Special Issue: Magnetic Reconnection in Space and Laboratory Plasmas
- Open Access
Improved theory of forced magnetic reconnection due to boundary perturbation
Earth, Planets and Space volume 53, pages 447–451 (2001)
Boundary layer theory of forced magnetic reconnection due to an externally applied boundary perturbation is improved by introducing correct asymptotic matching which takes into account the effect of inertia in the inner layer precisely. The improved theory yields an integral equation for the time evolution of the reconnected flux. The initial evolution of the reconnection process is characterized by some significant features represented by the reconnected flux and an inner-layer reconnected flux. The typical time scales of the reconnected flux and of the inner-layer reconnected flux include the time scale of the boundary perturbation and exclude the Sweet-Parker time scale. The role of stability against the tearing modes in the reconnection process is also clarified. A current sheet induced on a resonant surface is in such a direction as to oppose the progress of the reconnection, because the equilibrium is stable against tearing modes in the absence of the boundary perturbation.
Wang, X., A. Bhattacharjee, Z. W. Ma, C. Ren, C. C. Hegna, and J. D. Callen,ai]Ara, G., B. Basu, B. Coppi, G. Laval, M. N. Rosenbluth, and B. V. Waddell, Magnetic reconnection and m= 1 oscillations in current carrying plasmas, Ann. Phys., 112, 443–476, 1978.
Fitzpatrick, R. and T. C. Hender, The interaction of resonant magnetic perturbations with rotating plasmas, Phys. Fluids B, 3, 644–673, 1991.
Furth, H. P., J. Killeen, and M. N. Rosenbluth, Finite-resistivity instabilities of a sheet pinch, Phys. Fluids, 6, 459–484, 1963.
Hahm, T. S. and R. M. Kulsrud, Forced magnetic reconnection, Phys. Fluids, 28, 2412–2418, 1985.
Hegna, C. C., J. D. Callen, and R. J. LaHaye, Dynamics of seed magnetic island formation due to geometrically coupled perturbations, Phys. Plasmas, 6, 130–136, 1999.
Ishizawa, A. and S. Tokuda, Improved boundary layer analysis of forced magnetic reconnection due to a boundary perturbation, Phys. Plasmas, 7, 875–882, 2000.
Ma, Z. W., X. Wang, and A. Bhattacharjee, Forced magnetic reconnection and the persistence of current sheets in static and rotating plasmas due to a sinusoidal boundary perturbation, Phys. Plasmas, 3, 2427–2433, 1996.
Vekstein, G. E. and R. Jain, Energy release and plasma heating by forced magnetic reconnection, Phys. Plasmas, 5, 1506–1513, 1998.
Vekstein, G. E. and R. Jain, On plasma heating by reconnective magnetic relaxation, Phys. Plasmas, 6, 2897, 1999.
Wang, X. and A. Bhattacharjee, Forced reconnection and current sheet formation in Taylor’s model, Phys. Fluids B, 4, 1795–1799, 1992.
Wang, X. and A. Bhattacharjee, Forced reconnection and model locking in rotating cylindrical plasmas, Phys. Plasmas, 4, 748–754, 1997.
Wang, X., A. Bhattacharjee, Z. W. Ma, C. Ren, C. C. Hegna, and J. D. Callen, Structure and dynamics of current sheets at Alfvén resonances in a differentially rotating plasma, Phys. Plasmas, 5, 2291–2296, 1998.
About this article
Cite this article
Ishizawa, A., Tokuda, S. Improved theory of forced magnetic reconnection due to boundary perturbation. Earth Planet Sp 53, 447–451 (2001). https://doi.org/10.1186/BF03353255
- Current Sheet
- Magnetic Reconnection
- Boundary Layer Theory
- Boundary Perturbation
- Reconnection Process