[Table of Contents]

Plasma and Fusion Research

Volume 3, S1029 (2008)

Regular Articles

Dynamic Transport Study of Electron Thermal Energy in Nonlinear Fusion Plasma
Takashi NOTAKE, Shigeru INAGAKI1), Naoki TAMURA, Takeshi FUKUDA2), Shin KUBO, Takashi SHIMOZUMA, Kenji TANAKA and the LHD Experimental Group
National Institute for Fusion Science, Toki 509-5292, Japan
Research Institute for Applied Mechanics, Kyushu University, Fukuoka 816-8580, Japan
Graduate School of Engineering, Osaka University, Osaka 560-0043, Japan
(Received 16 November 2007 / Accepted 28 January 2008 / Published 25 June 2008)


In nuclear fusion plasmas, both thermal energy and particle transports governed by plasma turbulence are anomalously enhanced above neoclassical levels. Plasma turbulence induces various complex phenomena in transport processes, such as nonlinearity and nonlocality. Therefore, it is very important to clarify the relationship between plasma turbulence and anomalous transports. We have approached these complicated problems by analyzing the dynamics, which are recognized as temporal trajectories in a flux-gradient space, rather than using conventional power balance. In particular, in fusion research, it is critical to elucidate the mechanism of electron thermal energy transport, because the incoming burning plasmas are sustained by the heating of alpha particles. In Large Helical Device (LHD), the dynamic relationships between electron thermal fluxes and electron temperature gradients are investigated using modulated electron cyclotron heating and modern electron cyclotron emission diagnostic systems. Some trajectories, such as a hysteresis loop and a line segment with a steep slope, are observed in high-temperature LHD plasmas. Strong nonlinear properties in the transport are revealed by studying the dynamics.


electron thermal transport, dynamic transport, plasma turbulence, Large Helical Device electron cyclotron resonance heating, electron cyclotron emission

DOI: 10.1585/pfr.3.S1029


  • [1] A. Jacchia and P. Mantica, Phys. Fluids, B3, 3033 (1991).
  • [2] K.W. Gentle, R.V. Bravenec, G. Cima, A. Hallock et al., Phys. Plasmas 4, 3599 (1997).
  • [3] K.W. Gentle, M.E. Austin and P.E. Phillips, Phys. Rev. Lett. 87, 125001 (2001).
  • [4] S. Inagaki et al., Nucl. Fusion 46, 133 (2006).
  • [5] S. Inagaki, N. Tamura et al., Plasma Phys. Control. Fusion 48, 251 (2006).
  • [6] K. Ida, S. Inagaki, R. Sakamoto et al., Phys. Rev. Lett. 96, 125006 (2006).
  • [7] N. Tamura, S. Inagkai, K. Tanaka et al., Nucl. Fusion 47, 449 (2007).
  • [8] U. Stroth, L. Giannone et al., Plasma Phys. Control. Fusion 38, 611 (1996).
  • [9] N.J.L. Cardoze, Plasma Phys. Control. Fusion 37, 799 (1995).
  • [10] H. Idei, S. Kubo, H. Sanuki et al., Fusion Eng. Des. 26, 167 (1995).
  • [11] K.W. Gentle, M.E. Austin, J.C. DeBoo, T.C. Luce and C.C. Petty, Phys. Plasmas 13, 012311 (2006).
  • [12] T. Notake, S. Ito, S. Kubo et al., Trans. Fusion Sci. Technol. 51, 409 (2007).
  • [13] V. Erckmann and U. Gasparino, Plasma Phys. Control. Fusion 36, 1869 (1994).
  • [14] X. Garbet, Plasma Phys. Control. Fusion 43, A251 (2001).
  • [15] F. Ryter et al., Phys. Rev. Lett. 86, 2325 (2001).
  • [16] X. Garbet, P. mantica, F. Ryter et al., Plasma Phys. Control. Fusion 46, 1351 (2004).

This paper may be cited as follows:

Takashi NOTAKE, Shigeru INAGAKI, Naoki TAMURA, Takeshi FUKUDA, Shin KUBO, Takashi SHIMOZUMA, Kenji TANAKA and the LHD Experimental Group, Plasma Fusion Res. 3, S1029 (2008).