Abstract
The question of what heats the solar corona remains one of the most important problems in astrophysics. Finding a definitive solution involves a number of challenging steps, beginning with an identification of the energy source and ending with a prediction of observable quantities that can be compared directly with actual observations. Critical intermediate steps include realistic modeling of both the energy release process (the conversion of magnetic stress energy or wave energy into heat) and the response of the plasma to the heating. A variety of difficult issues must be addressed: highly disparate spatial scales, physical connections between the corona and lower atmosphere, complex microphysics, and variability and dynamics. Nearly all of the coronal heating mechanisms that have been proposed produce heating that is impulsive from the perspective of elemental magnetic flux strands. It is this perspective that must be adopted to understand how the plasma responds and radiates. In our opinion, the most promising explanation offered so far is Parker's idea of nanoflares occurring in magnetic fields that become tangled by turbulent convection. Exciting new developments include the identification of the “secondary instability” as the likely mechanism of energy release and the demonstration that impulsive heating in sub-resolution strands can explain certain observed properties of coronal loops that are otherwise very difficult to understand. Whatever the detailed mechanism of energy release, it is clear that some form of magnetic reconnection must be occurring at significant altitudes in the corona (above the magnetic carpet), so that the tangling does not increase indefinitely. This article outlines the key elements of a comprehensive strategy for solving the coronal heating problem and warns of obstacles that must be overcome along the way.
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References
Aly, J. J. and Amari, T.: 1997, Astron. Astrophys. 319, 699.
Antiochos, S. K. and Dahlburg, R. B.: 1997, Solar Phys. 174, 5.
Antiochos, S. K. and DeVore, C. R.: 2004, Eos Trans. AGU, 85(47), Fall Meeting Abstract DN43B-06.
Antiochos, S. K. and Noci, G.: 1986, Astrophys. J. 301, 440.
Antiochos, S. K., DeLuca, E. E., Golub, L., and McMullen, R. A.: 2000, Astrophys. J. 542, L151.
Antiochos, S. K., MacNeice, P. J., Spicer, D. S., and Klimchuk, J. A.: 1999, Astrophys. J. 512, 985.
Antiochos, S. K., Karpen, J. T., DeLuca, E. E., Golub, L., and Hamilton, P.: 2003, Astrophys. J. 590, 54.
Aschwanden, M. J.: 2002, Astrophys. J. 580, L79.
Aschwanden, M. J.: 2004, Physics of the Solar Corona: An Introduction, Springer, Berlin.
Aschwanden, M. J.: 2005, Astrophys. J. Lett. 634, L193.
Aschwanden, M. J. and Nightingale, R. W.: 2005, Astrophys. J. 633, 499.
Aschwanden, M. J., Schrijver, C. J., and Alexander, D.: 2001, Astrophys. J. 550, 1036.
Aschwanden, M. J., Newmark, J. S., Delaboudinière, J.-P., Neupart, W. M., Klimchuk, J. A., Gary, G. A. et al.: 1999, Astrophys. J. 515, 842.
Berger, M. A.: 1984, Geophys. Astrophys. Fluid Dyn. 30, 79.
Berger, T. E. and Title, A. M.: 1996, Astrophys. J. 463, 365.
Berghmans, D. and Clette, F.: 1999, Solar Phys. 186, 207.
Bhattacharjee, A.: 2004, Annu. Rev. Astron. Astrophys. 42, 365.
Birn, J., Drake, J. G., Shay, M. A., Rogers, B. N., Denton, R. E., Hesse, M. et al.: 2001, J. Geophys. Res. 106, 3715.
Biskamp, D.: 1993, Nonlinear Magnetohydrodynamics, Cambridge University Press, Cambridge.
Bogdan, T. J., Carlsson, M., Hansteen, V. H., McMurry, A., Rosenthal, C. S., Johnson, M. et al.: 2003, Astrophys. J. 599, 626.
Bradshaw, S. J. and Mason, H. E.: 2003a, Astron. Astrophys. 401, 699.
Bradshaw, S. J. and Mason, H. E.: 2003b, Astron. Astrophys. 407, 1127.
Braginskii, A. I.: 1965, Rev. Plasma Phys. 1, 205.
Brosius, J. W., Davila, J. M., and Thomas, R. J.: 1996, Astrophys. J. Suppl. 106, 143.
Cargill, P. J.: 1994, Astrophys. J. 422, 381.
Cargill, P. J. and Klimchuk, J. A.: 1997, Astrophys. J. 478, 799.
Cargill, P. J. and Klimchuk, J. A.: 2004, Astrophys. J. 609, 911.
Close, R. M., Parnell, C. E., MacKay, D. H., and Priest, E. R.: 2003, Solar Phys. 212, 251.
Collins, W.: 1992, Astrophys. J. 384, 319.
Dahlburg, R. B., Klimchuk, J. A., and Antiochos, S. K.: 2003, Adv. Space Res. 32, 1029.
Dahlburg, R. B., Klimchuk, J. A., and Antiochos, S. K.: 2005, Astrophys. J. 622, 1191.
Davila, J. M.: 1987, Astrophys. J. 317, 514.
De Groof, A. and Goossens, M.: 2002, Astron. Astrophys. 386, 691.
Del Zanna, G. and Mason, H. E.: 2003, Astron. Astrophys. 406, 1089.
De Moortel, I., Hood, A. W., Ireland, J., and Walsh, R. W.: 2002, Solar Phys. 209, 61.
Démoulin, P., van Driel-Gesztelyi, L., Mandrini, C. H., Klimchuk, J. A., and Harra, L.: 2003, Astrophys. J. 586, 592.
Dere, K. P., Landi, E., Mason, H. E., Monsignori-Fossi, B. C., and Young, P. R.: 1997, Astron. Astrophys. Suppl. 125, 149.
Dmitruk, P., Gómez, D. O., and DeLuca, E. E.: 1998, Astrophys. J. 505, 974.
Domínguez Cerdeña, I., Kneer, F., and Sánchez Almeida, J.: 2003, Astrophys. J. Lett. 582, L55.
Drake, J. F., Shay, M. A., Thongthai, W., and Swisdak, M.: 2005, Phys. Rev. Lett. 94, 95001.
Edlen, B.: 1942, Zs. Ap. 22, 30.
Einaudi, G., Velli, M., Politano, H., and Pouquet, A.: 1996, Astrophys. J. 294, 575.
Erdélyi, R. and Goossens, M.: 1995, Astron. Astrophys. 386, 691.
Erdélyi, R., Ballester, J. L., and Fleck, B. (eds.): 2004, Proc. SOHO-13 Workshop on Waves, Oscillations, and Small-Scale Events in the Solar Atmosphere (ESA SP-547), ESA, Noordwijk, Holland.
Feldman, U. and Widing, K. J.: 2003, Space Sci. Rev. 107, 665.
Feldman, U., Widing, K. J., and Warren, H. P.: 1999, Astrophys. J. 522, 1133.
Feldman, U., Widing, K. J., and Warren, H. P.: 2000, Astrophys. J. 529, 1145.
Fisher, G. H., Longcope, D. W., Metcalf, T. R., and Pevtsov, A. A.: 1998, Astrophys. J. 508, 885.
Foley, C. R., Patsourakos, S., Culhane, J. L., and MacKay, D.: 2002, Astron. Astrophys. 381, 1049.
Fontenla, J. M., Avrett, E. H., and Loeser, R.: 1990, Astrophys. J. 355, 700.
Fontenla, J. M., Avrett, E. H., and Loeser, R.: 1991, Astrophys. J. 377, 712.
Forbes, T. G. and Isenberg, A.: 1991, Astrophys. J. 373, 294.
Galsgaard, K. and Nordlund, A.: 1996, J. Geophys. Res. 101, 13445.
Gombosi, T. I., Powell, K. G., De Zeeuw, D. L., Clauer, C. R., Hansen, K. C., Manchester, W. B. et al.: 2004, Comput. Sci. Eng. 6, 14.
Gómez, D. O.: 1990, Fundam. Cosmic Phys. 14, 131.
Grotrian, W.: 1939, Naturwissenschaften 27, 214.
Gudiksen, B. V. and Nordlund, Å.: 2002, Astrophys. J. 572, L113.
Gudiksen, B. V. and Nordlund, Å.: 2005a, Astrophys. J. 618, 1020.
Gudiksen, B. V. and Nordlund, Å.: 2005b, Astrophys. J. 623, 600.
Hendrix, D. L., Van Hoven, G., Mikić, Z., and Schnack, D. D.: 1996, Astrophys. J. 470, 1192.
Heyvaerts, J. and Priest, E. R.: 1983, Astron. Astrophys. 117, 220.
Hollweg, J. V.: 1981, Solar Phys. 70, 25.
Hollweg, J. V.: 1984, Astrophys. J. 277, 392.
Hollweg, J. V.: 1985, in B. Buti (ed.), Advances in Space Plasma Physics, World Scientific, Singapore, p. 77.
Hood, A. W. and Priest, E. R.: 1979, Solar Phys. 64, 303.
Hoshino, M.: 1991, J. Geophys. Res. 96, 11555.
Ionson, J. A.: 1978, Astrophys. J. 226, 65.
Ionson, J. A.: 1982, Astrophys. J. 254, 318.
Inverarity, G. W., Priest, E. R., and Heyvaerts, J.: 1995, Astron. Astrophys. 293, 913.
Karpen, J. T. and DeVore, C. R.: 1987, Astrophys. J. 320, 904.
Karpen, J. T., Antiochos, S. K., and DeVore, C. R.: 1996, Astrophys. J. 460, L73.
Karpen, J. T., Antiochos, S. K., and Klimchuk, J. A.: 2005, Astrophys. J. 637, 531.
Karpen, J. T., Antiochos, S. K., Hohensee, M., Klimchuk, J. A., and MacNeice, P. J.: 2001, Astrophys. J. 553, L85.
Klimchuk, J. A.: 2000, Solar Phys. 193, 53.
Klimchuk, J. A.: 2002, in G. Fisher and D. Longcope (eds.), ITP Conference on Solar Magnetism and Related Astrophysics, U. California Santa Barbara (http://online.kitp.ucsb.edu/online/solar_c02/klimchuk/).
Klimchuk, J. A.: 2004, in R. W. Walsh, J. Ireland, D. Danesy, and B. Fleck (eds.), Proceedings of the SOHO-15 Workshop – Coronal Heating (ESA SP-575), ESA Pub. Div., Noordwijk, Holland, p. 2.
Klimchuk, J. A. and Cargill, P. J.: 2001, Astrophys. J. 553, 440.
Klimchuk, J. A. and Porter, L. J.: 1995, Nature 377, 131.
Klimchuk, J. A., Patsourakos, S., and Winebarger, A. R.: 2003, Bull. Am. Astron. Soc. 35, 825.
Klimchuk, J. A., Tanner, S. E. M., and DeMoortel, I.: 2004, Astrophys. J. 616, 1232.
Kopp, R. A. and Poletto, G.: 1993, Astrophys. J. 418, 496.
Kulsrud, R. M.: 2001, Earth Planets Space 53, 417.
Landi, E. and Landini, M.: 2004, Astrophys. J. 608, 1133.
Lean, J.: 1997, Annu. Rev. Astron. Astrophys. 35, 33.
Linton, M. G., Dahlburg, R. B., and Antiochos, S. K.: 2001, Astrophys. J. 553, 905.
Lionello, R., Linker, J. A., and Mikić, Z.: 2001, Astrophys. J. 546, 542.
Lionello, R., Velli, M., Einaudi, G., and Mikić, Z.: 1998, Astrophys. J. 494, 840.
Litwin, C. and Rosner, R.: 1998, Astrophys. J. 499, 945.
Longcope, D. W.: 1996, Solar Phys. 169, 91.
Longcope, D. W.: 1998, Astrophys. J. 507, 433.
Longcope, D. W.: 2004, in R. W. Walsh, J. Ireland, D. Danesy, and B. Fleck (eds.), Proceedings of the SOHO 15 Workshop on Coronal Heating, (ESA SP-575), ESA, Noordwijk, Holland, p. 198.
Longcope, D. W. and Sudan, R. N.: 1992, Astrophys. J. 384, 305.
López Fuentes, M. C., Klimchuk, J. A., and Démoulin, P.: 2005, Astrophys. J., in press.
López Fuentes, M. C., Mandrini, C. H., and Klimchuk, J. A.: 2004, Bull. Am. Astron. Soc. 36, 761.
Luciani, J. F., Mora, P., and Virmont, J.: 1983, Phys. Rev. Lett. 51, 1664.
Lundquist, L. L., Fisher, G. H., McTiernan, J. M., and Régnier, S.: 2004, in R. W. Walsh, J. Ireland, D. Danesy, and B. Fleck (eds.), Proceedings of the SOHO-15 Workshop – Coronal Heating (ESA SP-575), ESA Pub. Div., Noordwijk, Holland, p. 306.
Mandrini, C. H., Démoulin, P., and Klimchuk, J. A.: 2000, Astrophys. J. 530, 999.
Mariska, J. T., Boris, J. P., Oran, E. S., Young, T. R., and Doschek, G. A.: 1982, Astrophys. J. 255, 783.
Martens, P. C. H., Cirtain, J. W., and Schmelz, J. T.: 2002, Astrophys. J. 577, L115.
Mazzotta, P., Mazzitelli, G., Colafrancesco, S., and Vittoria, N.: 1998, Astron. Astrophys. Suppl. 133, 403.
Mendoza-Briceno, C. A., Erdélyi, R., and Sigalotti, L.: 2002, Astrophys. J. 579, L49.
Mok, Y., Mikić, Z., Lionello, R., and Linker, J. A.: 2005, Astrophys. J. 621, 1098.
Moore, R. L., Musielak, Z. E., Suess, S. T., and An, C.-H.: 1991, Astrophys. J. 378, 347.
Mueller, D. A. N., Hansteen, V. H., and Peter, H.: 2003, Astron. Astrophys. 411, 605.
Muller, R.: 1994, in R. J. Rutten and C. J. Schrijver (eds.), Solar Surface Magnetism, Kluwer, Dordrecht, Holland, p. 55.
Muller, R., Roudier, T., Vigneau, J., and Auffret, H.: 1994, Astron. Astrophys. 283, 232.
Nagata, S., Hara, H., Kano, R., Kobayashi, K., Sakao, T., Shimizu, T. et al.: 2003, Astrophys. J. 590, 1095.
Nakariakov, V. M., Ofman, L., DeLuca, E. E., Roberts, B., and Davila, J. M.: 1999, Science 285, 862.
Narain, U. and Ulmschneider, P.: 1996, Space Sci. Rev. 75, 453.
Nitta, N.: 2000, Solar Phys. 195, 123.
Noglik, J. B., Walsh, R. W., and Ireland, J.: 2004, in R. W. Walsh, J. Ireland, D. Danesy, and B. Fleck (eds.), Proceedings of the SOHO-15 Workshop – Coronal Heating (ESA SP-575), ESA Pub. Div., Noordwijk, Holland, p. 557.
Noglik, J. B., Walsh, R. W., and Ireland, J.: 2005, Astrophys. J., in preparation.
Ofman, L. and Aschwanden, M. J.: 2002, Astrophys. J. 567, L153.
Ofman, L., Davila, J. M., and Steinolfson, R. S.: 1994, Astrophys. J. 421, 360.
Ofman, L., Klimchuk, J. A., and Davila, J. M.: 1998, Astrophys. J. 493, 474.
Orrall, F. Q., Rottman, G. J., Fisher, R. R., and Munro, R. H.: 1990, Astrophys. J. 349, 656.
Parker, E. N.: 1973, J. Plasma Phys. 9, 49.
Parker, E. N.: 1983, Astrophys. J. 264, 642.
Parker, E. N.: 1988, Astrophys. J. 330, 474.
Parker, E. N.: 1991, Astrophys. J. 372, 719.
Parnell, C. E..: 2004, in R. W. Walsh, J. Ireland, D. Danesy, and B. Fleck (eds.), Proceedings of the SOHO-15 Workshop – Coronal Heating (ESA SP-575), ESA Pub. Div., Noordwijk, Holland, p. 227.
Patsourakos, S. and Klimchuk, J. A.: 2005a, Astrophys. J. 628, 1023.
Patsourakos, S. and Klimchuk, J. A.: 2005b, Astrophys. J., submitted.
Patsourakos, S. and Klimchuk, J. A.: 2005c, in preparation.
Patsourakos, S., Klimchuk, J. A., and MacNeice, P. J.: 2004, Astrophys. J. 603, 322.
Peter, H.: 2001, Astron. Astrophys. 374, 1108.
Pevtsov, A. A., Fisher, G. H., Acton, L. W., Longcope, D. W., Johns-Krull, C. M., Kankelborg, C. C. et al.: 2003, Astron. Astrophys. 598, 1387.
Poedts, S., Goossens, M., and Kerner, W.: 1989, Solar Phys. 123, 83.
Porter, L. J. and Klimchuk, J. A.: 1995, Astrophys. J. 454, 499.
Porter, L. J., Klimchuk, J. A., and Sturrock, P. A.: 1994, Astrophys. J. 435, 482.
Priest, E. R. and Forbes, T.: 2000, Magnetic Reconnection: MHD Theory and Applications, Cambridge University Press, Cambridge.
Priest, E. R., Heyvaerts, J. F., and Title, A. M.: 2002, Astrophys. J. 576, 533.
Raymond, J. C.: 1990, Astrophys. J. 365, 387.
Reale, F. and Ciaravella, A.: 2005, Astron. Astrophys., in press.
Reale, F. and Peres, G.: 2000, Astrophys. J. Lett. 528, L45.
Reale, F., Peres, G., Serio, S., Betta, R. M., DeLuca, E. E., and Golub, L.: 2000, Astrophys. J. 535, 423.
Roussel-Dupree, R.: 1980, Astrophys. J. 241, 402.
Sarro, L. M., Erdélyi, R., Doyle, J. G., and Pérez, M. E.: 1999, Astron. Astrophys. 351, 721.
Savin, D. W. and Laming, J. M.: 2002, Astrophys. J. 566, 1166.
Schmelz, J. T.: 2002, Astrophys. J. Lett. 578, L161.
Schmelz, J. T. and Martens, P. C. H.: 2006, Astrophys. J. 636, L49.
Schmelz, J. T., Scopes, R. T., Cirtain, J. W., Wither, H. D., and Allen, J. D.: 2001, Astrophys. J. 556, 896.
Schmelz, J. T., Beene, J. E., Nasraoui, K., Blevins, H. T., Martens, P. C. H., and Cirtain, J. W.: 2003, Astrophys. J. 599, 604.
Schmieder, B., Rust, D. M., Georgoulis, M. K., Démoulin, P., and Bernasconi, P. N.: 2004, Astrophys. J. 601, 530.
Schrijver, C. J.: 2005 in Chromospheric and Coronal Magnetic Fields, (ESA SP-596) ESA eds.: D.E. Innes, A. Lagq and S.K. Solanki, publ. on CDROM, p. 32. 1.
Schrijver, C. J. and Aschwanden, M. J.: 2002, Astrophys. J. 566, 1147.
Schrijver, C. J. and Harvey, K. L.: 1994, Solar Phys. 150, 1.
Schrijver, C. J. and Title, A. M.: 2002, Solar Phys. 207, 223.
Schrijver, C. J. and van Ballegooijen, A. A.: 2005, Astrophys. J. 630, 552.
Schrijver, C. J., Sandman, A. W., Aschwanden, M. J., and DeRosa, M. L.: 2004, Astrophys. J. 615, 512.
Schrijver, C. J., Title, A. M., Harvey, K. L., Sheeley, N. R., Jr., Wang, Y. M., van den Oord, G. H. J. et al.: 1998, Nature 394, 152.
Scudder, J. D.: 1992, Astrophys. J. 398, 319.
Shimizu, T.: 1995, Pub. Astron. Soc. Japan 47, 251.
Similon, P. L. and Sudan, R. N.: 1989, Astrophys. J. 336, 442.
Socas-Navarro, H. and Sánchez Almeida, J.: 2002, Astrophys. J. 565, 1323.
Solanki, S. K.: 1993, Space Sci. Rev. 63, 1.
Spadaro, D., Leto, P., and Antiochos, S. K.: 1994, Astrophys. J. 427, 453.
Spadaro, D., Zappala, R. A., Antiochos, S. K., Lanzafame, G., and Noci, G.: 1990, Astrophys. J. 362, 370.
Spadaro, D., Lanza, A. F., Lanzafame, A. C., Karpen, J. T., Antiochos, S. K., Klimchuk, J. A., and MacNeice, P. J.: 2003, Astrophys. J. 582, 486.
Stein, R. F. and Nordlund, Å.: 1991, in P. Ulmschneider, E. R. Priest, and R. Rosner (eds.), Mechanisms of Chromospheric and Coronal Heating, Springer-Verlag, Berlin, 386.
Steinolfson, R. S. and Davila, J. M.: 1993, Astrophys. J. 415, 354.
Sturrock, P. A.: 1999, Astrophys. J. 521, 451.
Taylor, J. B.: 1974, Phys. Rev. Lett. 33, 1139.
Testa, P., Peres, G., and Reale, F.: 2005, Astrophys. J. 622, 695.
Ugai, M.: 1999, Phys. Plasmas 6, 1522.
Ugarte-Urra, I., Winegarger, A. R., and Warren, H. P.: 2005, Astrophys. J., submitted.
Ulrich, R. K.: 1996, Astrophys. J. 465, 436.
Uzdensky, D. A.: 2003, Astrophys. J. 587, 450.
van Ballegooijen, A. A.: 1986, Astrophys. J. 311, 1001.
Vekstein, G. and Katsukawa, Y.: 2000, Astrophys. J. 541, 1096.
Vesecky, J. F., Antiochos, S. K., and Underwood, J. H.: 1979, Astrophys. J. 233, 987.
Walsh, R. W. and Galtier, S.: 2000, Solar Phys. 197, 57.
Walsh, R.W and Ireland, J.: 2003, Astron. Astrophys. Rev. 12, 1.
Walsh, R. W., Bell, G. E., and Hood, A. W.: 1997, Solar Phys. 171, 81.
Warren, H. P. and Doschek, G. A.: 2005, Astrophys. J. 618, L157.
Warren, H. P. and Winebarger, A. R.: 2005, Astrophys. J., in preparation.
Warren, H. P., Winebarger, A. R., and Hamilton, P. S.: 2002, Astrophys. J. Lett. 579, L41.
Warren, H. P., Winebarger, A. R., and Mariska, J. T.: 2003, Astrophys. J. 593, 1174.
Weber, M. A., Schmelz, J. T., DeLuca, E. E., and Roames, J. K.: 2005, Astrophys. J. 635, L101.
Winebarger, A. R. and Warren, H. P.: 2004, Astrophys. J. Lett. 610, L129.
Winebarger, A. R. and Warren, H. P.: 2005, Astrophys. J. 626, 543.
Winebarger, A. R., Warren, H. P., and Mariska, J. T.: 2003, Astrophys. J. 587, 439.
Winebarger, A. R., Warren, H. P., and Seaton, D. B.: 2003, Astrophys. J. 593, 1164.
Withbroe, G. L. and Noyes, R. W.: 1977, Ann. Rev. Astron. Astrophys. 15, 363.
Woods, D. T. and Holzer, T. E.: 1991, Astrophys. J. 375, 800.
Yashiro, S. and Shibata, K.: 2001, Astrophys. J. Lett. 550, L113.
Yokoyama, T.: 1998, in T.-D. Guyenne (ed.), Solar Jets and Coronal Plumes (ESA SP-421), ESA, Noordwijk, 215.
Yokoyama, T. and Shibata, K.: 2001, Astrophys. J. 549, 1160.
Zirker, J. B.: 1993, Solar Phys. 148, 43.
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Klimchuk, J.A. On Solving the Coronal Heating Problem. Sol Phys 234, 41–77 (2006). https://doi.org/10.1007/s11207-006-0055-z
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DOI: https://doi.org/10.1007/s11207-006-0055-z