Abstract
Current drive by coaxial helicity injection in the Sustained Spheromak Physics Experiment (SSPX) is modeled by a hyper-resistive term in Ohm's law for discharges in which magnetic fluctuations are small (1–3%). The current on the open magnetic field lines from the applied vacuum bias flux is assumed completely relaxed; interior to the spheromak, the helicity flux balances the ohmic losses. The poloidal area of the spheromak is found to depend on the strength of the hyper-resistive diffusion coefficient, allowing potentially large amplifications of the vacuum flux and discharge current. One discharge is examined in detail; the best fit to the experimental data finds that a limited fraction of the helicity injected into the flux conserver is effectively applied to current drive interior to the spheromak.
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References
T. R. Jarboe, Plasma Phys. Controlled Fusion 36, 945 (1994).
P. M. Bellan, Spheromaks (Imperial College Press, London, 2000).
T. R. Jarboe, I. Hennins, A. R. Sherwood, et al., Phys. Rev. Lett. 51, 39 (1983).
N. Nagata, T. Kanki, T. Matsuda, et al., Phys. Rev. Lett. 71, 4342 (1993).
M. G. Rusbridge, S. J. Gee, P. K. Browning, et al., Plasma Phys. Controlled Fusion 39, 683 (1997).
H. S. McLean, S. Woodruff, E. B. Hooper, et al., Phys. Rev. Lett. 88, 125004 (2002).
J. B. Taylor and M. F. Turner, Nucl. Fusion 29, 219 (1989).
A. H. Boozer, J. Plasma Phys. 35, 133 (1986).
E. B. Hooper, L. D. Pearlstein, and R. H. Bulmer, Nucl. Fusion 39, 863 (1999).
A. R. Jacobson and R. W. Moses, Phys. Rev. A 29, 3335 (1984).
H. R. Strauss, Phys. Fluids 29, 3668 (1986).
A. Bhattacharjee and E. Hameiri, Phys. Rev. Lett. 57, 206 (1986).
G. G. Craddock, Phys. Fluids B 3, 316 (1991).
J. Blum and J. LeFoll, Comput. Phys. Rep. 1, 465 (1984); a set of lecture notes due to S. C. Jardin, private communication.
D. J. Ward and S. C. Jardin, Nucl. Fusion 29, 905 (1989).
D. A. Kitson and P. K. Browning, Plasma Phys. Controlled Fusion 32, 1265 (1990).
A. H. Boozer, Plasma Confinement, in Encyclopedia of Physical Science and Technology (Academic, New York, 1992), Vol. 13, p. 1.
B. W. Stallard, private communication (2001).
A. al-Karkhy, P. K. Browning, G. Cunningham, et al., Phys. Rev. Lett. 70, 1814 (1993).
R. C. Duck, P. K. Browning, G. Cunningham, et al., Plasma. Phys. Controlled Fusion 39, 715 (1997).
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From Fizika Plazmy, Vol. 28, No. 9, 2002, pp. 831–839.
Original English Text Copyright © 2002 by Hooper, Pearlstein.
This article was submitted by the authors in English.
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Hooper, E.B., Pearlstein, L.D. Hyper-resistive modeling in the spheromak. Plasma Phys. Rep. 28, 765–772 (2002). https://doi.org/10.1134/1.1508027
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DOI: https://doi.org/10.1134/1.1508027