Magnetic equilibria resulting from a helically symmetric kink instability

Geophysical and Astrophysical Fluid Dynamics

Volumn 94, Issue 3-4, 2001, Pages 221-248

  Ali, Farhad ^a   Sneyd, Alfred ^a  

^a UNIVERSITY OF WAIKATO   (New Zealand)

Author keywords

Current sheet; Kink instability; MHD; Solar corona

Indexed keywords

EID: 0040028770     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/03091920108203408     Document Type: Article

References (20)

1. Arber, T. D., Longbottom, A. W. and Van der Linden, A. M., "Unstable coronal loops: Numerical simulations with predicted observational signatures," Astrophys. J. 517, 990 (1999).
2. Bernstein, I. B., Frieman, E. A., Kruskal, M. D. and Kulsrud, R. M., "An energy principle for hydromagnetic stability problems," Proc. R. Soc. Lond. 244, 17 (1958).
3. Craig, I. J. D. and Sneyd, A. D., "Nonlinear development of the kink instability in coronal flux tubes," Astrophys. J. 357, 653 (1990a).
4. Craig, I. J. D. and Sneyd, A. D., "An alternating direction implicit scheme for parabolic systems of differential equations," Computers Math. Applic. 20, 53 (1990b).
5. Craig, I. J. D., Robb, T. D., Sneyd, A. D. and McClymont, A. N., "The kink instability in infinite cylindrical flux tubes: eigenvalues for power-law twist profiles," Astrophys. Space Sci. 166, 289 (1990).
6. Culhane, J. L. and Jordan, C., The physics of solar flares, Royal Society, London (1991).
7. Dritschel, D. G., "Generalised helical Beltrami flows in hydrodynamics and magnetohydrodynamics," J. Fluid Mech. 222, 525 (1991).
8. Hood, A. W. and Priest, E. R., "Critical conditions for magnetic instabilities in force-free coronal loops," Geophys. Astrophys. Fluid Dynam. 17, 297 (1981).
9. Ishi, T. T., Hurokawa, H. and Takeuchi, T. T., "Emergence of a twisted magnetic flux bundle as a source of strong flare activity," Astrophys. J. 499, 898 (1998).
10. Lionello, R., Mikić, Z. and Schnack, D. D., "Magnetohydrodynamics of solar coronal plasmas in cylindrical geometry," J. Comput. Phys. 140, 172 (1998a).
11. Lionello, R., Velli, M., Einaudi, G. and Mikić, Z., "Nonlinear magnetohydrodynamics evolution of line-tied coronal loops," Astryphys. J. 494, 840 (1998b).
12. Moffatt, H. K., Magnetic field generation in electrically conducting fluids, Cambridge University Press, Cambridge (1978).
13. Newcomb, W. A., "Hydromagnetic stability of a diffuse linear pinch," Ann. Phys. 10, 232 (1960).
14. Ofman, L., Klimchuk, J. and Davila, J., "A self-consistent model for the resonant heating of coronal loops: the effects of coupling with the chromosphere," Astrophys. J. 493, 747 (1998).
15. Park, W., Monticello, R. B. and White, R. B., "Non-linear saturation of the internal kink mode." Nuclear Fusion, 20, 1181 (1980).
16. Parker, E. N., Cosmical magnetic fields, their origin and activity, Clarendon Press, Oxford (1979).
17. Smith, S., Current sheet formation and magnetic reconnection, M. Sc. Thesis, University of Waikato (1996).
18. Sneyd, A. D., "Current sheet formation in uniformly twisted magnetic flux tubes," Geophys. Astrophys. Fluid Dynam. 83, 135 (1996).
19. Sneyd, A. D. and Craig, I. J. D., "Linear MHD stability of infinitely long coronal flux tubes," Astrophys. Space Sci. 151, 265 (1989).
20. Sturrock, P., Solar Flares. A monograph from Skylab Solar Workshop II. Colorado, Oxford University Press, Oxford (1980).