Abstract
We have analyzed the long-term evolution of two active regions (ARs) from their emergence through their decay using observations from several instruments on board SoHO (MDI, EIT and LASCO) and Yohkoh/SXT. We have computed the evolution of the relative coronal magnetic helicity combining data from MDI and SXT with a linear force-free model of the coronal magnetic field. Next, we have computed the injection of helicity by surface differential rotation using MDI magnetic maps. To estimate the depletion of helicity we have counted all the CMEs of which these ARs have been the source, and we have evaluated their magnetic helicity assuming a one to one correspondence with magnetic clouds with an average helicity contain. When these three values (variation of coronal magnetic helicity, injection by differential rotation and ejection via CMEs) are compared, we find that surface differential rotation is a minor contributor to the helicity budget since CMEs carry away at least 10 times more helicity than the one differential rotation can provide. Therefore, the magnetic helicity flux needed in the global balance should come from localized photospheric motions that, at least partially, reflect the emergence of twisted flux tubes. We estimate that the total helicity carried away in CMEs can be provided by the end-to-end helicity of the flux tubes forming these ARs. Therefore, we conclude that most of the helicity ejected in CMEs is generated below the photosphere and emerges with the magnetic flux.
Similar content being viewed by others
References
Abbett, W.P., Fisher, G.F. and Fan, Y.: 2001, Astrophys. J. 546, 1194.
Alissandrakis, C.E.: 1981, Astron. Astrophys. 100, 197.
Berger, M.A.: 1984, Geophys. Astrophys. Fluid. Dynamics 30, 79.
Berger, M.A.: 1985, Astrophys. J. Sup. 59, 433.
Berger, M.A.: 1986, Geophys. Astrophys. Fluid. Dynamics 34, 265.
Berger, M.A.: 1988, Astron. Astrophys. 201, 355.
Berger, M.A.: 1999, Geophys. Mon. 111,1.
Berger, M.A. and Field, G.B.: 1984, J. Fluid. Mech. 147, 133.
Berger, T.A. and Lites, B.W.: 2003, Solar Phys. 213, 213.
Bothmer, V. and Schwenn, R.: 1994, Space Sci. Rev. 70, 215.
Brueckner, G.E., Howard, R.A., Koomen, M.J., Korendyke, C.M., Michels, D.J., Moses, J.D., Socker, D.G., Derc, K.P., Lamy, P.L., Llebaria, A., Bout, M.V., Schwenn, R., Simnett, G.M., Bedford, D.K. and Eyles, C.J.: 1995, Solar Phys. 162, 357.
Chae, J.: 2001, Astrophys. J. 560, L95.
Chae, J., Wang, H., Qiu, J., Goode, P.R., Strous, L. and Yun, H.S.: 2001, Astrophys. J. 560, 476.
Cliver, E.W. and Hudson, H.: 2002, J. Atmos. Solar Ter. Phys. 64, I2, 231.
Delaboudiniere, J.-P., Artzner, G.E., Brunaud, J., Gabriel, A.H., Hochedez, J.F., Millier, F., Song, X.Y., Au, B., Dere, K.P., Howard, R.A., Kreplin, R., Michels, D.J., Moses, J.D., Defise, J.M., Jamar, C., Rochus, P., Chauvineau, J.P., Marioge, J.P., Catura, R.C., Lemen, J.R., Shing, L., Stern, R.A., Gurman, J.B., Neupert, W.M., Maucherat, A., Clette, F., Cugnon, P. and van Dessel, E.L.: 1995, Solar Phys. 162, 291.
D´emoulin, P. and Berger, M.A.: 2003, Sol. Phys. 215, 203.
D´emoulin, P., Mandrini, C.H., van Driel-Gesztelyi, L., Thompson, B.J., Plunkett, S., Kov´ari, Zs., Aulanier, G. and Young, A.: 2002, Astron. Astrophys. 382, 650.
D´emoulin, P., Mandrini, C.H., van Driel-Gesztelyi, L., L´opez Fuentes, M. and Aulanier, G.: 2002b, Solar Phys. 207, 87.
DeVore, C.R.: 2000, Astrophys. J. 539, 944.
Dryer, M., Andrews, M.D., Aurass, H., DeForest, C., Galvin, A.B., Garcia, H., Ipavich, F.M., Karlicky, M., Kiplinger, A., Klassen, A., Meisner, R., Paswaters, S.E., Smith, Z., Tappin, S.J., Thompson, B.J., Watari, S.J., Michels, D.J., Brueckner, G.E., Howard, R.A., Koomen, M.J., Lamy, P., Mann, G., Arzner, K. and Schwenn, R.: 1998, Solar Phys. 181, 159.
Emonet, T. and Moreno-Insertis, F.: 1998, Astrophys. J. 492, 804.
Finn, J.H. and Antonsen, T.M.: 1985, Comments Plasma Phys. Contr. Fusion 9, 111.
Green, L.M., Harra, L.K., Matthews, S.A. and Culhane, J.L.: 2001, Solar Phys. 200, 189.
Green, L.M., L´opez-Fuentes, M.C., Mandrini, C.H., D´emoulin, P., van Driel-Gesztelyi, L. and Culhane, J.L.: 2002, Solar Phys. 208, 43.
Hale, G.E.: 1925, Pub. Astron. Soc. Pacific 37, 268.
Hale, G.E. and Nicholson, S.B.: 1925, Astrophys. J. 62, 270.
Hale, G.E., Ellerman, F., Nicholson, S.B. and Joy, A.H.: 1919, Astrophys. J. 49, 153.
Kusano, K., Maeshiro, T., Yokoyama, T. and Sakurai, T.: 2002, Astrophys. J. 577, 501.
Lepping, R.P., Burlaga, L.F. and Jones, J.A.: 1990, J. Geophys. Res. 95, 11957.
Lepping, R.P., Burlaga, L.F., Szabo, A., Ogilvie, K.W., Mish, W.H., Vassiliadis, D., Lazarus, A.J., Steinberg, J.T., Farrugia, C.J., Janoo, L. and Mariani, F.: 1997, J. Geophys. Res. 102, 14049.
Longcope, D.W. and Welsch, B.T.: 2000, Astrophys. J. 545, 1089.
L´opez Fuentes, M., D´emoulin, P., Mandrini, C.H. and van Driel-Gesztelyi, L.: 2000, Astrophys. J. 544, 540.
L´opez Fuentes, M., D´emoulin, P., Mandrini, C.H. and van Driel-Gesztelyi, L.: 2003, Astron. Astrophys. 397, 305.
Low, B.C.: 1996, Solar Phys. 167, 217.
Maia, D., Vourlidas, A., Pick, M., Howard, R., Schwenn, R. and Magalhes, A.: 1999, J. Geophys. Res. 104, 12507.
Mandrini, C.H., D´emoulin, P., van Driel-Gesztelyi, L., Aulanier, G., Thompson, B.J., Plunkett, S. and Kov´ari, Zs.: 2001, in: G. Mathys, S.K. Solanki and D.T. Wickramasinghe (eds.), ASP Conf. Ser.: Magnetic Fields Across the Hertzsprung-Russell Diagram (Vol. 248) p. 139.
Mandrini, C.H., van Driel-Gesztelyi, L., Thompson, B.J., Plunkett, S., D´emoulin, P. and Aulanier, G.: 2000, Geofis. Inter. 39,1,73.
Marubashi, K.: 1997, in: N. Crooker, J.A. Joselyn and J. Feynman (eds.), Coronal Mass Ejections, Geophysical Monograph 99, American Geophysical Press, Washington DC, p. 147.
Moreno-Insertis, F. and Emonet, T.: 1996, Astrophys. J. 472, L53.
Moon, Y.-J., Chae, J., Choe, G.S., Wang, H., Park, Y.D., Yun, H.S., Yurchyshyn, V. and Goode, P.R.: 2002, Astrophys. J. 574, 1066.
Nindos, A. and Zhang, H.: 2002, Astrophys. J. 573, L133.
Pevtsov, A.A. and Balasubramaniam, K.S.: 2003, Adv. Space Res. 32,Vol. 10, 1867.
Richardson, I.G.: 1997, in: N. Crooker, J.A. Joselyn and J. Feynman (eds.), Coronal Mass Ejections, Geophysical Monograph 99, American Geophysical Press, Washington DC, p. 189.
Richardson, R.S.: 1941, Astrophys. J. 93, 24.
Rust, D.M.: 1994, Geophys. Res. Lett. 21, 241.
Scherrer, P.H., Bogart, R.S., Bush, R.I., Hoeksema, J.I., Kosovicher, A.G., Schov, J., Rosenberg, W., Springer, L., Tarbell, T.D., Title, A., Wolfson, C.J., Zayer, I. and MDI Engineering Team: 1995, Solar Phys. 162, 129.
Shimazu, H. and Marubashi, K.: 2000, J. Geophys. Res. 105, 2365.
Tsuneta, S., Acton, L., Bruner, M., Lemen, J., Brown, W., Caravalho, R., Catura, R., Freeland, S., Jurcevich, B. and Owens, J.: 1991, Solar Phys. 136, 37.
van Driel-Gesztelyi: 1998, in: C.E. Alissandrakis and B. Schmieder (eds.), ASP Conf. Ser., Second Advances in Solar Physics Euroconfences: Three-Demensional Structure of Soalr Active Regions (Vol. 155) p. 202.
van Driel-Gesztelyi, L., D´emoulin, P. and Mandrini, C.H.: 2003a, Adv. Space Res. 32,(Vol. 10) p. 1855.
van Driel-Gesztelyi, L., Mandrini, C.H., Thompson, B.J., Plunkett, S., Aulanier, G., D´emoulin, P., Schmieder, B. and DeForest, C.: 1999, in: B. Schmieder, A. Hofmann and J. Staude (eds.), ASP Conf. Ser.: Magnetic Fields and Oscillations (Vol. 184) p. 302.
van Driel-Gesztelyi, L., Mandrini, C.H., D´emoulin, P.: 2003b, in: J.-C. H´enoux and C. Fang (eds.), Second Franco-Chinese Meeting on Solar Physics: Understanding Active Phenomena, Progress and Perspectives,World Publishing Corporation, 37.
Webb, D.F., Cliver, E.W., Crooker, N.U., St. Cry, O.C. and Thompson, B.J.: 2000, J. Geophys. Res. 105, 7491.
Yurchyshyn, V.B., Wang, H., Goode, P.R. and Deng, Y.: 2001, Astrophys. J. 563, 381.
Zhao, X.P., Hoeksema, J.T. and Marubashi, K.: 2001, J. Geophys. Res. 106, 15643.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mandrini, C., Démoulin, P., Van Driel-Gesztelyi, L. et al. Magnetic Helicity Budget of Solar-Active Regions from the Photosphere to Magnetic Clouds. Astrophysics and Space Science 290, 319–344 (2004). https://doi.org/10.1023/B:ASTR.0000032533.31817.0e
Issue Date:
DOI: https://doi.org/10.1023/B:ASTR.0000032533.31817.0e

