Twisted flux tubes and how they get that way

Geophysical Monograph Series

Volumn 111, Issue , 1999, Pages 93-101

  Longcope, Dana W ^a   Linton, Mark G ^b   Pevtsov, Alexei A ^a   Fisher, George H ^b   Klapper, Isaac ^a  

^a MONTANA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 72849119610     PISSN: 00658448     EISSN: 23288779     Source Type: Book Series    
DOI: 10.1029/GM111p0093     Document Type: Chapter

References (56)

1. Bao, S. and Zhang, H., Patterns of current helicity for solar cycle 22, Astrophys. J., 496 L43-L46, 1998.
2. Berger, M. A. and Field, G. B., The topological properties of magnetic helicity, J. Fluid Mech., 147, 133-148, 1984.
3. Bohm-Vitense, E., Z. Astrophys., 46, 108, 1958.
4. Caligari, P., Moreno-Insertis, F., and Schiissler, M., Emerg-ing flux tubes in the solar convection zone. I. Asymmetry, tilt and emergence latitude, Astrophys. J., 441, 886-902, 1995.
5. Cattaneo, F., Chiueh, T., and Hughes, D., Buoyancy-driven instabilities and the nonlinear breakup of a sheared magnetic layer, J. Fluid Mech., 219, 1-23, 1990.
6. Charbonneau, P. and Gilman, P. 1998, Private communications.
7. Chou, D.-Y. and Fisher, G. H., Dynamics of anchored flux 100 twisted flux tubes and how they get that way tubes in the convection zone. I. Details of the model, Astron. Astrophys., 341, 533-548, 1989.
8. Choudhuri, A. R. and Gilman, P. A., The influence of the coriolis force on flux tubes rising through the solar convection zone, Astrophys. J., 316, 788-800, 1987.
9. Chui, A. Y. K. and Moffatt, H. K., The energy and helicity of knotted magnetic flux tubes, Proc. Roy. Soc. Lond., 451, 609-629, 1995.
10. DeLuca, E. E., Fisher, G. H., and Patten, B. M., The dynamics of magnetic flux rings, Astrophys. J., 383-393, 1993.
11. D’Silva, S. and Choudhuri, A. R., A theoretical model for tilts of bipolar magnetic regions, Astron. Astrophys., 272, 621-633, 1993.
12. Emonet, T. and Moreno-Insertis, F., The physics of twisted magnetic flux tubes rising in a stratified medium: Two dimensional results, Astrophys. J., 492, 804, 1998.
13. Fan, Y., Fisher, G. H., and McClymont, A. N., Dynamics of emerging active region flux loops, Astrophys. J., 907-928, 1994.
14. Fan, Y., Zweibel, E. G., Linton, M. G., and Fisher, G. H., The rise of kink unstable magnetic flux tubes in the solar convection zone, Astrophys. J., 505, L59-L64, 1998a.
15. Fan, Y.-H. and Fisher, G. H., Radiative heating and the buoyant rise of magnetic flux tubes in the solar interior, Sol Phys., 166, 17-41, 1996.
16. Fan, Y.-H., Zweibel, E. G., and Lantz, S. R., Two-dimensional simulations of buoyantly rising, interacting magnetic flux tubes, Astrophys. J. 493, 480-493, 1998b.
17. Ferriz-Mas, A. and Schiissler, M., On the thin magnetic flux tube approximation, in Physics of Magnetic Flux Ropes, edited by Russel, C. T., Priest, E. R., and Lee, L. C., volume 58 of Geophys. Monographs, pp. 141-148, AGU 1990.
18. Ferriz-Mas, A., Schiissler, M., and Anton, V., Dynamics of magneitc flux concentrations: the second-order thin flux tube approximation, Astron. Astrophys. 210, 425-432, 1989.
19. Fisher, G. H., Fan, Y., and Howard, R. F., Comparisons be-tween theory and observations of active region tilts, Astrophys. J., 438 463-471, 1995.
20. Gilman, P. and Charbonneau, P., Creation of twist at the core-convection-zone interface, in Magnetic Helicity in Space and Laboratory Plasmas, edited by Brown, M. R., Canfield, R. C., and Pevtsov, R. C., Geophys. Monogr. Series, AGU, Washington, D.C. 1999, This volume.
21. Hood, A. W. and Priest, E. R., Geophys. Astrophys. Fluid Dynamics, 17, 297, 1981.
22. Howard, R. F., Axial tilt angles of active regions, Sol. Phys., 169, 293-301, 1996.
23. Klapper, I. and Tabor, M., A new twist in the kinematics and elastic dynamics of thin filaments and ribbons, J. Phys. A, 27(14), 4919-4924, 1994.
24. Krall, J., Chen, J., Santoro, R., Spicer, D. S., Zalesak, S. T., and Cargill, P. J., Simulation of buoyant flux ropes in a magnetized solar atmosphere, Astrophys. J., 500, 992-1002, 1998.
25. Leka, K. D., Canfield, R. C., McClymont, A. N., and Van Driel Gesztelyi, L., Evidence for current-carrying emerging flux, Astrophys. J., 462, 547-560, 1996.
26. Linton, M. G., Dahlburg, R. B., Fisher, G. H., and Long-cope, D. W., Nonlinear evolution of kink unstable mag-netic flux tubes and solar delta-spot active regions, As-trophys. J., 507, 404-416, 1998a.
27. Linton, M. G., Fisher, G. H., Dahlburg, R. B., Fan, Y.-H., and Longcope, D. W., Multi-mode kink instability as a mecahnism for delta-spot fomation, in Proceedings of the 1998 CO SPAR meeting 1998b, in press.
28. Linton, M. G., Longcope, D. W., and Fisher, G. H., The kink instability of isolated, thin twisted flux tubes, Astrophys. J., 469, 954-963, 1996.
29. Longcope, D. W. and Fisher, G. H., The effect of convection zone turbulence on a rising flux tube, Astrophys. J., 458, 380-390, 1996.
30. Longcope, D. W., Fisher, G. H., and Arendt, S., The evolution and fragmentation of rising magnetic flux tubes, Astrophys. J., 414: 999-1011, 1996.
31. Longcope, D. W., Fisher, G. H., and Pevtsov, A. A., Flux tube twist resulting from helical turbulence: The Sigma-effect, Astrophys. J., 507, 417-432, 1998.
32. Longcope, D. W. and Klapper, I., Dynamics of thin twisted flux tubes, Astrophys. J., 4, 443-453, 1997.
33. Matthews, P., Hughes, D., and Proctor, M., Magnetic buoyancy, vorticity, and three-dimensional flux-tube formation, Astrophys. J., 448, 938-941, 1995.
34. Metcalf, T. R., Jiao, L., McClymont, A. N., Canfield, R. C., and Uitenbroek, H., Is the solar chromospheric magentic field force-free?, Astrophys. J., 474-481, 1995.
35. Moffatt, H. K. and Ricca, R. L., Helicity and the Calu-gareanu invariant, Proc. Roy Soc. Lond. A, 439, 411-429, 1992.
36. Moreno-Insertis, F., Rise times of horizontal magnetic flux tubes in the convection zone of the sun, Astron. Astrophys., 122, 241-250, 1983.
37. Parker, E. N., The formation of sunspots from the solar toroidal field, Astrophys. J., 121, 491-507, 1955a.
38. Parker, E. N.,. Hydromagnetic dynamo models, Astrophys. J., 122, 293-314, 1955b.
39. Parker, E. N., The generation of magnetic fields in astro-physical bodies: I. The dynamo equations, Astrophys. J., 162, 665-673, 1970.
40. Parker, E. N., The generation of magnetic fields in astro-physical bodies. X. Magnetic buoyancy and the solar dynamo, Astrophys. J., 198, 205-209, 1975.
41. Parker, E. N., Cosmical Magnetic Fields, Their Origin and Their Activity, Clarendon Press, Oxford 1979.
42. Pevtsov, A. A. and Canfield, R. C., Helicity of the pho-tospheric magnetic field, in Magnetic Helicity in Space and Laboratory Plasmas, edited by Brown, M. R., Can-field, R. C., and Pevtsov, R. C., Geophys. Monogr. Series, AGU, Washington, D.C. 1999, This volume.
43. Pevtsov, A. A., Canfield, R. C., and Metcalf, T. R., Patterns of helicity in solar active regions, Astrophys. J., L117-L119, 1994.
44. Pevtsov, A. A., Canfield, R. C., and Metcalf, T. R., Latitu-dinal variation of helicity of photospheric magnetic fields, Astrophys. J., 440, L109-L112, 1995.
45. Pevtsov, A. A. and Longcope, D. W., NOAA 7926: A kinked LONGSCOPE ET AL. 101 Omega-loop?, Astrophys. J., 508, 908-915, 1998.
46. Priest, E. R., Solar Magnetohydrodynamics, volume 21, D. Reidelj Boston 1982.
47. Rust, D. M., Spawning and shedding helical magnetic fields in the solar atmosphere, Geophys. Res. Lett. 21, 241-244, 1994.
48. Schüssler, M., Magnetic buoyancy revisited: Analytical and numerical results for rising flux tubes, Astron. Astrophys., 71, 79-91, 1979.
49. Shafranov, V. D., J. Nucl. Eng. II, 5, 86, 1957.
50. Spruit, H., A model of the solar convection zone, Sol. Phys., 34, 277-290, 1974.
51. Spruit, H. C., Motion of magnetic flux tubes in the solar convection zone and chromosphere, Astron. Astrophys., 98, 155-160, 1981.
52. Steenbeck, M. and Krause, F., The generation of stellar and planetary magnetic fields by turbulent dynamo action, Z. Naturforsch, 21a, 1285-1296, 1966.
53. Tanaka, K., Studies on a very flare-active 8 group: Peculiar 5 spot evolution and inferred subsurface magnetic rope structure, Sol. Phys., 136, 133-149, 1991.
54. Tsinganos, K. Sunspots and the physics of magnetic flux tubes. X. On the hydrodynamic instability of buoyant fields, Astrophys. J., 239, 746-760, 1980.
55. Turner, J., Buoyancy Effects in Fluids, Cambridge Univer-sity Press 1973.
56. Zhugzhda, Y. Y., Force-free thin flux tubes: Basic equations and stability, Physics of Plasmas, 5(1), 10-21, 1996.