Special Issue: Magnetic Reconnection in Space and Laboratory Plasmas
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Spheromaks, solar prominences, and Alfvén instability of current sheets
Earth, Planets and Space volume 53, pages 495–499 (2001)
Abstract
Three related efforts underway at Caltech are discussed: experimental studies of spheromak formation, experimental simulation of solar prominences, and Alfvén wave instability of current sheets. Spheromak formation has been studied by using a coaxial magnetized plasma gun to inject helicity-bearing plasma into a very large vacuum chamber. The spheromak is formed without a flux conserver and internal λ profiles have been measured. Spheromak-based technology has been used to make laboratory plasmas having the topology and dynamics of solar prominences. The physics of these structures is closely related to spheromaks (low β, force-free, relaxed state equilibrium) but the boundary conditions and symmetry are different. Like spheromaks, the equilibrium involves a balance between hoop forces, pinch forces, and magnetic tension. It is shown theoretically that if a current sheet becomes sufficiently thin (of the order of the ion skin depth or smaller), it becomes kinetically unstable with respect to the emission of Alfvén waves and it is proposed that this wave emission is an important aspect of the dynamics of collisionless reconnection.
References
Arzimovich, L. A., Elementary Plasma Physics, 188 pp., Blaisdell Publishing, New York, 1965.
Axford, W. I. and J. F. McKenzie, The origin of high speed solar wind streams, in Solar Wind Seven, COSPAR Colloquia Series, Vol. 3, edited by E. Marsch and R. Schwenn, 711 pp., Pergamon Press, 1992.
Bateman, G., MHD Instabilities, 263 pp., MIT Press, Boston, 1978.
Bellan, P. M., New model for ULF Pc5 pulsations: Alfven cones, Geophys. Res. Lett., 23, 1717–1720, 1996.
Bellan, P. M., Collisionless reconnection using Alfven wave radiation resistance, Phys. Plasmas, 5, 3081–3088, 1998.
Bellan, P. M., Alfven wave instability of current sheets in force-free collisionless plasmas, Phys. Rev. Lett., 83, 4768–4771, 1999.
Bellan, P. M., Spheromaks, 341 pp., Imperial College Press, London, 2000.
Bellan, P. M., Alfven wave instability of current sheets in force-free plasmas: Comparison to ion acoustic instability, Advances in Space Research (in press).
Bellan, P. M. and J. F. Hansen, Laboratory simulations of solar prominence eruptions, Phys. Plasmas, 5(2), 1991–2000, 1998.
Bhattacharjee, A., Z. W. Ma, and X. G. Wang, Impulsive reconnection dynamics in collisionless laboratory and space plasmas, J. Geophys. Res., 104, 14543–14556, 1999.
Biskamp, D., Nonlinear Magnetohyrodynamics, 378 pp., Cambridge University Press, 1993.
Chen, J., Effects of toroidal forces in current loops embedded in a background plasma, Astrophys. J., 338, 453–470, 1989.
Drake, J. F., R. G. Kleva, and M. E. Mandt, Structure of thin current layers—implications for magnetic reconnection, Phys. Rev. Lett., 73, 1251–1254, 1994.
Fernandez, J. C., B. L. Wright, G. J. Marklin, D. A. Platts, and T. R. Jarboe, The m = 1 helicity source spheromak experiment, Phys. Fluids B, 1, 1254–1270, 1989.
Freidberg, J. P., Ideal Magnetohydrodynamics, 489 pp., Plenum Press, New York, 1987.
Furth, H. P., Compact Tori, Nucl. Instrum. Methods, 207, 93–110, 1983.
Furth, H. P., J. Killeen, and M. N. Rosenbluth, Finite-resistivity instabilities of a sheet pinch, Phys. Fluids, 6, 459–484, 1963.
Gekelman, W. and R. L. Stenzel, Magnetic-field line reconnection experiments. 6. Magnetic turbulence, J. Geophys. Res., 89, 2715–2733, 1984.
Goldston, R. J. and P. H. Rutherford, Introduction to Plasma Physics, 491 pp., Institute of Physics Publishing, Bristol, 1995.
Hansen, J. F. and P. M. Bellan, Experimental demonstration of how strapping fields can inhibit solar prominence eruptions, Astrophys. J. Lett. (submitted).
Jarboe, T. R., Review of spheromak research, Plasma Phys. Controlled Fusion, 36, 945–990, 1994.
Jarboe, T. R., C. W. Barnes, D. A. Platts, and B. L. Wright, A kinked Z-pinch as the helicity source for spheromak generation and sustainment, Comments Plasma Phys. Controlled Fusion, 9, 161–168, 1985.
Jensen, T. H. and M. S. Chu, Current drive and helicity injection, Phys. Fluids, 27, 2881–2885, 1984.
Krall, J., J. Chen, and R. Santoro, Drive mechanisms of erupting solar magnetic flux ropes, Astrophys. J., 539(1), 964–982, 2000.
Longbottom, A. W., G. J. Rickard, I. J. D. Craig, and A. D. Sneyd, Magnetic flux braiding: Force-free equilibria and current sheets, Astrophys. J., 500, 471–482, 1998.
Lundquist, S., Magneto-hydrostatic fields, Arkiv for Fysik, B2, 361–365, 1950.
Mayo, R. M., J. C. Fernandez, I. Henins, L. S. Kirschenbaum, C. P. Munson, and F. J. Wysocki, Time of flight measurement of ion temperatures in spheromaks, Nucl. Fusion, 31, 2087–2095, 1991.
Miyamoto, K., Plasma Physics for Nuclear Fusion, 618 pp., revised English edition, MIT Press, Boston, 1989.
Ono, Y., M. Yamada, T. Akao, T. Tajima, and R. Matsumoto, Ion acceleration and direct ion heating in three-component magnetic reconnection, Phys. Rev. Lett., 76, 3328–3331, 1996.
Parker, E. N., Magnetic neutral sheets in evolving fields. 1. General theory, Astrophys. J., 264, 635–641, 1983.
Stasiewicz, K., P. Bellan, C. Chaston, C. Kletzing, R. Lysak, J. Maggs, O. Pokhotelov, C. Seyler, P. Shukla, L. Stenflo, A. Streltsov, and J.-E. Wahlund, Small scale Alfvenic structure in the aurora, Space Sci. Reviews, 92, 423–533, 2000.
Tandberg-Hanssen, E., The Nature of Solar Prominences, 308 pp., Kluwer, Dordrecht, 1995.
Taylor, J. B., Relaxation of toroidal plasma and generation of reverse magnetic fields, Phys. Rev. Lett., 33, 1139–1141, 1974.
Turner, W. C., G. C. Goldenbaum, E. H. A. Granneman, J. H. Hammer, C. W. Hartman, D. S. Prono, and J. Taska, Investigations of the magnetic structure and decay of a plasma-gun-generated compact torus, Phys. Fluids, 26, 1965–1986, 1983.
Yamada, M., H. T. Ji, S. Hsu, T. Carter, R. Kulsrud, and F. Trintchouk, Experimental investigation of the neutral sheet profile during magnetic reconnection, Phys. Plasmas, 7(2), 1781–1787, 2000.
Yee, J. and P. M. Bellan, Taylor relaxation and lambda decay of unbounded, freely expanding spheromaks, Phys. Plasmas, 7, 3625–3640, 2000.
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Bellan, P.M., Yee, J. & Hansen, J.F. Spheromaks, solar prominences, and Alfvén instability of current sheets. Earth Planet Sp 53, 495–499 (2001). https://doi.org/10.1186/BF03353261
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DOI: https://doi.org/10.1186/BF03353261