Abstract
The heating of the solar atmosphere is a fundamental problem of modern solar and astrophysics. A review of the seismological aspects of magnetohydrodynamic (MHD) waves with an emphasis on standing longitudinal waves in the context of coronal heating is presented. Efforts made recently may be split into two categories: forward modelling and data inversion. Forward modelling can be applied to predict the observational footprints of various heating scenarios. A new diagnostic method based on the analysis of Doppler shift time series is outlined with specific application to solar coronal conditions. The power of the method is demonstrated and tested using synthetic data and comparing them with actual high-resolution (e.g. SoHO/SUMER) observations. Further, related recent examples of standing longitudinal oscillations in coronal loop structures observed with the new Hinode/EIS instrument are also presented. These latter observations provide an advanced ground for MHD seismology as a tool for plasma heating diagnostics in the atmosphere of the Sun.
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J. Andries, I. Arregui, M. Goossens, Astrophys. J. 624, L57 (2005)
P. Antolin, K. Shibata, T. Kudoh , Astrophys. J. 688, 669 (2008)
P. Antolin et al., Astrophys. J. (2009, in preparation)
T.D. Arber, A.W. Longbottom, C.L. Gerrard , J. Comp. Phys. 171, 151 (2001)
M.J. Aschwanden, Astron. Astrophys. 560, 1035 (2001)
M.J. Aschwanden, Physics of the Solar Corona (Springer, New York, 2006)
M.J. Aschwanden, C.E. Parnell, Astrophys. J. 572, 1048 (2002)
M.J. Aschwanden, J. Terradas, Astrophys. J. 686, L127 (2008)
M.J. Aschwanden, J.S. Newmark, J.-P. Delaboudiniere , Astrophys. J. 515, 842 (1999)
M.J. Aschwanden, T.D. Tarbell, R.W. Nightingale, Astrophys. J. 535, 1047 (2000)
M.J. Aschwanden, C.J. Schrijver, D. Alexander, Astrophys. J. 550, 1036 (2001)
M.D. Aschwanden, A. Winebarger, D. Tsiklauri, H. Peter, Astrophys. J. 659, 1673 (2007)
I. Ballai, R. Erdélyi, B. Pintér, Astrophys. J. 633, L145 (2005)
D. Banerjee, R. Erdélyi, R. Oliver, E. O’Shea, Sol. Phys. 246, 3 (2007)
A.O. Benz, S. Krucker, Astrophys. J. 568, 413 (2002)
S.J. Bradshaw, R. Erdélyi, Astron. Astrophys. 483, 301 (2008)
S.J. Bradshaw, H.E. Mason, Astron. Astrophys. 407, 1127 (2003)
P. Brekke, D.M. Hassler, K. Wilhelm, Sol. Phys. 175, 349 (1997)
P.K. Browning, Plasma Phys. Controlled Fusion 33, 539 (1991)
E. Buchlin, P.J. Cargill, S.J. Bradshaw , Astron. Astrophys. 469, 347 (2007)
P. Cargill, in Solar System Plasma Physics: Resolution of Processes in Space and Time, ed. by J.L. Birch, J.H. Waite Jr. (1993)
P.J. Cargill, Astrophys. J. 422, 381 (1994)
P.J. Cargill, J.A. Klimchuk, Astrophys. J. 605, 911 (2004)
B.K. Carter, R. Erdélyi, Astron. Astrophys. 475, 323 (2007)
J. Chae, H.S. Yun, A.I. Poland, Astrophys. J. Suppl. 114, 151 (1998)
N.B. Crosby, M.J. Aschwanden, B.R. Dennis, Sol. Phys. 143, 275 (1993)
J.L. Culhane, L.K. Harra, A.M. James , Sol. Phys. 243, 19 (2007)
I. De Moortel A, W. Hood, Astron. Astrophys. 408, 755 (2003)
I. De Moortel, RSPTA 363, 2743 (2005)
I. De Moortel, RSPTA 364, 461 (2006)
I. De Moortel, S.J. Bradshaw, Sol. Phys. 252, 101 (2008)
I. De Moortel, J. Ireland, R.W. Walsh, Astron. Astrophys. 355, L23 (2000)
K.P. Dere, E. Landi, H.E. Mason, B.C. Monsignori, P.R. Young, Astron. Astrophys. Suppl. 125, 149 (1997)
A.J. Díaz, R. Oliver, J.L. Ballester, Astrophys. J. 580, 550 (2002)
J.G. Doyle, M.S. Madjarska, I. Roussev, L. Teriaca, J. Giannikakis, Astron. Astrophys. 396, 255 (2002)
M.V. Dymova, M.S. Ruderman, Sol. Phys. 229, 79 (2005)
R. Erdélyi, Astron. Geophys. 45, 34 (2004)
R. Erdélyi, I. Ballai, Astron. Nacht. 328, 726 (2007)
R. Erdélyi, B.K. Carter, Astron. Astrophys. 455, 361 (2006)
R. Erdélyi, V. Fedun, Sol. Phys. 238, 41 (2006)
R. Erdélyi, M. Goossens, Astron. Astrophys. 294, 575 (1995)
R. Erdélyi, M. Goossens, Astron. Astrophys. 313, 664 (1996)
R. Erdélyi, Y. Taroyan, Astron. Astrophys. 489, L49 (2008)
R. Erdélyi, G. Verth, Astron. Astrophys. 462, 743 (2007)
R. Erdélyi, M. Luna-Cardozo, C.A. Mendoza-Briceño, Sol. Phys. 252, 305 (2008)
U. Feldman, Phys. Scr. 46, 202 (1992)
L. Golub, J.M. Pasachoff, The Solar Corona. CUP (1997)
D.O. Gómez, Fund. Cosmic Phys. 14, 131 (1990)
D. Gómez, P. Dmitruk, in Proceedings of IAUS 247: Waves and Oscillations in the Solar Atmosphere: Heating and Magneto-Seismology, ed. by R. Erdélyi, C.A. Mendoza-Briceño. IAUS, vol. 247, (2008)
M. Goossens, J. Andries, M.J. Aschwanden, Astron. Astrophys. 394, L39 (2002)
B.V. Gudiksen, A. Nordlund, Astrophys. J. 618, 1020 (2005a)
B.V. Gudiksen, A. Nordlund, Astrophys. J. 618, 1031 (2005b)
V.H. Hansteen, Astrophys. J. 402, 741 (1993)
M. Haynes, T.D. Arber, E. Verwichte, Astron. Astrophys. 479, 235 (2008)
J.V. Hollweg, Astrophys. J. 254, 806 (1982a)
J.V. Hollweg, Astrophys. J. 257, 345 (1982b)
J.V. Hollweg, in Mechanisms of Chromospheric and Coronal Heating, ed. by P. Ulmschneider (Springer, Berlin, 1991), p. 423
H.S. Hudson, Sol. Phys. 133, 357 (1991)
J.A. Ionson, Astrophys. J. 226, 650 (1978)
S.P. James, R. Erdélyi, Astron. Astrophys. 393, L11 (2002)
D. Jess, M. Mathioudakis, R. Erdélyi, G. Verth, R.T.J. McAteer, F.P. Keenan, Astrophys. J. 680, 1523 (2008)
R. Keppens, M. Nool, G. Tóth , Comput. Phys. Commun. 153, 317 (2003)
B. Kliem, I.E. Dammasch, W. Curdt, K. Wilhelm, Astrophys. J. 568, L61 (2002)
J.A. Klimchuk, Sol. Phys. 234, 41 (2006)
J.A. Klimchuk, S.K. Antiochos, J.T. Mariska, Astrophys. J. 320, 409 (1987)
T. Kosugi, K. Matsuzaki, T. Sakao , Sol. Phys. 243, 3 (2007)
S. Krucker, A.O. Benz, Astrophys. J. 501, L213 (1998)
T. Kudoh, K. Shibata, Astrophys. J. 514, 493 (1999)
E. Landi, M. Landini, Astrophys. J. 618, 1039 (2005)
E. Landi, G. Del Zanna, P.R. Young , Astrophys. J. Suppl. 162, 261 (2006)
J.T. Mariska, Astrophys. J. 319, 465 (1987)
J.T. Mariska, H.P. Warren, D.R. Williams , Astrophys. J. 681, L41 (2008)
P. Mazzotta, G. Mazzitelli, S. Colafrancesco , Astron. Astrophys. Suppl. 133, 403 (1998)
J.A. McLaughlin, L. Ofman, Astrophys. J. 682, 1338 (2008)
C.A. Mendoza-Briceño, L.D.G Sigalotti, R. Erdélyi, Astrophys. J. 579, L49 (2002)
C.A. Mendoza-Briceño, L.D.G Sigalotti, R. Erdélyi, Adv. Space. Phys. 32, 995 (2003)
C.A. Mendoza-Briceño, L.D.G Sigalotti, R. Erdélyi, Astrophys. J. 605, 493 (2004)
C.A. Mendoza-Briceño, L.D.G Sigalotti, R. Erdélyi, Astrophys. J. 624, 1080 (2005)
S. Moriyasu, T. Kudoh, T. Yokoyama, K. Shibata, Astrophys. J. 601, L107 (2004)
V.M. Nakariakov, L. Ofman, Astron. Astrophys. 372, L53 (2001)
V.M. Nakariakov, E. Verwichte, LRSP 2, 3 (2005)
V.M. Nakariakov, D. Tsiklauri, A. Kelly , Astron. Astrophys. 414, L25 (2004)
U. Narain, P. Ulmschneider, Space Sci. Rev. 75, 453 (1996)
L. Ofman, J.M. Davila, Astrophys. J. 456, L123 (1996)
L. Ofman, T.J. Wang, Astrophys. J. 580, L85 (2002)
E. O’Shea, A.K. Srivastava, J.G. Doyle, D. Banerjee, Astron. Astrophys. 473, L13 (2007)
E.N. Parker, Astrophys. J. 330, 380 (1988)
C.E. Parnell, P.E. Jupp, Astrophys. J. 529, 554 (2000)
S. Patsourakos, J.A. Klimchuk, Astrophys. J. 628, 1023 (2005)
H. Peter, P.G. Judge, Astrophys. J. 522, 1148 (1999)
H. Peter, B. Gudiksen, A. Nordlund, Astrophys. J. 617, L85 (2004)
S. Poedts, M. Goossens, W. Kerner, Astrophys. J. 360, 279 (1990)
E. Priest, T. Forbes, Magnetic Reconnection (Cambridge University Press, Cambridge, 2000). ISBN 0521481791
E.R. Priest, C.R. Foley, J. Heyvaerts, T.D. Arber, J.L. Culhane, L.W. Acton, Nature 393, 545 (1998)
F. Reale, Astrophys. J. 580, 566 (2002)
F. Reale, A. Ciaravella, Astron. Astrophys. 449, 1177 (2006)
B. Roberts, V.M. Nakariakov, in Turbulence, Waves and Instabilities in the Solar Plasma, ed. by R. Erdélyi et al. NATO Science Ser., vol. 124 (2003), p. 167
M.S. Ruderman, R. Erdélyi, in Waves, Oscillations and Small-Scale Transient Events in the Solar Atmosphere: A Joint View from SOHO and TRACE, ed. by R. Erdélyi, J.L. Ballester, B. Fleck. ESA-SP vol. 547 (2004), p. 507
M.S. Ruderman, B. Roberts, Astrophys. J. 577, 475 (2002)
G.D. Sandlin, G.E. Brueckner, R. Tousey, Astrophys. J. 214, 898 (1977)
L.M. Sarro, R. Erdélyi, J.G. Doyle, M.E. Pérez, Astron. Astrophys. 351, 721 (1999)
J.T. Schmelz, P.C.H. Martens, Astrophys. J. 636, L49 (2006)
M. Selwa, K. Murawski S, K. Solanki, Astron. Astrophys. 436, 701 (2005)
M. Selwa, L. Ofman, K. Murawski, Astrophys. J. 668, L83 (2007)
T. Shimizu, Publ. Astron. Soc. Jpn. 47, 251 (1995)
L.D.G. Sigalotti, C.A. Mendoza-Briceño, M. Luna-Cardozo, Sol. Phys. 246, 187 (2007)
D. Spadaro, G. Noci, R. Zappalà, S.K. Antiochos, Astrophys. J. 355, 342 (1990)
Y. Taroyan, S.J. Bradshaw, Astron. Astrophys. 481, 247 (2008)
Y. Taroyan, R. Erdélyi, J.G. Doyle, S.J. Bradshaw, Astron. Astrophys. 438, 713 (2005)
Y. Taroyan, S.J. Bradshaw, J.G. Doyle, Astron. Astrophys. 446, 315 (2006)
Y. Taroyan, R. Erdélyi, T.J. Wang, S.J. Bradshaw, Astrophys. J. 659, L173 (2007a)
Y. Taroyan, R. Erdélyi, J.G. Doyle, S.J. Bradshaw, Astron. Astrophys. 462, 331 (2007b)
L. Teriaca, D. Banerjee, J.G. Doyle, Astron. Astrophys. 349, 636 (1999a)
L. Teriaca, J.G. Doyle, R. Erdélyi, L.M. Sarro, Astron. Astrophys. 352, L99 (1999b)
C. Torrence, G.P. Compo, Bull. Am. Meteor. Soc. 79, 61 (1998)
I. Ugarte-Urra, J.G. Doyle, R.W. Walsh, M.S. Madjarska, Astron. Astrophys. 439, 351 (2005)
P. Ulmschneider, in Lect. Notes in Phys., vol. 507, ed. by J.-C. Vial et al. (1998), p. 77
A.A. van Ballegooijen, Astrophys. J. 311, 1001 (1986)
T. Van Doorsselaere, J. Andries, S. Poedts, Astron. Astrophys. 471, 311 (2007)
T. Van Doorsselaere, V.M. Nakariakov, P.R. Young, E. Verwichte, Astron. Astrophys. 487, L17 (2008)
G. Verth, T. van Doorsselaere, R. Erdélyi, M. Goossens, Astron. Astrophys. 475, 341 (2007)
G. Verth, R. Erdélyi, D.B. Jess, Astrophys. J. 678, L45 (2008)
E. Verwichte, M. Haynes, T.D. Arber , Astrophys. J. 685, 1286 (2008)
R.W. Walsh, J. Ireland, Astron. Astrophys. Rev. 12, 1 (2003)
R.W. Walsh, G.E. Bell, A.W. Hood, Sol. Phys. 171, 81 (1997)
T.J. Wang, S.K. Solanki, W. Curdt , Astrophys. J. 574, L101 (2002)
T.J. Wang, S.K. Solanki, W. Curdt , Astron. Astrophys. 406, 1105 (2003a)
T.J. Wang, S.K. Solanki, D.E. Innes , Astron. Astrophys. 402, L17 (2003b)
T.J. Wang, S.K. Solanki, D.E. Innes , Astron. Astrophys. 435, 753 (2005)
T.J. Wang, D.E. Innes, S.K. Solanki, Astron. Astrophys. 455, 1105 (2006)
T.J. Wang, D.E. Innes, J. Qiu, Astrophys. J. 656, 598 (2007)
A.R. Winebarger, H.P. Warren, J.T. Mariska, Astrophys. J. 587, 439 (2003)
T.V. Zaqarashvili, Astron. Astrophys. 399, L15 (2003)
J.B. Zirker, Sol. Phys. 148, 43 (1993)
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Taroyan, Y., Erdélyi, R. Heating Diagnostics with MHD Waves. Space Sci Rev 149, 229–254 (2009). https://doi.org/10.1007/s11214-009-9506-9
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DOI: https://doi.org/10.1007/s11214-009-9506-9