[Table of Contents]

Plasma and Fusion Research

Volume 8, 1102168 (2013)

Review Articles


An Assessment of Limit Cycle Oscillation Dynamics Prior to L-H Transition
Kimitaka ITOH1,2), Sanae-I. ITOH2,3) and Akihide FUJISAWA2,3)
1)
National Institute for Fusion Science, Toki 509-5292, Japan
2)
Itoh Research Center for Plasma Turbulence, Kyushu University, Kasuga 816-8580, Japan
3)
RIAM, Kyushu University, Kasuga 816-8580, Japan
(Received 27 August 2013 / Accepted 29 October 2013 / Published 27 December 2013)

Abstract

In this article, experimental observations of limit cycle oscillations (LCO) that precede L-to-H transition are discussed. Issues are: (1) the existence of zonal flows, (2) spatio-temporal evolutions of turbulence intensity, and (3) periodic generations/decays of mean radial electric field and density. The role of Reynolds stress to accelerate the LCO flow is also addressed. The propagation of changes of the density gradient and turbulence amplitude into the core is commented. Varieties in experimental reports on these issues are explained, and possible origins of different interpretations are discussed. Problem definitions for the future research for resolution are presented.


Keywords

LH-transition, limit cycle oscillation, zonal flow, electric field bifurcation

DOI: 10.1585/pfr.8.1102168


References

  • [1] F. Wagner et al., Phys. Rev. Lett. 49, 1408 (1982).
  • [2] S.-I. Itoh and K. Itoh, Phys. Rev. Lett. 60, 2276 (1988).
  • [3] H. Biglari, P.H. Diamond and P.W. Terry, Phys. Fluids B 2, 1 (1990).
  • [4] R.J. Groebner et al., Phys. Rev. Lett. 64, 3015 (1990).
  • [5] K. Ida et al., Phys. Rev. Lett. 65, 1364 (1990).
  • [6] A. Fujisawa et al., Phys. Rev. Lett. 82, 2669 (1999).
  • [7] F. Wagner, Plasma Phys. Control. Fusion 39, A23 (1997).
  • [8] D.A. Koslov and T-10 Team, Nucl. Fusion 41, 1473 (2001).
  • [9] K.H. Burrel, Rev. Sci. Instrum. 72, 906 (2001).
  • [10] ASDEX Team, Nucl. Fusion 29, 1959 (1989).
  • [11] H. Zohm, Plasma Phys. Control. Fusion 38, 105 (1996).
  • [12] S.-I. Itoh et al., Phys. Rev. Lett. 67, 2485 (1991).
  • [13] P.H. Diamond, K. Itoh, S.-I. Itoh and T.S. Hahm, Plasma Phys. Control. Fusion 47, R35 (2005).
  • [14] E.-J. Kim and P.H. Diamond, Phys. Rev. Lett. 90, 185006 (2003).
  • [15] A. Fukuyama et al., Plasma Phys. Control. Fusion 38, 1319 (1996).
  • [16] K. Miki and P.H. Diamond, Phys. Plasmas 19, 092306 (2012).
  • [17] A. Fujisawa et al., Phys. Rev. Lett. 79, 1054 (1997).
  • [18] T.P. Crowley, IEEE Trans. Plasma Sci. 22, 291 (1994).
  • [19] A. Fujisawa et al., Rev. Sci. Instrum. 63, 3694 (1992).
  • [20] T. Ido et al., Nucl. Fusion 46, 512 (2006).
  • [21] M. Hirsch et al., Plasma Phys. Control. Fusion 43, 1641 (2001).
  • [22] G. Conway et al., Plasma Phys. Control. Fusion 47, 1165 (2005).
  • [23] S.J. Zweben et al., Phys. Plasmas 17, 102502 (2010).
  • [24] I. Shesterikov, Y. Xu, C. Hidalgo, M. Berte, P. Dumortier, M. Van Schoor, M. Vergote, G. Van Oost and the TEXTOR Team, Nucl. Fusion 52, 042004 (2012).
  • [25] Y. Nagashima et al., Phys. Rev. Lett. 95, 095002 (2005).
  • [26] K. Zhao et al., Phys. Rev. Lett. 96, 255004 (2006).
  • [27] Y. Nagashima et al., Rev. Sci. Instrum. 82, 033503 (2011).
  • [28] M. Xu et al., Phys. Rev. Lett. 108, 245001 (2012).
  • [29] S.-I. Itoh, Plasma Fusion Res. 4, 038 (2009).
  • [30] S.-I. Itoh, J. Plasma Fusion Res. 86, 334 (2010) (in Japanese).
  • [31] A. Fujisawa, Nucl. Fusion 49, 013001 (2009).
  • [32] S.-I. Itoh, K. Itoh and A. Fukuyama, Nucl. Fusion 33, 1445 (1993).
  • [33] H. Zohm, Phys. Rev. Lett. 72, 222 (1994).
  • [34] R.J. Colchin et al., Phys. Rev. Lett. 88, 255002 (2002).
  • [35] G.D. Conway et al., Phys. Rev. Lett. 106, 065001 (2011).
  • [36] G.S. Xu et al., Phys. Rev. Lett. 107, 125001 (2011).
  • [37] L. Schmitz et al., Phys. Rev. Lett. 108, 155002 (2012).
  • [38] G.R. Tynan et al., Nucl. Fusion 53, 073053 (2013).
  • [39] J. Cheng et al., Phys. Rev. Lett. 110, 265002 (2013).
  • [40] K.J. Zhao et al., IAEA Fusion Energy Conf. (San Diego, 2012) EX/7-2Ra.
  • [41] T. Kobayashi et al., Phys. Rev. Lett. 111, 035002 (2013).
  • [42] A. Fujisawa et al., Phys. Rev. Lett. 81, 2256 (1998).
  • [43] T. Estrada et al., EPL 92, 35001 (2010).
  • [44] K.H. Burrell et al., International Conf. Plasma Phys. Control. Fusion 1, 123 (1990).
  • [45] J.G. Cordey et al., Nucl. Fusion 35, 101 (1995).
  • [46] K. Itoh and S.-I. Itoh, Plasma Phys. Control. Fusion 38, 1 (1996).
  • [47] K. Itoh, S.-I. Itoh and A. Fukuyama, Transport and Structural Formation in Plasmas (IOP, England, 1999).
  • [48] K. Hallatschek, Plasma Phys. Control. Fusion 49, B137 (2007).
  • [49] M.N. Rosenbluth and F.L. Hinton, Phys. Rev. Lett. 80, 724 (1998).
  • [50] A. Fujisawa et al., Plasma Phys. Control. Fusion 48, S205 (2006).
  • [51] G.R. Hill et al., IAEA Fusion Energy Conf. (San Diego, 2012) OV/1-1.
  • [52] S-I. Itoh and K. Itoh, Plasma Phys. Control. Fusion 53, 015008 (2011).
  • [53] P.K. Kaw et al., Plasma Phys. Control. Fusion 44, 51 (2002).
  • [54] A. Fujiswa, A. Shimizu, H. Nakano et al., J. Phys. Soc. Jpn 76, 033501 (2007).
  • [55] S.-I. Itoh and K. Itoh, Plasma Phys. Control. Fusion 43, 1055 (2001).
  • [56] S. Inagaki et al., Phys. Rev. Lett. 107, 115001 (2011).
  • [57] S. Inagaki et al., Plasma Fusion Res. 6, 1402017 (2011).
  • [58] S. Inagaki et al., Nucl. Fusion 52, 023022 (2012).
  • [59] T.S. Hahm et al., Plasma Phys. Control. Fusion 46, A323 (2004).
  • [60] O.D. Gurcan, P.H. Diamond, T.S. Hahm and Z. Lin, Phys. Plasmas 12, 032303 (2005).
  • [61] X. Garbet et al., Phys. Plasmas 14, 122305 (2007).
  • [62] S. Sugita et al., Plasma Phys. Control. Fusion 54, 125001 (2012).
  • [63] U. Stroth, IAEA Fusion Energy Conf. (San Diego, 2012) OV2/2.
  • [64] K.C. Shaing et al., Phys. Rev. Lett. 63, 2369 (1989).
  • [65] S-I. Itoh and K. Itoh, Nucl. Fusion 29, 1031 (1989).
  • [66] S-I. Itoh, K. Itoh and S. Toda, Phys. Rev. Lett. 89, 215001 (2002).
  • [67] K. Kamiya et al., Phys. Rev. Lett. 105, 045004 (2010).
  • [68] K. Miki et al., Phys. Rev. Lett. 110, 195002 (2013).
  • [69] S.-I. Itoh and K. Itoh, ‘Physics of L-H Transition and the Threshold Condition', presented at 14th International Workshop on H-mode Physics and Transport Barriers (Kasuga, Japan, 2013) (P02-18).
  • [70] M. Yagi, K. Shimizu, T. Takizuka, M. Honda, N. Hayashi, K. Hoshino and A. Fukuyama, Contrib. Plasma Phys. 52, 372 (2012).
  • [71] M. Honda, S. Ide, T. Takizuka, N. Hayashi, M. Yoshida, M. Yagi and T. Fujita, Nucl. Fusion 53, 073050 (2013).
  • [72] M. Honda and A. Fukuyama, J. Comput. Phys. 227, 2808 (2008).
  • [73] A. Fukuyama, R. Kanamori and M. Honda, ‘Transport modeling of rotation and barrier formation in multi-ionspecies plasmas', presented at 14th International Workshop on H-mode Physics and Transport Barriers (Kasuga, Japan, 2013) (P02-09).
  • [74] L. Chôné, P. Beyer, Y. Sarazin, G. Fuhr, C. Bourdelle and S. Benkadda, ‘Spontaneous barrier formation in fluid turbulence simulations with neoclassical force balance', presented at 14th International Workshop on H-mode Physics and Transport Barriers (Kasuga, Japan, 2013) (P02-01).
  • [75] G.Y. Park, S.S. Kim, T. Rhee, H.G. Jhang, P.H. Diamond and X.Q. Xu, ‘BOUT++ flux-driven simulation of edge transport barrier formation with sheared equilibrium flows', presented at 14th International Workshop on H-mode Physics and Transport Barriers (Kasuga, Japan, 2013) (P02-12).
  • [76] A. Strugarek et al., Phys. Rev. Lett. 111, 145001 (2013).
  • [77] K.C. Shaing, R.D. Hazeltine and H. Sanuki, Phys. Fluids B 4, 404 (1992).
  • [78] N. Kasuya and K. Itoh, Phys. Rev. Lett. 94, 195002 (2005).
  • [79] N. Kasuya and K. Itoh, Plasma Phys. Control. Fusion 48, A319 (2006).
  • [80] M. Honda, A. Fukuyama and N. Nakajima, J. Phys. Soc. Jpn. 80, 114502 (2011).
  • [81] R.J. Taylor, M.L. Brown, B.D. Fried et al., Phys. Rev. Lett. 63, 2365 (1989).
  • [82] R.R. Weynants, G. Van Oost, G. Bertschinger et al., Nucl. Fusion 32, 837 (1992).
  • [83] T.E. Stringer, Nucl. Fusion 33, 1249 (1993).
  • [84] K. Itoh, S.-I. Itoh, M. Yagi and A. Fukuyama, Phys. Plasmas 5, 4121 (1998).
  • [85] N. Kasuya, K. Itoh and Y. Takase, Plasma Phys. Control. Fusion 46, A235 (2004).
  • [86] T. Tokuzawa et al., ‘Characteristics of between radial electric field and density fluctuation structures in transition control experiments in LHD', presented at 14th International Workshop on H-mode Physics and Transport Barriers (Kasuga, Japan, 2013) (P02-14).
  • [87] Y. Nagashima et al., Phys. Plasmas 16, 020706 (2009).

This paper may be cited as follows:

Kimitaka ITOH, Sanae-I. ITOH and Akihide FUJISAWA, Plasma Fusion Res. 8, 1102168 (2013).