Formation and locking of the "slinky mode" in reversed-field pinches
Phys. Plasmas 6, 1168 (1999); doi:10.1063/1.873361
Issue Date: April 1999
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The formation and breakup of the "slinky mode" in a Reversed-Field Pinch (RFP) is investigated analytically. The slinky mode is a toroidally localized, coherent interference pattern in the magnetic field, which corotates with the plasma at the reversal surface. This mode forms, via a series of bifurcations, as a result of the nonlinear coupling of multiple m = 1 core tearing modes. The slinky mode breaks up via a second series of bifurcations. However, the typical mode amplitude below which slinky breakup is triggered is much smaller than that above which slinky formation occurs. Analytic expressions for the slinky formation and breakup thresholds are obtained in all regimes of physical interest. The locking of the slinky mode to a static error field is also investigated analytically. Either the error field arrests the rotation of the plasma at the reversal surface before the formation of the slinky mode, so that the mode subsequently forms as a nonrotating mode, or the slinky mode forms as a rotating mode and subsequently locks to the error field. Analytic expressions for the locking and unlocking thresholds are obtained in all regimes of physical interest. ©1999 American Institute of Physics.
| History: | Received 3 September 1998; accepted 4 January 1999 |
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http://link.aip.org/link/?PHPAEN/6/1168/1 |
KEYWORDS and PACS
- 52.35.Py
Physics of plasmas and electric discharges Waves, oscillations, and instabilities in plasma Plasma macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, RayleighTaylor, etc.) - 52.35.Qz
Physics of plasmas and electric discharges Waves, oscillations, and instabilities in plasma Plasma microinstabilities (ion-acoustic, two-stream, loss-cone, beam-plasma, drift, ion- or electron-cyclotron, etc.) - 52.55.Ez
Physics of plasmas and electric discharges Magnetic confinement and equilibrium Z-Pinch, theta pinch, plasma focus and other pinch devices - YEAR: 1999
RELATED DATABASES
PUBLICATION DATA
1070-664X (print)
1089-7674 (online)
REFERENCES (35)
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- J. A. Wesson and D. J. Campbell, Tokamaks, 2nd ed. (Clarenden, Oxford, England, 1998).
- H. A. B. Bodin,
Nucl. Fusion 30, 1717 (1990) . - J. B. Taylor,
Phys. Rev. Lett. 33, 1139 (1974) . - R. N. Dexter, D. W. Kerst, T. W. Lovell, S. C. Prager, and J. C. Sprott,
Fusion Technol. 19, 131 (1991) . - A. F. Almagri, S. Assadi, S. C. Prager, J. S. Sarff, and D. W. Kerst, Phys. Fluids B 4, 4080 (1992).
- R. J. La Haye, T. N. Carlstrom, R. R. Goforth et al.Phys. Fluids 27, 2576 (1984).
- T. Tamano, W. D. Bard, C. Chu et al. Phys. Rev. Lett. 59, 1444 (1987).
- K. Hattori, Y. Hirano, T. Shimada et al., Phys. Fluids B 3, 3111 (1991).
- V. Antoni, L. Apolloni, M. Bagatin et al., in Fusion Energy 1996, Proceedings of the 16th International Conference, Montreal 1996 (International Atomic Energy Agency, Vienna, 1997), Vol. II, p. 711.
- F. Gnesotto et al.,
Fusion Eng. Des. 25, 335 (1995) . - R. Fitzpatrick,
Nucl. Fusion 33, 1049 (1993) . - R. Fitzpatrick, R. J. Hastie, T. J. Martin, and C. M. Roach,
Nucl. Fusion 33, 1533 (1993) . - R. Fitzpatrick, Phys. Plasmas 5, 3325 (1998).
- D. D. Schnack and S. Ortolani,
Nucl. Fusion 30, 277 (1990) . - K. Kusano, T. Tamamo, and T. Sato,
Nucl. Fusion 31, 1923 (1991) . - C. C. Hegna, Phys. Plasmas 3, 4646 (1996).
- J. S. Sarff, S. Assadi, and A. F. Almagri, Phys. Fluids B 5, 2540 (1993).
- S. Ortolani and D. D. Schnack, Magnetohydrodynamics of Plasma Relaxation (World Scientific, Singapore, 1993).
- P. H. Rutherford, Phys. Fluids 16, 1903 (1973).
- B. Coppi, J. M. Greene, and J. L. Johnson,
Nucl. Fusion 6, 101 (1966) . - The standard large aspect ratio ordering is R0/a
1, where R0 and a are the major and minor radii of the plasma, respectively. - The conventional definition of this parameter is
= 2µ0
p
/
B2
, where 
![[centered ellipsis]](http://scitation.aip.org/stockgif2/cellip.gif)
denotes a volume average, p is the plasma pressure, and B is the magnetic field strength. - T. H. Stix, Phys. Fluids 16, 1260 (1973).
- C. G. Gimblett and R. S. Peckover,
Proc. R. Soc. London, Ser. A 368, 75 (1979) . - R. Fitzpatrick and T. C. Hender, Phys. Plasmas 1, 3337 (1994).
- R. Fitzpatrick, Phys. Plasmas 1, 3308 (1994).
- G. Fiksel, S. C. Prager, W. Shen, and M. R. Stoneking, Phys. Rev. Lett. 72, 1028 (1994).
- A. B. Rechester and M. N. Rosenbluth, Phys. Rev. Lett. 40, 38 (1978).
- S. Ortolani (private communication, 1998).
- V. Antoni, D. Merlin, S. Ortolani, and R. Paccagnella,
Nucl. Fusion 26, 1711 (1986) . - J. B. Taylor, Rev. Mod. Phys. 58, 741 (1986).
- Z. X. Jiang, A. Bondeson, and R. Paccagnella, Phys. Plasmas 2, 442 (1995).
- W. A. Newcomb,
Ann. Phys. (N.Y.) 10, 232 (1960) . - H. P. Furth, J. Killeen, and M. N. Rosenbluth, Phys. Fluids 6, 459 (1963).
- J. P. Freidberg, Rev. Mod. Phys. 54, 801 (1982).







