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It is well-known from scaling arguments that action-based field theories do not possess localized solutions in spaces of more than one dimension. The same scaling argument, modified to account for ext...

Dynamically stable, self-similarly evolving, and self-organized states of high beta tokamak and reversed pinch plasmas and advanced active control

Phys. Plasmas 16, 112504 (2009); doi:10.1063/1.3256008

Published 6 November 2009

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Yoshiomi Kondoh and Toshinobu Fukasawa
Division of Electrical and Electronic Engineering, Graduate School, Gunma University, Kiryu, Gunma 376-8515, Japan
Generalized simultaneous eigenvalue equations derived from a generalized theory of self-organization are applied to a set of simultaneous equations for two-fluid model plasmas. An advanced active control by using theoretical time constants is proposed by predicting quantities to be controlled. Typical high beta numerical configurations are presented for the ultra low q tokamak plasmas and the reversed-field pinch (RFP) ones in cylindrical geometry by solving the set of simultaneous eigenvalue equations. Improved confinement with no detectable saw-teeth oscillations in tokamak experiments is reasonably explained by the shortest time constant of ion flow. The shortest time constant of poloidal ion flow is shown to be a reasonable mechanism for suppression of magnetic fluctuations by pulsed poloidal current drives in RFP experiments. The bifurcation from basic eigenmodes to mixed ones deduced from stability conditions for eigenvalues is shown to be a good candidate for the experimental bifurcation from standard RFP plasmas to their improved confinement regimes. ©2009 American Institute of Physics
History: Received 4 August 2009; accepted 7 October 2009; published 6 November 2009
Permalink: http://link.aip.org/link/?PHPAEN/16/112504/1
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1070-664X (print)   1089-7674 (online)
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REFERENCES (57)
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  1. Y. Kondoh, Nucl. Fusion 21, 1607 (1981).
  2. T. Takahashi, K. Inoue, N. Iwasawa, T. Ishizuka, and Y. Kondoh, Phys. Plasmas 11, 3131 (2004).
  3. S. Chandrasekhar and P. C. Kendall, Astrophys. J. 126, 457 (1957).
  4. S. Chandrasekhar and L. Woltijer, Proc. Natl. Acad. Sci. U.S.A. 44, 285 (1958).
  5. J. B. Taylor, Phys. Rev. Lett. 33, 1139 (1974).
  6. R. Horiuchi and T. Sato, Phys. Rev. Lett. 55, 211 (1985).
  7. B. D. Scott, H. Biglari, P. W. Terry, and P. H. Diamond, Phys. Fluids A B3, 51 (1991).
  8. S. P. Zhu, R. Horiuchi, T. Sato, and Complexity Simulation Group, Phys. Rev. E 51, 6047 (1995).
  9. N. Mizuguchi, Phys. Plasmas 7, 940 (2000).
  10. D. V. Romanov, V. Yu. Bychenkov, W. Rozmus, C. E. Capjack, and R. Fedosejevs, Phys. Rev. Lett. 93, 215004 (2004).
  11. Y. Ono and M. Katsurai, Nucl. Fusion 31, 233 (1991).
  12. K. Sugisaki, Jpn. J. Appl. Phys., Part 1 24, 328 (1985).
  13. Y. Kondoh, K. Sugisaki, Y. Yagi, Y. Hirano, T. Shimada, and E. Tajiri, J. Phys. Soc. Jpn. 62, 2038 (1993).
  14. M. Sanduloviciu, C. Borcia, and G. Leu, Phys. Lett. A 208, 136 (1995).
  15. K. Yamada, S. Tsuji, K. Shimizu, T. Nishitani, and K. Nagashima, Nucl. Fusion 27, 1203 (1987).
  16. F. Ebrahimi, S. C. Prager, and C. R. Sovinec, Phys. Plasmas 9, 2470 (2002).
  17. Y. Kondoh, Phys. Rev. E 48, 2975 (1993).
  18. Y. Kondoh, Phys. Rev. E 49, 5546 (1994).
  19. Y. Kondoh, S. Serizawa, A. Nakano, T. Takahashi, and J. W. Van Dam, Phys. Rev. E 70, 066312 (2004).
  20. Y. Kondoh, Phys. Plasmas 16, 052509 (2009).
  21. Y. Kondoh, Y. Hosaka, J. L. Liang, R. Horiuchi, and T. Sato, J. Phys. Soc. Jpn. 63, 546 (1994).
  22. Y. Kondoh, M. Yoshizawa, A. Nakano, and T. Yabe, Phys. Rev. E 54, 3017 (1996).
  23. Y. Kondoh, T. Yumoto, A. Yamada, N. Kondo, R. Horiuchi, and T. Sato, J. Plasma Fusion Res. 71, 432 (1995) in Japanese.
  24. N. Kondo and Y. Kondoh, J. Plasma Fusion Res. 71, 890 (1995) in Japanese.
  25. Y. Kondoh and J. W. Van Dam, Phys. Rev. E 52, 1721 (1995).
  26. N. Kondo and Y. Kondoh, J. Phys. Soc. Jpn. 65, 1264 (1996).
  27. W. H. Matthaeus, W. T. Stribling, D. Martinez, S. Oughton, and D. Montgomery, Phys. Rev. Lett. 66, 2731 (1991).
  28. Y. Kondoh, T. Takahashi, and H. Momota, J. Plasma Fusion Res. SERIES 4, 349 (2001).
  29. Y. Kondoh, T. Takahashi, and J. W. Van Dam, J. Plasma Fusion Res. SERIES 5, 598 (2002).
  30. Y. Kondoh, T. Takahashi, and J. W. Van Dam, J. Plasma Phys. 72, 901 (2006).
  31. S. I. Braginskii, in Reviews of Plasma Physics, edited by M. A. Leontovich (Consultants Bureau Enterprises, New York, 1965), Vol. 1, p. 215.
  32. A. A. Galeev and R. Z. Sagdeev, Proceedings of the Fourth International Conference, Madison, 1971 (IAEA, Vienna, 1972), Vol. 1, p. 481.
  33. T. Fujita, Y. Kamada, S. Ide, S. Takeji, Y. Sakamoto, A. Isayama, T. Suzuki, T. Oikawa, T. Fukuda, and JT-60 Team, Nucl. Fusion 42, 180 (2002).
  34. Y. Kamada and the JT60 Team, J. Plasma Fusion Res. 78, 949 (2002).
  35. N. C. Hawkes, B. C. Stratton, T. Tara, C. D. Challis, G. Conway, R. DeAngelis, C. Giroud, J. Hobirk, E. Joffrin, P. Lomas, P. Lotte, J. Mailloux, D. Mazon, E. Rachlew, S. Reyes-Cortes, E. Solano, and K. -D. Zastrow, Phys. Rev. Lett. 87, 115001 (2001).
  36. K. Crombé, Y. Andrew, M. Brix, C. Giroud, S. Hacquin, N. C. Hawkes, A. Murari, M. F. F. Nave, J. Ongena, V. Parail, G. Van Oost, I. Voitsekhovitch, and K. -D. Zastrow, Phys. Rev. Lett. 95, 155003 (2005).
  37. Y. Sakamoto, Y. Kamada, S. Ide, T. Fujita, H. Shirai, T. Takizuka, Y. Koide, T. Fukuda, T. Oikawa, T. Suzuki, K. Shinohara, R. Yoshino, and JT-60 Team, Nucl. Fusion 41, 865 (2001).
  38. T. J. J. Tala, J. A. Heikkinen, V. V. Parail, Yu. F. Barabiv, and S. J. Karttunen, Plasma Phys. Controlled Fusion 43, 507 (2001).
  39. O. Sauter, E. Westerhof, M. L. Mayoral, B. Alper, P. A. Belo, R. J. Buttery, A. Gondhalekar, T. Hellsten, T. C. Hender, D. F. Howell, T. Johnson, P. Lamalle, M. J. Mantsinen, F. Milani, M. F. F. Nave, F. Nguyen, A. L. Pecquet, S. D. Pinches, S. Podda, and J. Rapp, Phys. Rev. Lett. 88, 105001 (2002).
  40. M. F. F. Nave, J. Rapp, T. Bolzonella, R. Dux, M. J. Mantsinen, R. Budny, P. Dumortier, M. von Hellermann, S. Jachmich, H. R. Koslowski, G. Maddison, A. Messiaen, P. Monier-Garbet, J. Ongena, M. E. Puiatti, J. Strachan, G. Telesca, B. Unterberg, M. Valisa, P. de Vries, and contributors to the JET-EFDA Workprogramme, Nucl. Fusion 43, 1204 (2003).
  41. M. Ishikawa, T. Nishitani, Y. Kusama, A. Sukegawa, M. Takechi, K. Shinohara, A. Krasilnikov, Y. Kashuck, M. Sasao, M. Isobe, M. Baba, and T. Itoga, J. Plasma Fusion Res. 2, 019 (2007).
  42. N. Oyama, A. Isayama, T. Suzuki, Y. Koide, H. Takenaga, S. Ide, T. Nakano, N. Asakura, H. Kubo, M. Takechi, Y. Sakamoto, Y. Kamada, H. Urano, M. Yoshida, K. Tsuzuki, G. Matsunaga, C. Gormezano, and the JT-60 Team, Nucl. Fusion 47, 689 (2007).
  43. Y. Yagi, H. Koguchi, Y. Hirano, A. Canton, T. Shimada, H. Sakakita, and S. Skine, in Proceedings of the 28th European Physical Society Conference on Controlled Fusion and Plasma Physics, Funchal, Madeira, 18–22 June 2001 (European Physical Society, Geneva, 2001), ECA Vol. 25A, p. 125.
  44. J. S. Sarff, J. K. Anderson, T. M. Biewer, D. L. Brower, S. Castillo, B. E. Chapman, P. K. Chattopadhyay, D. Craig, D. Demers, D. J. Den Hartog, W. Ding, G. Fiksel, C. B. Forest, D. Holly, J. Lei, R. O' Connell, S. C. Prager, J. C. Reardon, U. Shah, and S. Terry, in Proceedings of the 28th European Physical Society Conference on Controlled Fusion and Plasma Physics, Funchal, Madeira, 18–22 June 2001 (European Physical Society, Geneva, 2001), ECA Vol. 25A, p. 1581.
  45. B. E. Chapman, A. F. Almagnim, J. K. Anderson, T. M. Biewer, P. K. Chattopadhyay, C. -S. Chiang, D. Craig, D. J. Den Hartog, G. Fiksel, C. B. Forest, A. K. Hansen, D. Holly, N. E. Lanier, R. O' Connell, S. C. Prager, J. C. Reardon, J. S. Sarff, and M. D. Wyman, Phys. Plasmas 9, 2061 (2002).
  46. Y. Yagi, H. Koguchi, Y. Hirano, H. Sakakita, and L. Frassinetti, Nucl. Fusion 45, 138 (2005).
  47. K. Shinozaki, A. Hoshino, Y. Ishisaki, U. Morita, T. Ohashi, T. Mihara, K. Mitsuda, K. Tanaka, Y. Yagi, H. Koguchi, Y. Hirano, and H. Sakakita, J. Plasma and Fusion Res. SERIES 7, 81 (2006).
  48. Y. Hirano, Y. Yagi, Y. Maejima, T. Shimada, and I. Hirota, Plasma Phys. Controlled Fusion 39, A393 (1997).
  49. D. F. Escande, P. Martin, S. Ortolanim, A. Buffa, P. Franz, L. Marrelli, E. Martines, G. Spizzo, S. Cappello, A. Nurari, R. Pasqualotto, and P. Zanca, Phys. Rev. Lett. 85, 1662 (2000).
  50. H. Sakakita, Y. Yagi, T. Asai, G. Fiksel, L. Frassinetti, K. Hayase, Y. Hirano, P. Innocente, S. Kiyama, H. Koguchi, Y. Sato, T. Shimada, G. Spizzo, D. Terranova, and M. Yoshikawa, Proceedings of the 19th IAEA Fusion Energy Conference, Lyon, France, 2002, edited by International Atomic Energy Agency, Paper No. IAEA-EX/P2-17.
  51. L. Marrelli, P. Martin, G. Spizzo, P. Franz, B. E. Chapman, D. Craig, J. S. Sarff, T. M. Biewer, S. C. Prager, and J. C. Reardon, Phys. Plasmas 9, 2868 (2002).
  52. D. Terranova, A. Alfier, F. Bonomo, P. Franz, P. Innocente, and R. Pasqualotto, Phys. Rev. Lett. 99, 095001 (2007).
  53. Y. Yagi, H. Koguchi, Y. Hirano, T. Shimada, H. Sakakita, S. Skine, B. E. Chapman, and J. S. Sarff, Phys. Plasmas 10, 2925 (2003).
  54. H. Koguchi, H. Sakakita, Y. Hirano, K. Yambe, L. Frassinetti, F. Auriemma, D. Terranova, P. Innocente, S. Kiyama, and T. Shimada, Proceedings of the 22nd IAEA Fusion Energy Conference, Geneva, Switzerland, 2008, edited by International Atomic Energy Agency, Paper No. IAEA-EX/P5-25.
  55. R. Horiuchi and T. Sato, Phys. Plasmas 6, 4565 (1999).
  56. M. Yamada, Phys. Plasmas 14, 058102 (2007).
  57. I. Prigogine, Science 201, 777 (1978).

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