Abstract
The origins of the hot solar corona and the supersonically expanding solar wind are still the subject of much debate. This paper summarizes some of the essential ingredients of realistic and self-consistent models of solar wind acceleration. It also outlines the major issues in the recent debate over what physical processes dominate the mass, momentum, and energy balance in the accelerating wind. A key obstacle in the way of producing realistic simulations of the Sun-heliosphere system is the lack of a physically motivated way of specifying the coronal heating rate. Recent models that assume the energy comes from Alfvén waves that are partially reflected, and then dissipated by magnetohydrodynamic turbulence, have been found to reproduce many of the observed features of the solar wind. This paper discusses results from these models, including detailed comparisons with measured plasma properties as a function of solar wind speed. Some suggestions are also given for future work that could answer the many remaining questions about coronal heating and solar wind acceleration.
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S.K. Antiochos, Z. Mikić, R. Lionello, V. Titov, J. Linker, Astrophys. J. (2010, submitted)
M.J. Aschwanden, Physics of the Solar Corona: An Introduction with Problems and Solutions, 2nd edn. (Springer, Berlin, 2006)
M.J. Aschwanden, in Waves and Oscillations in the Solar Atmosphere: Heating and Magneto-Seismology, ed. by R. Erdélyi, C.A. Mendoza-Briceño. Proc. IAU Symp., vol. 247 (Cambridge U. Press, Cambridge, 2008), p. 257
W.I. Axford, J.F. McKenzie, in Solar Wind Seven, ed. by E. Marsch, R. Schwenn (Pergamon, New York, 1992), p. 1
J.W. Belcher, Astrophys. J. 168, 509–524 (1971)
T.J. Bogdan, M. Carlsson, V.H. Hansteen et al., Astrophys. J. 599, 626–660 (2003)
B.A. Breech, W.H. Matthaeus, S.R. Cranmer, J.C. Kasper, S. Oughton, J. Geophys. Res. 114, A09103 (2009)
H.S. Byhring, R. Esser, Ø. Lie-Svendsen, Astrophys. J. 673, L91–L94 (2008)
B.D.G. Chandran, J.V. Hollweg, Astrophys. J. 707, 1659–1667 (2009)
P.J. Coleman Jr., Astrophys. J. 153, 371–388 (1968)
S.R. Cranmer, Space Sci. Rev. 101, 229–294 (2002)
S.R. Cranmer, in SOHO-15: Coronal Heating, ed. by R.W. Walsh, J. Ireland, D. Danesy, B. Fleck. ESA SP, vol. 575 (ESA, Noordwijk, 2004), p. 154
S.R. Cranmer, Living Rev. Sol. Phys. 6, 3 (2009)
S.R. Cranmer, Astrophys. J. 710, 676–688 (2010)
S.R. Cranmer, J.L. Kohl, M.P. Miralles, A.A. van Ballegooijen, in SOHO-23: Understanding a Peculiar Solar Minimum, ed. by S.R. Cranmer, J.T. Hoeksema, J.L. Kohl. ASP Conf. Ser., vol. 428 (ASP, San Francisco, 2010), p. 209. arXiv:1002.0297
S.R. Cranmer, W.H. Matthaeus, B.A. Breech, J.C. Kasper, Astrophys. J. 702, 1604–1614 (2009)
S.R. Cranmer, A.A. van Ballegooijen, Astrophys. J. Suppl. 156, 265–293 (2005)
S.R. Cranmer, A.A. van Ballegooijen, Astrophys. J. (2010, in press). arXiv:1007.2383
S.R. Cranmer, A.A. van Ballegooijen, R.J. Edgar, Astrophys. J. Suppl. 171, 520–551 (2007)
B. De Pontieu, S.W. McIntosh, M. Carlsson, V.H. Hansteen, T.D. Tarbell, C.J. Schrijver, A.M. Title, R.A. Shine, S. Tsuneta, Y. Katsukawa, K. Ichimoto, Y. Suematsu, T. Shimizu, S. Nagata, Science 318, 1574–1577 (2007)
R.L. Dewar, Phys. Fluids 13, 2710–2720 (1970)
P. Dmitruk, W.H. Matthaeus, L.J. Milano, S. Oughton, G.P. Zank, D.J. Mullan, Astrophys. J. 575, 571–577 (2002)
J.F. Dowdy Jr., D. Rabin, R.L. Moore, Sol. Phys. 105, 35–45 (1986)
G. Einaudi, P. Boncinelli, R.B. Dahlburg, J.T. Karpen, J. Geophys. Res. 104, 521–534 (1999)
E. Endeve, T.E. Holzer, E. Leer, Astrophys. J. 603, 307–321 (2004)
E. Endeve, E. Leer, T.E. Holzer, Astrophys. J. 589, 1040–1053 (2003)
R. Esser, R.J. Edgar, Astrophys. J. 532, L71–L74 (2000)
R. Esser, Ø. Lie-Svendsen, Å.M. Janse, M.A. Killie, Astrophys. J. 629, L61–L64 (2005)
L.A. Fisk, J. Geophys. Res. 108, 1157 (2003)
L.A. Fisk, N.A. Schwadron, T.H. Zurbuchen, J. Geophys. Res. 104, 19765–19772 (1999)
D. Fujimura, S. Tsuneta, Astrophys. J. 702, 1443–1457 (2009)
A.H. Gabriel, Philos. Trans. R. Soc. A 281, 339–352 (1976)
G. Gloeckler, T.H. Zurbuchen, J. Geiss, J. Geophys. Res. 108, 1158 (2003)
B.E. Goldstein, M. Neugebauer, J.L. Phillips, S. Bame, J.T. Gosling, D. McComas, Y.-M. Wang, N.R. Sheeley, S.T. Suess, Astron. Astrophys. 316, 296–303 (1996)
R. Hammer, Astrophys. J. 259, 767–791 (1982)
V.H. Hansteen, E. Leer, J. Geophys. Res. 100, 21577–21594 (1995)
V.H. Hansteen, E. Leer, T.E. Holzer, Astrophys. J. 482, 498–509 (1997)
L.K. Harra, T. Sakao, C.H. Mandrini, H. Hara, S. Imada, P.R. Young, L. van Driel-Gesztelyi, D. Baker, Astrophys. J. 676, L147–L150 (2008)
S.S. Hasan, A.A. van Ballegooijen, W. Kalkofen, O. Steiner, Astrophys. J. 631, 1270–1280 (2005)
J.V. Hollweg, J. Geophys. Res. 91, 4111–4125 (1986)
J.V. Hollweg, J. Astrophys. Astron. 29, 217–237 (2008)
J.V. Hollweg, S.R. Cranmer, B.D.G. Chandran, Astrophys. J. (2010, submitted)
J.V. Hollweg, P.A. Isenberg, J. Geophys. Res. 107, 1147 (2002)
T.E. Holzer, W.I. Axford, Ann. Rev. Astron. Astrophys. 8, 31–60 (1970)
P.S. Iroshnikov, Sov. Astron. 7, 566–571 (1964)
S.A. Jacques, Astrophys. J. 215, 942–951 (1977)
J.A. Klimchuk, Sol. Phys. 234, 41–77 (2006)
J.L. Kohl, R. Jain, S.R. Cranmer, L.D. Gardner, A.K. Pradhan, J.C. Raymond, L. Strachan, J. Astrophys. Astron. 29, 321–327 (2008)
J.L. Kohl, G. Noci, S.R. Cranmer, J.C. Raymond, Astron. Astrophys. Review 13, 31–157 (2006)
R.A. Kopp, T.E. Holzer, Sol. Phys. 49, 43–56 (1976)
R.H. Kraichnan, Phys. Fluids 8, 1385–1387 (1965)
J.M. Laming, Astrophys. J. 614, 1063–1072 (2004)
E. Leer, V.H. Hansteen, T.E. Holzer, in Cyclical Variability in Stellar Winds, ed. by L. Kaper, A.W. Fullerton (Springer, Berlin, 1998), p. 263
E. Leer, T.E. Holzer, J. Geophys. Res. 85, 4681–4688 (1980)
E. Leer, T.E. Holzer, T. Flå, Space Sci. Rev. 33, 161–200 (1982)
E. Leer, E. Marsch, Space Sci. Rev. 87, 67–77 (1999)
X. Li, Astron. Astrophys. 406, 345–356 (2003)
Ø. Lie-Svendsen, R. Esser, Astrophys. J. 618, 1057–1073 (2005)
E. Marsch, Living Rev. Sol. Phys. 3, 1 (2006)
E. Marsch, K.H. Mühlhäuser, H. Rosenbauer, R. Schwenn, J. Geophys. Res. 88, 2982–2992 (1983)
E. Marsch, K.M. Thieme, H. Rosenbauer, W.G. Pilipp, J. Geophys. Res. 94, 6893–6898 (1989)
E. Marsch, H. Tian, J. Sun, W. Curdt, T. Wiegelmann, Astrophys. J. 685, 1262–1269 (2008)
R.G. Marsden, B. Fleck, in The Physics of Chromospheric Plasmas, ed. by P. Heinzel, I. Dorotovič, R. Rutten. ASP Conf. Ser., vol. 368 (ASP, San Francisco, 2007), p. 645
T. Matsumoto, K. Shibata, Astrophys. J. 710, 1857–1867 (2010)
W.H. Matthaeus, H.A. Elliot, D.J. McComas, J. Geophys. Res. 111, A10103 (2006)
W.H. Matthaeus, G.P. Zank, S. Oughton, D.J. Mullan, P. Dmitruk, Astrophys. J. 523, L93–L96 (1999)
D.J. McComas, R.W. Ebert, H.A. Elliott, B.E. Goldstein, J.T. Gosling, N.A. Schwadron, R.M. Skoug, Geophys. Res. Lett. 35, L18103 (2008)
D.J. McComas, M. Velli, W.S. Lewis et al., Rev. Geophys. 45, RG1004 (2007)
A. Nakamizo, T. Tanaka, Y. Kubo, S. Kamei, H. Shimazu, H. Shinagawa, J. Geophys. Res. 114, A07109 (2009)
P. Nisenson, A.A. van Ballegooijen, A.G. de Wijn, P. Sütterlin, Astrophys. J. 587, 458–463 (2003)
L. Ofman, J.M. Davila, J. Geophys. Res. 103, 23677–23690 (1998)
A.C. Pagel, N.U. Crooker, T.H. Zurbuchen, J.T. Gosling, J. Geophys. Res. 109, A01113 (2004)
E.N. Parker, Astrophys. J. 128, 664–676 (1958)
G.W. Pneuman, Astron. Astrophys. 81, 161–166 (1980)
E.R. Priest, T.G. Forbes, Magnetic Reconnection: MHD Theory and Applications (Cambridge U. Press, Cambridge, 2000)
S. Pucci, Ø. Lie-Svendsen, R. Esser, Astrophys. J. 709, 993–1002 (2010)
J.D. Richardson, K.I. Paularena, A.J. Lazarus, J.W. Belcher, Geophys. Res. Lett. 22, 325–328 (1995)
P. Riley, J.A. Linker, Z. Mikić, R. Lionello, S.A. Ledvina, J.G. Luhmann, Astrophys. J. 653, 1510–1516 (2006)
I.I. Roussev, T.I. Gombosi, I.V. Sokolov, M. Velli, W. Manchester, D.L. DeZeeuw, P. Liewer, G. Tóth, J. Luhmann, Astrophys. J. 595, L57–L61 (2003)
N.A. Schwadron, D.J. McComas, Astrophys. J. 599, 1395–1403 (2003)
S.J. Schwartz, E. Marsch, J. Geophys. Res. 88, 9919–9932 (1983)
M. Shimojo, N. Narukage, R. Kano, T. Sakao, S. Tsuneta, K. Shibasaki, J.W. Cirtain, L.L. Lundquist, K.K. Reeves, A. Savcheva, Publ. Astron. Soc. Jpn. 59, S745–S750 (2007)
P.A. Sturrock, R.E. Hartle, Phys. Rev. Lett. 16, 628–631 (1966)
S. Subramanian, M.S. Madjarska, J.G. Doyle, Astron. Astrophys. 516, A50 (2010). arXiv:1002.1675
S.T. Suess, S. Nerney, Adv. Space Res. 33, 668–675 (2004)
T.K. Suzuki, S.-I. Inutsuka, J. Geophys. Res. 111, A06101 (2006)
A.M. Title, C.J. Schrijver, in 10th Cambridge Workshop on Cool Stars, Stellar Systems and the Sun, ed. by R.A. Donahue, J.A. Bookbinder. ASP Conf. Ser., vol. 154 (ASP, San Francisco, 1998), p. 345
S. Tomczyk, S.W. McIntosh, Astrophys. J. 697, 1384–1391 (2009)
S. Tomczyk, S.W. McIntosh, S.L. Keil, P.G. Judge, T. Schad, D.H. Seeley, J. Edmondson, Science 317, 1192–1196 (2007)
C.Y. Tu, E. Marsch, Space Sci. Rev. 73, 1–210 (1995)
C.Y. Tu, E. Marsch, H. Rosenbauer, in Solar Wind Seven, ed. by E. Marsch, R. Schwenn (Pergamon, New York, 1992), p. 555
A.M. Vásquez, A.A. van Ballegooijen, J.C. Raymond, Astrophys. J. 598, 1361–1374 (2003)
M. Velli, R. Grappin, A. Mangeney, Geophys. Astrophys. Fluid Dyn. 62, 101–121 (1991)
A. Verdini, M. Velli, E. Buchlin, Astrophys. J. 700, L39–L42 (2009)
A. Verdini, M. Velli, W.H. Matthaeus, S. Oughton, P. Dmitruk, Astrophys. J. 708, L116–L120 (2010)
Y.-M. Wang, Y.-K. Ko, R. Grappin, Astrophys. J. 691, 760–769 (2009)
Y.-M. Wang, N.R. Sheeley Jr., Astrophys. J. 355, 726–732 (1990)
Y.-M. Wang, N.R. Sheeley Jr., Astrophys. J. 372, L45–L48 (1991)
Y.-M. Wang, N.R. Sheeley Jr., D.G. Socker, R.A. Howard, G.E. Brueckner, D.J. Michels, D. Moses, O.C.St. Cyr, A. Llebaria, J.P. Delaboudinière, Astrophys. J. 508, 899–907 (1998)
G.L. Withbroe, Astrophys. J. 325, 442–467 (1988)
T.H. Zurbuchen, Ann. Rev. Astron. Astrophys. 45, 297–338 (2007)
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Cranmer, S.R. Self-Consistent Models of the Solar Wind. Space Sci Rev 172, 145–156 (2012). https://doi.org/10.1007/s11214-010-9674-7
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DOI: https://doi.org/10.1007/s11214-010-9674-7