3 (2011)

    ADS  Google Scholar 

  • T. Van Doorsselaere, V. Nakariakov, E. Verwichte, Astrophys. J. 676, L73 (2008)

    ADS  Google Scholar 

  • M. van Noort, L.H.M. Rouppe van der Voort, M.G. Lofdahl, Sol. Phys. 228, 191 (2005)

    ADS  Google Scholar 

  • M. Velli, Astron. Astrophys. 270, 304 (1993)

    ADS  Google Scholar 

  • M. Velli, Plasma Phys. Control. Fusion 45, A205 (2003)

    ADS  Google Scholar 

  • M. Velli, P. Liewer, SSR 87, 339 (1999)

    ADS  Google Scholar 

  • M. Velli, R. Grappin, A. Magneney, Phys. Rev. Lett. 63, 1807 (1989)

    ADS  Google Scholar 

  • A. Verdini, M. Velli, E. Buchlin, Astrophys. J. 700, L39 (2009)

    ADS  Google Scholar 

  • J.E. Vernazza, E.H. Avrett, R. Loeser, Astrophys. J. Suppl. Ser. 45, 635 (1981)

    ADS  Google Scholar 

  • G. Verth, T. Van Doorsselaere, R. Erdélyi, M. Goossens, Astron. Astrophys. 475, 341 (2007)

    ADS  Google Scholar 

  • G. Verth, R. Erdélyi, M. Goossens, Astrophys. J. 714, 1637 (2010)

    ADS  Google Scholar 

  • G. Vigeesh, V. Fedun, S.S. Hasan, R. Erdélyi (2011). arXiv:1109.6471v1

  • J. Vranjes, S. Poedts, B.P. Pandey, B. de Pontieu, Astron. Astrophys. 478, 553 (2008)

    ADS  MATH  Google Scholar 

  • B. Vrśnak, A.M. Veronig, J.K. Thalmann, T. Źic, Astron. Astrophys. 471, 295 (2007)

    ADS  Google Scholar 

  • T.W.J. Unti, M. Neugebauer, Phys. Fluids 11, 563 (1968)

    ADS  Google Scholar 

  • S. Wedemeyer-Bohm, L. Rouppe van der Voort, Astrophys. J. 507, L9 (2009)

    Google Scholar 

  • T.V. Zaqarashvili, Astron. Astrophys. 399, L15 (2003)

    ADS  Google Scholar 

  • T.V. Zaqarashvili, R. Erdélyi, Space Sci. Rev. 149, 355 (2009)

    ADS  Google Scholar 

  • Y.Z. Zhang, K. Shibata, J.X. Wang, X.J. Mao, T. Matsumoto, Y. Liu, J.T. Su, Astrophys. J. 750, 16 (2012)

    ADS  Google Scholar 

  • J.B. Zirker, Sol. Phys. 148, 43 (1993)

    ADS  Google Scholar 

Download references

Acknowledgements

D.B.J. thanks the Science and Technology Facilities Council (STFC) for a Post-Doctoral Fellowship. R.E. acknowledges M. Kéray for patient encouragement and is grateful to NSF Hungary (OTKA K83133). R.E. also thanks for the hospitality received at the Dept. of Astronomy, Eőtvős University, Budapest, Hungary, where part of his contribution to the review paper was developed. We would like to thank the anonymous referees for their comments and suggestions on the manuscript.

Author information

Authors and Affiliations

  1. Astrophysics Research Centre, School of Mathematics and Physics, Queen’s University Belfast, Belfast, BT7 1NN, Northern Ireland, UK

    M. Mathioudakis & D. B. Jess

  2. Solar Physics & Space Plasma Research Centre (SP²RC), School of Mathematics and Statistics, University of Sheffield, Sheffield, S3 7RH, UK

    R. Erdélyi

Authors
  1. M. Mathioudakis
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. B. Jess
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. Erdélyi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Mathioudakis.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mathioudakis, M., Jess, D.B. & Erdélyi, R. Alfvén Waves in the Solar Atmosphere. Space Sci Rev 175, 1–27 (2013). https://doi.org/10.1007/s11214-012-9944-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11214-012-9944-7

Keywords

Search

Navigation