Modelling and observations of photospheric magnetic helicity

Advances in Space Research

Volumn 43, Issue 7, 2009, Pages 1013-1031

  Demoulin P ^a   Pariat, E ^b,c,d  

^a UNIVERSITÉ PARIS DIDEROT   (France)

^b NASA GODDARD SPACE FLIGHT CENTER   (United States)

^c GEORGE MASON UNIVERSITY   (United States)

^d NAVAL RESEARCH LABORATORY   (United States)

Author keywords

Corona; Coronal mass ejections; Magnetic fields; Magnetic helicity; Magneto hydrodynamic; Photosphere

Indexed keywords

LONG TERM EVOLUTION (LTE); MAGNETIC FIELDS; MAGNETIC FLUX; MAGNETOHYDRODYNAMICS; REYNOLDS NUMBER; SOLAR ENERGY; SOLAR RADIATION; SOLAR SYSTEM;

CORONA; CORONAL MASS EJECTION; DIFFERENTIAL ROTATION; MAGNETIC HELICITY; MAGNETIC REYNOLDS NUMBER; PHOTOSPHERE; PHYSICAL QUANTITIES; SPATIAL INFORMATIONS;

MAGNETOPLASMA;

EID: 61449234135     PISSN: 02731177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asr.2008.12.004     Document Type: Article

References (89)

1. Alexakis A., Mininni P.D., and Pouquet A. On the inverse cascade of magnetic helicity. ApJ 640 (2006) 335-343
2. Amari T., Luciani J.F., Aly J.J., Mikic Z., and Linker J. Coronal mass ejection: initiation magnetic helicity and flux ropes. I. Boundary motion-driven evolution. ApJ 585 (2003) 1073-1086
3. Amari T., Luciani J.F., and Aly J.J. Non-current-free coronal closure of subphotospheric MHD models. ApJ 629 (2005) L37-L40
4. Aulanier G., Démoulin P., van Driel-Gesztelyi L., Mein P., and Deforest C. 3-D magnetic configurations supporting prominences. II. The lateral feet as a perturbation of a twisted flux-tube. A&A 335 (1998) 309-322
5. Bao S.D., Pevtsov A.A., Wang T.J., and Zhang H.Q. Helicity computation using observations from two different polarimetric instruments. SoPh 195 (2000) 75-87
6. Barnes D.C. Mechanical injection of magnetic helicity. Phys. Fluids 31 (1988) 2214-2220
7. Barnes G., Longcope D.W., and Leka K.D. Implementing a magnetic charge topology model for solar active regions. ApJ 629 (2005) 561-571
8. Berger M.A. Rigorous new limits on magnetic helicity dissipation in the solar corona. Geophys. Astrophys. Fluid Dyn. 30 (1984) 79-104
9. Berger M.A. An energy formula for nonlinear force-free magnetic fields. A&A 201 (1988) 355-361
10. Berger, M.A. Topological quantities in magnetohydrodynamics. In: Advances in Nonlinear Dynamics. pp. 345-383, 2003.
11. Berger M.A., and Field G.B. The topological properties of magnetic helicity. J. Fluid Mech. 147 (1984) 133-148
12. Berger M.A., and Prior C. The writhe of open and closed curves. J. Phys. A 39 (2006) 8321-8348
13. Bothmer V., and Schwenn R. The structure and origin of magnetic clouds in the solar wind. Ann. Geophys. 16 (1998) 1-24
14. Brandenburg A., and Subramanian K. Astrophysical magnetic fields and nonlinear dynamo theory. PhR 417 (2005) 1-209
15. Brown M., Canfield R., and Pevtsov A. Magnetic helicity in space and laboratory plasmas. Geophy. Mon. Ser. 111 (1999) AGU
16. Brown D.S., Nightingale R.W., Alexander D., Schrijver C.J., Metcalf T.R., Shine R.A., Title A.M., and Wolfson C.J. Observations of rotating sunspots from TRACE. SoPh 216 (2003) 79-108
17. Canfield R.C., Hudson H.S., and McKenzie D.E. Sigmoidal morphology and eruptive solar activity. GRL 26 (1999) 627-630
18. Chae J. Measurements of magnetic helicity injected through the solar photosphere. Adv. Space Res. 39 (2007) 1700-1705
19. Chae J., Wang H., Qiu J., Goode P.R., Strous L., and Yun H.S. The formation of a prominence in active region NOAA 8668. I. SOHO/MDI observations of magnetic field evolution. ApJ 560 (2001) 476-489
20. Chae J., Moon Y.-J., Rust D.M., Wang H., and Goode P.R. Magnetic helicity pumping by twisted flux tube expansion. JKoAS 36 (2003) 33-41
21. Chae J., Moon Y.-J., and Park Y.-D. Determination of magnetic helicity content of solar active regions from SOHO/MDI magnetograms. SoPh 223 (2004) 39-55
22. Cheung, M., Schüssler, M., Moreno-Insertis, F. 3D Magneto-convection and flux emergence in the photosphere. In: Innes, D.E., Lagg, A., Solanki, S.A. (Eds.), ESA SP-596: Chromospheric and Coronal Magnetic Fields, p. 54.1, 2005.
23. Cheung M.C.M., Moreno-Insertis F., and Schüssler M. Moving magnetic tubes: fragmentation, vortex streets and the limit of the approximation of thin flux tubes. A&A 451 (2006) 303-317
24. Cheung M.C.M., Schüssler M., Tarbell T.D., and Title A.M. Solar surface emerging flux regions: a comparative study of radiative MHD modeling and hinode SOT observations. ApJ 687 (2008) 1373-1387
25. Dasso S., Mandrini C.H., Démoulin P., and Luoni M.L. A new model-independent method to compute magnetic helicity in magnetic clouds. A&A 455 (2006) 349-359
26. Démoulin P. Recent theoretical and observational developments in magnetic helicity studies. Adv. Space Res. 39 (2007) 1674-1693
27. Démoulin P., and Berger M.A. Magnetic energy and helicity fluxes at the photospheric level. SoPh 215 (2003) 203-215
28. Démoulin P., Priest E.R., and Lonie D.P. Three-dimensional magnetic reconnection without null points. 2. Application to twisted flux tubes. JGR 101 (1996) 7631-7646
29. Démoulin P., Mandrini C.H., van Driel-Gesztelyi L., et al. What is the source of the magnetic helicity shed by CMEs? The long-term helicity budget of AR 7978. A&A 382 (2002) 650-665
30. Démoulin P., Mandrini C.H., van Driel-Gesztelyi L., López Fuentes M.C., and Aulanier G. The magnetic helicity injected by shearing motions. SoPh 207 (2002) 87-110
31. DeVore C.R. Magnetic helicity generation by solar differential rotation. ApJ 539 (2000) 944-953
32. Finn J.H., and Antonsen T.M.J. Magnetic helicity: what is it, and what is it good for?. Comments Plasma Phys. Contr. Fus. 9 (1985) 111-126
33. Frisch U., Pouquet A., Leorat J., and Mazure A. Possibility of an inverse cascade of magnetic helicity in magnetohydrodynamic turbulence. J. Fluid Mech. 68 (1975) 769-778
34. Green L.M., López Fuentes M.C., Mandrini C.H., et al. The magnetic helicity budget of a CME-prolific active region. SoPh 208 (2002) 43-68
35. Green L.M., Kliem B., Török T., van Driel-Gesztelyi L., and Attrill G.D.R. Transient coronal sigmoids and rotating erupting flux ropes. SoPh 246 (2007) 365-392
36. Hagino M., and Sakurai T. Latitude variation of helicity in solar active regions. PASJ 56 (2004) 831-843
37. Hagyard M.J., Venkatakrishnan P., and Smith Jr. J.B. Nonpotential magnetic fields at sites of gamma-ray flares. ApJS 73 (1990) 159-163
38. Hale G.E. Nature of the hydrogen vortices surrounding sunspots. PASP 37 (1925) 268-270
39. Harvey, K.L. Magnetic Bipoles on the Sun. Ph.D. Thesis, Utrecht University, 1993.
40. Heyvaerts J., and Priest E.R. Coronal heating by reconnection in DC current systems - a theory based on Taylor's hypothesis. A&A 137 (1984) 63-78
41. Jeong H., and Chae J. Magnetic helicity injection in active regions. ApJ 671 (2007) 1022-1033
42. Kusano K., Maeshiro T., Yokoyama T., and Sakurai T. Measurement of magnetic helicity injection and free energy loading into the solar corona. ApJ 577 (2002) 501-512
43. Kusano, K., Maeshiro, T., Yokoyama, T., Sakurai, T. Study of magnetic helicity in the solar corona. In: Sakurai, T., Sekii, T. (Eds.), The Solar-B Mission and the Forefront of Solar Physics, Astronomical Society of the Pacific Conference Series, vol. 325, pp. 175-184, 2004a.
44. Kusano K., Maeshiro T., Yokoyama T., and Sakurai T. The trigger mechanism of solar flares in a coronal arcade with reversed magnetic shear. ApJ 610 (2004) 537-549
45. LaBonte B.J., Georgoulis M.K., and Rust D.M. Survey of magnetic helicity injection in regions producing X-class flares. ApJ 671 (2007) 955-963
46. Lim E.-K., Jeong H., Chae J., and Moon Y.-J. A check for consistency between different magnetic helicity measurements based on the helicity conservation principle. ApJ 656 (2007) 1167-1172
47. Liu J., and Zhang H. The magnetic field, horizontal motion and helicity in a fast emerging flux region which eventually forms a delta spot. SoPh 234 (2006) 21-40
48. Longcope D.W. Inferring a photospheric velocity field from a sequence of vector magnetograms: the minimum energy fit. ApJ 612 (2004) 1181-1192
49. Longcope D.W., and Welsch B.T. A model for the emergence of a twisted magnetic flux tube. ApJ 545 (2000) 1089-1100
50. Longcope D.W., Ravindra B., and Barnes G. Determining the source of coronal helicity through measurements of braiding and spin helicity fluxes in active regions. ApJ 668 (2007) 571-585
51. López Fuentes M.C., Démoulin P., Mandrini C.H., and van Driel-Gesztelyi L. The counterkink rotation of a non-hale active region. ApJ 544 (2000) 540-549
52. López Fuentes M.C., Démoulin P., Mandrini C.H., Pevtsov A.A., and van Driel-Gesztelyi L. Magnetic twist and writhe of active regions. On the origin of deformed flux tubes. A&A 397 (2003) 305-318
53. Low B.C. Solar activity and the corona. SoPh 167 (1996) 217-265
54. Magara T. A model for dynamic evolution of emerging magnetic fields in the Sun. ApJ 605 (2004) 480-492
55. Manchester IV, W., Gombosi, T., DeZeeuw, D., Fan, Y. Eruption of a buoyantly emerging. ApJ 605, 480-492, 2004.
56. Mandrini C.H., Pohjolainen S., Dasso S., et al. Interplanetary flux rope ejected from an X-ray bright point. The smallest magnetic cloud source-region ever observed. A&A 434 (2005) 725-740
57. Manoharan P.K., van Driel-Gesztelyi L., Pick M., and Démoulin P. Evidence for large-scale solar magnetic reconnection from radio and X-ray measurements. ApJ 468 (1996) L73-L77
58. Martin, S.F., Bilimoria, R., Tracadas, P.W. Magnetic field configurations basic to filament channels and filaments. In: Rutten, R.J., Schrijver, C.J. (Eds.), Solar Surface Magnetism. p. 303, 1994.
59. Matthaeus W.H., and Goldstein M.L. Measurement of the rugged invariants of magnetohydrodynamic turbulence in the solar wind. JGR 87 (1982) 6011-6028
60. Metcalf T.R., Leka K.D., and Mickey D.L. Magnetic free energy in NOAA active region 10486 on 2003 October 29. ApJ 623 (2005) L53-L56
61. Moon Y.-J., Chae J., Wang H., Choe G.S., and Park Y.D. Impulsive variations of the magnetic helicity change rate associated with eruptive flares. ApJ 580 (2002) 528-537
62. Moore R.L., Larosa T.N., and Orwig L.E. The wall of reconnection-driven magnetohydrodynamic turbulence in a large solar flare. ApJ 438 (1995) 966-985
63. Moreno-Insertis, F. Three-dimensional numerical experiments of flux emergence into the corona. In: Shibata, K., Nagata, S., Sakurai, T. (Eds.), New Solar Physics with Solar-B Mission, Astronomical Society of the Pacific Conference Series, vol. 369, p. 335, October 2007.
64. Murray M.J., and Hood A.W. Emerging flux tubes from the solar interior into the atmosphere: effects of non-constant twist. A&A 479 (2008) 567-577
65. Murray M.J., Hood A.W., Moreno-Insertis F., Galsgaard K., and Archontis V. 3D simulations identifying the effects of varying the twist and field strength of an emerging flux tube. A&A 460 (2006) 909-923
66. Nakagawa Y., Raadu M.A., Billings D.E., and McNamara D. On the topology of filaments and chromospheric fibrils near sunspots. SoPh 19 (1971) 72-85
67. Nindos A., and Zhang H. Photospheric motions and coronal mass ejection productivity. ApJ 573 (2002) L133-L136
68. Nindos A., Zhang J., and Zhang H. The magnetic helicity budget of solar active regions and coronal mass ejections. ApJ 594 (2003) 1033-1048
69. Pariat E., Aulanier G., Schmieder B., Georgoulis M.K., Rust D.M., and Bernasconi P.N. Resistive emergence of undulatory flux tubes. ApJ 614 (2004) 1099-1112
70. Pariat E., Démoulin P., and Berger M.A. Photospheric flux density of magnetic helicity. A&A 439 (2005) 1191-1203
71. Pariat E., Nindos A., Démoulin P., and Berger M.A. What is the spatial distribution of magnetic helicity injected in a solar active region?. A&A 452 (2006) 623-630
72. Pariat E., Démoulin P., and Nindos A. How to improve the maps of magnetic helicity injection in active regions?. Adv. Space Res. 39 (2007) 1706-1714
73. Pevtsov, A.A. Sinuous coronal loops at the Sun [invited]. In: Martens, P.C.H., Cauffman, D. (Eds.), Multi-Wavelength Observations of Coronal Structure and Dynamics, pp. 125-134, 2002.
74. Pevtsov A.A., Maleev V.M., and Longcope D.W. Helicity evolution in emerging active regions. ApJ 593 (2003) 1217-1225
75. Pevtsov A.A., Canfield R.C., Sakurai T., and Hagino M. On the solar cycle variation of the hemispheric rule. ApJ 677 (2008) 719-722
76. Ravindra B., Longcope D.W., and Abbett W.P. Inferring photospheric velocity fields using a combination of minimum energy fit, local correlation tracking, and Doppler velocity. ApJ 677 (2008) 751-768
77. Rust D.M. Spawning and shedding helical magnetic fields in the solar atmosphere. GRL 21 (1994) 241-244
78. Schmieder B., Demoulin P., Aulanier G., and Golub L. Differential magnetic field shear in an active region. ApJ 467 (1996) 881-886
79. Schuck P.W. Local correlation tracking and the magnetic induction equation. ApJ 632 (2005) L53-L56
80. Schuck P.W. Tracking magnetic footpoints with the magnetic induction equation. ApJ 646 (2006) 1358-1391
81. Schuck P.W. Tracking vector magnetograms with the magnetic induction equation. ApJ 683 (2008) 1134-1152
82. Tian L., and Alexander D. On the origin of magnetic helicity in the solar corona. ApJ 673 (2008) 532-543
83. Vekstein G.E., Priest E.R., and Steele C.D.C. On the problem of magnetic coronal heating by turbulent relaxation. ApJ 417 (1993) 781-789
84. Welsch B.T., and Longcope D.W. Magnetic helicity injection by horizontal flows in the quiet Sun I. Mutual-helicity flux. ApJ 588 (2003) 620-629
85. Welsch B.T., Fisher G.H., Abbett W.P., and Regnier S. ILCT: recovering photospheric velocities from magnetograms by combining the induction equation with local correlation tracking. ApJ 610 (2004) 1148-1156
86. Welsch B.T., Abbett W.P., DeRosa M.L., Fisher G.H., Georgoulis M.K., Kusano K., Longcope D.W., Ravindra B., and Schuck P.W. Tests and comparisons of velocity-inversion techniques. ApJ 670 (2007) 1434-1452
87. Yamamoto T.T., Kusano K., Maeshiro T., Yokoyama T., and Sakurai T. Magnetic helicity injection and sigmoidal coronal loops. ApJ 624 (2005) 1072-1079
88. Yang, S., Zhang, H., Buechner J. Magnetic helicity accumulation and tilt angle evolution of newly emerging simple active regions. In: Hardi, P. (Ed.), Electronic Proceedings of 12th European Solar Physics Meeting, http://espm.kis.uni-freiburg.de. pp. 22-37, 2008.
89. Zhang M., Flyer N., and Low B.C. Magnetic field confinement in the corona: the role of magnetic helicity accumulation. ApJ 644 (2006) 575-586