Helical temperature perturbations associated with tearing modes in tokamak plasmas
Phys. Plasmas 2, 825 (1995); doi:10.1063/1.871434
Issue Date: March 1995
You are logged in to this journal.
An investigation is made into the electron temperature perturbations associated with tearing modes in tokamak plasmas. It is found that there is a critical magnetic island width below which the conventional picture where the temperature is flattened inside the separatrix is invalid. This effect comes about because of the stagnation of magnetic field lines in the vicinity of the rational surface and the finite parallel thermal conductivity of the plasma. Islands whose widths lie below the critical value are not destabilized by the perturbed bootstrap current, unlike conventional magnetic islands. This effect may provide an explanation for some puzzling experimental results regarding error field-induced magnetic reconnection. The critical island width is found to be fairly substantial in conventional tokamak plasmas, provided that the long mean-free path nature of parallel heat transport and the anomalous nature of perpendicular heat transport are taken into account in the calculation. ©1995 American Institute of Physics.
| History: | Received 12 September 1994; accepted 28 November 1994 |
| Permalink: |
http://link.aip.org/link/?PHPAEN/2/825/1 |
KEYWORDS and PACS
TOKAMAK DEVICES,
TEARING INSTABILITY,
ELECTRON TEMPERATURE,
MAGNETIC ISLANDS,
HELICAL CONFIGURATION,
HEAT TRANSFER,
MAGNETIC RECONNECTION,
PERTURBATION THEORY,
TRANSPORT THEORY
- 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, Rayleigh
Taylor, etc.)
- 52.55.Fa
Physics of plasmas and electric discharges Magnetic confinement and equilibrium Tokamaks - 52.40.Hf
Physics of plasmas and electric discharges Plasma interactions Plasma
wall interactions; boundary layer effects; plasma sheaths
- 52.30.Jb
Physics of plasmas and electric discharges Plasma flow; magnetohydrodynamics Resistive MHD effects - YEAR: 1995
PUBLICATION DATA
1070-664X (print)
1089-7674 (online)
REFERENCES (46)
-
J. A. Wesson, Tokamaks, edited by J. A. Wesson (Clarenden, Oxford, 1987), Chap. 7.
-
S. V. Mirnov and I. B. Semenov, At. Energ. 30, 20 (1971) [Inspec]
-
J. A. Wesson, R. D. Gill, M. Hugon, F. C. Schüler, J. A. Snipes, D. J. Ward, D. V. Bartlett, D. J. Campbell, P. A. Duperrex, A. W. Edwards, R. S. Granetz, N. A. O. Gottardi, T. C. Hender, E. Lazzaro, P. J. Lomas, N. Lopes Cardozo, K. F. Mast, M. F. F. Nave, N. A. Salmon, P. Smeulders, P. R. Thomas, B. J. D. Tubbing, M. F. Turner, and A. Weller, Nucl. Fusion 29, 641 (1989). [Inspec] [ISI]
-
H. P. Furth, J. Killeen, and M. N. Rosenbluth, Phys. Fluids 6, 459 (1963).
-
R. R. Dominguez and R. E. Waltz, Nucl. Fusion 27, 65 (1987); [Inspec] [ISI]
-
J. A. Snipes, D. J. Campbell, T. C. Hender, M. von Hellermann, and H. Weisen, Nucl. Fusion 30, 205 (1990). [Inspec] [ISI]
-
R. B. White, in Handbook of Plasma Physics (North-Holland, Amsterdam, 1983), Vol. 1, Sec. 3.5.
-
J. W. Connor, in Ref. 1, Chap. 4.
-
J. Y. Chen, S. C. McCool, A. J. Wootton, A. Y. Aydemir, M. E. Austin, R. D. Bengston, R. V. Bravenec, D. L. Brower, R. M. Denton, M. S. Foster, H. Lin, N. C. Luhmann, Jr., S. M. Mahajan, A. Ouroua, W. A. Peebles, P. E. Phillips, B. Richards, C. P. Ritz, P. M. Schoch, W. L. Rowan, B. A. Smith, X. Z. Yang, C. X. Xu, Y. Z. Zhang, and Z. M. Zhang, in Research Using Small Tokamaks, Proceedings of the Technical Committee Meeting, Arlington, 1990 (International Atomic Energy Agency, Vienna, 1990), p. 41.
-
O. Klüber, H. Zohm, H. Bruhns, J. Gernhardt, A. Kallenbach, and H. P. Zehrfeld, Nucl. Fusion 31, 907 (1991). [Inspec] [ISI]
-
A. E. Costley, in Ref. 1, Chap. 10.
-
A. W. Edwards, D. J. Campbell, W. W. Engelhardt, H. U. Fahrbach, R. D. Gill, R. S. Granetz, S. Tsuji, B. J. D. Tubbing, A. Weller, J. A. Wesson, and D. Zasche, Phys. Rev. Lett. 57, 211 (1986).
-
Y. Nagayama, K. M. McGuire, M. Bitter, A. Cavallo, E. D. Fredrickson, K. W. Hill, H. Hsuan, A. Janos, W. Park, G. Taylor, and M. Yamada, Phys. Rev. Lett. 67, 3527 (1991). [ISI] [MEDLINE]
-
J. A. Wesson, in Ref. 1, Chap. 3.
-
J. A. Wesson, in Ref. 1, Chap. 6.
-
P. H. Rutherford, Phys. Fluids 16, 1903 (1973).
-
S. I. Braginskii, in Reviews of Plasma Physics (Consultants Bureau, New York, 1965), Vol. 1, p. 205.
-
C. C. Hegna and J. D. Callen, Phys. Fluids B 4, 1855 (1992). [ISI]
-
M. Kotschenreuther, R. D. Hazeltine, and P. J. Morrison, Phys. Fluids 28, 294 (1985).
-
L. M. Milne-Thomson, Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965), Chap. 17.
-
M. C. Zarnstorff, S. Batha, A. Janos, F. L. Levinton, and the TFTR Group, in Local Transport Studies in Fusion Plasmas, Proceedings of Workshop, Varenna 1993 (Societè Italiana di Fisica, Bologna, 1993), p. 257.
-
J. D. Callen, Z. Cheng, R. L. Coffey, T. A. Gianakon, C. C. Hegna, A. J. Smolyakov, W. X. Qu, and J. P. Wong, in Ref. 21, p. 243.
-
I. A. Stegun, in Ref. 20, Chap. 8.
-
A. Erdélyi, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Chap. III.
-
P. J. Davis, in Ref. 20, Chap. 6.
-
D. Edery, M. Frey, J. P. Somon, M. Tagger, J. L. Soule, R. Pellat, and M. N. Bussac, Phys. Fluids 26, 1165 (1983).
-
R. J. Bickerton, J. W. Connor, and J. B. Taylor, Nature 229, 110 (1971). [MEDLINE]
-
R. J. Hawryluk, V. Arunasalam, M. G. Bell, M. Bitter, W. R. Blanchard, N. L. Bretz, R. Bundy, C. E. Bush, J. D. Callen, S. A. Cohen, S. K. Combs, S. L. Davis, D. L. Dimock, H. F. Dylla, P. C. Efthimion, L. C. Emerson, A. C. England, H. P. Eubank, R. J. Fonck, E. Fredrickson, H. P. Furth, G. Gammel, R. J. Goldston, B. Grek, L. R. Grisham, G. Hammett, H. Hsuan, R. A. Hulse, K. P. Jaehnig, D. Jassby, F. C. Jobes, D. W. Johnson, L. C. Johnson, R. Kaita, R. Kamperschroder, S. M. Kaye, S. J. Kilpatrick, R. J. Knize, H. Kugel, P. H. LaMarche, B. LeBlanc, R. Little, C. H. Ma, D. M. Manos, D. K. Mansfield, R. T. McCann, M. P. McCarthy, D. C. McCune, K. McGuire, D. H. McNeill, D. M. Meade, S. S. Medley, D. R. Mikkelsen, S. L. Milora, W. Morris, D. Mueller, V. Mukhovatov, E. B. Niedschmidt, J. O'Rourke, D. K. Owens, H. Park, N. Pomphrey, B. Prichard, A. T. Ramsey, M. H. Redi, A. L. Roquemore, P. H. Rutherford, N. R. Sauthoff, G. Schilling, J. Schivell, G. L. Schmidt, S. D. Scott, S. Sesnic, J. C. Sinnis, F. J. Stauffer, B. C. Stratton, G. D. Tait, G. Taylor, J. R. Timberlake, H. H. Towner, M. Ulrickson, V. Vershkov, S. von Goeler, F. Wagner, R. Wieland, J. B. Wilgen, M. Williams, K. L. Wong, S. Yoshikawa, R. Yoshino, K. M. Young, M. C. Zarnstorff, V. S. Zaveryaev, and S. J. Zweben, in Plasma Physics and Controlled Nuclear Fusion Research 1986, Proceedings of the 11th International Conference, Kyoto 1986 (International Atomic Energy Agency, Vienna, 1987), Vol. 1, p. 51.
-
C. D. Challis, J. G. Cordey, H. Hamnen, P. M. Stubberfield, J. P. Christiansen, E. Lazzaro, D. G. Muir, D. Stork, and E. Thompson, Nucl. Fusion 29, 563 (1989). [Inspec] [ISI]
-
R. Carrera, R. D. Hazeltine, and M. Kotschenreuther, Phys. Fluids 29, 899 (1986).
-
P. H. Rutherford, in Basic Physical Processes of Toroidal Fusion Plasmas, Proceedings of Course and Workshop, Varenna 1985 (Commission of the European Communities, Brussels, 1986), Vol. 2, p. 531.
-
A. Bondeson and J. R. Sorbel, Phys. Fluids 27, 2028 (1984).
-
R. Fitzpatrick, Phys. Plasmas 1, 3308 (1994).
-
R. Fitzpatrick and T. C. Hender, Phys. Fluids B 3, 644 (1991).
-
R. Fitzpatrick, Nucl. Fusion 33, 1049 (1993).
-
M. N. Rosenbluth, R. D. Hazeltine, and F. L. Hinton, Phys. Fluids 15, 116 (1972).
-
G. M. Fishpool and P. S. Haynes, Nucl. Fusion 34, 109 (1994). [Inspec] [ISI]
-
R. Fitzpatrick, in Theory of Fusion Plasmas, Proceedings of the Joint Varenna-Lausanne International Workshop, Varenna 1992 (Società Italiana di Fisica, Bologna, 1992), p. 147.
-
T. C. Hender, R. Fitzpatrick, A. W. Morris, P. G. Carolan, R. D. Durst, T. Edlington, J. Ferreira, S. J. Fielding, P. S. Haynes, J. Hugill, I. J. Jenkins, R. J. La Haye, B. J. Parham, D. C. Robinson, T. N. Todd, M. Valovič, and G. Vayakis, Nucl. Fusion 32, 2091 (1992). [Inspec] [ISI]
-
J. T. Scoville, R. J. La Haye, A. G. Kellman, T. H. Osborne, R. D. Stambaugh, E. J. Strait, and T. S. Taylor, Nucl. Fusion 31, 875 (1991). [Inspec] [ISI]
-
A. J. Wootton, W. Dorland, and M. Kotschenreuther (private communication, 1994).
-
W. W. Pfeiffer and R. E. Waltz, Nucl. Fusion 19, 51 (1979). [Inspec] [ISI]
-
B. P. van Milligen, A. C. A. P. van Lammerden, N. J. Lopes Cardozo, F. C. Schüler, and M. Verreck, Nucl. Fusion 33, 1121 (1993).
-
R. Jaenicke and the WendelsteinVII-A Team, Nucl. Fusion 28, 1737 (1988). [Inspec] [ISI]
-
R. Fitzpatrick, R. J. Hastie, T. J. Martin, and C. M. Roach, Nucl. Fusion 33, 1533 (1993). [Inspec] [ISI]
-
E. Westerhof, Nucl. Fusion 27, 1929 (1987). [Inspec] [ISI]







