Helicity dissipation in planar periodic geometries

Journal of Geophysical Research: Space Physics

Volumn 106, Issue A8, 2001, Pages 15735-15743

  Watson, P G ^a   Craig, I J D ^a  

^a UNIVERSITY OF WAIKATO   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 39449097582     PISSN: None     EISSN: 21699402     Source Type: Journal    
DOI: 10.1029/2000ja000418     Document Type: Article

References (20)

1. Berger, M. A., Magnetic helicity in a periodic domain, J. Geophys. Res., 102, 2637-2644, 1997.
2. Berger, M. A., and G. B. Field, The topological properties of magnetic helicity, J. Fluid Mech., 147, 133-148, 1984.
3. Biskamp, D., Nonlinear Magnetohydrodynamics, Cambridge Univ. Press, New York, 1993.
4. Biskamp, D., and H. Welter, Coalescence of magnetic islands, Phys. Rev. Lett., 44, 1069-1072, 1980.
5. Craig, I. J. D., and S. M. Henton, Exact solutions for steady-state incompressible magnetic reconnection, Astrophys. J., 450, 280-288, 1995.
6. Craig, I. J. D., and P. G. Watson, Fast dynamic reconnection at X-type neutral points, Astrophys. J., 393, 385-395, 1992.
7. Craig, I. J. D., and P. G. Watson, Dynamic planar magnetic reconnection solutions for incompressible plasmas, Astrophys. J., 516, 924-933, 1999.
8. Craig, I. J. D., and P. G. Watson, Flare-like energy release by flux pile-up reconnection, Sol. Phys., 191, 359-379, 2000.
9. DeLuca, E. E., and I. J. D. Craig, Magnetic reconnection in incompressible fluids, Astrophys. J., 390, 679-686, 1992.
10. Finn, J. M., and T. M. Antonsen, Magnetic helicity: What is it and what is it good for?, Comments Plasma Phys. Controlled Fusion, 9, 111-120, 1985.
11. Matthaeus, W. H., and M. L. Goldstein, Measurement of rugged invariants of magnetohydrodynamic turbulence in the solar wind, J. Geophys. Res., 87, 6011-6028, 1982.
12. McClymont, A. N., and I. J. D. Craig, Dynamical finite amplitude magnetic reconnection at an X-type neutral point, Astrophys. J., 466, 487-499, 1996.
13. Moffatt, H. K., The degree of knottedness of tangled vortex lines, J. Fluid Mech., 35, 117-129, 1969.
14. Priest, E. R., and T. G. Forbes, Magnetic Reconnection MHD Theory and Applications, Cambridge Univ. Press, New York, 2000.
15. Stribling, T., and W. H. Matthaeus, Relaxation processes in a low-order three-dimensional magnetohydrodynamics model, Phys. Fluids B, 3, 1848-1864, 1991.
16. Stribling, T., W. H. Matthaeus, and S. Ghosh, Nonlinear decay of magnetic helicity in MHD turbulence with a mean magnetic field, J. Geophys. Res., 99, 2567-2576, 1994.
17. Stribling, T., W. H. Matthaeus, and S. Oughton, Magnetic helicity in magnetohydrodynamic turbulence with a mean magnetic field, Phys. Plasmas, 2, 1437-1452, 1995.
18. Taylor, J. B., Relaxation of toroidal plasma and generation of reverse magnetic fields, Phys. Rev. Lett., 33, 1139-1150, 1974.
19. Watson, P. G., and I. J. D. Craig, Magnetic annihilation and reconnection in two dimensions, Astrophys. J., 505, 363-368, 1998.
20. Watson, P. G., E. R. Priest, and I. J. D. Craig, The roles of advection and diffusion in planar magnetic merging solutions, Geophys. Astrophys. Fluid Dyn., 88, 165-185, 1998.