Plasma and Fusion Research

Volume 9, 3403018 (2014)

Regular Articles

Relative Dispersion of Trapped Ion Granulations in Sheared Flows
Yusuke KOSUGA1,2), Sanae -I. ITOH2,3), Patrick H. DIAMOND4,5), Kimitaka ITOH3,6) and Maxime LESUR3)
1)
Institute for Advanced Study, Kyushu University, Fukuoka 812-8581, Japan
2)
Research Institute for Applied Mechanics, Kyushu University, Kasuga 816-8580, Japan
3)
Itoh Research Center for Plasma Turbulence, Kyushu University, Kasuga 816-8580, Japan
4)
CASS and CMTFO, UCSD, San Diego 92093, USA
5)
WCI Center for Fusion Theory, NFRI, Daejeon 305-806, Korea
6)
National Institute for Fusion Study, Toki 509-5292, Japan
(Received 20 November 2013 / Accepted 29 January 2014 / Published 28 February 2014)

Abstract

The life time of trapped ion granulations (trapped ions correlated by resonance) in sheared flows is calculated. The dynamics of trapped ion granulations, in the presence of sheared flows, is formulated in terms of two point correlation function of phase space density fluctuations. The evolution equation is closed by a simplified closure calculation of the triplet term. Based on the closed equation, the life time of the relative dispersion of trapped ion granulations is calculated. The result shows that i.) a relevant time scale enters via a hybrid of decorrelation and shearing, (Δωcv'y2)1/3 and ii.) small scale singularities in the absence of collisional dissipation enters through logarithmic divergence.

Keywords

trapped ion, granulation, sheared flow, relative dispersion, life time

DOI: 10.1585/pfr.9.3403018

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References

  • [1] B.B. Kadomtsev, Plasma Turbulence (Academic, New York, 1965).
  • [2] G.S. Lee and P.H. Diamond, Phys. Fluids 29, 3291 (1986).
  • [3] H. Biglari, P.H. Diamond and P.W. Terry, Phys. Fluids B 2, 1 (1990).
  • [4] T.S. Hahm and K. Burrell, Phys. Plasmas 2, 1648 (1995).
  • [5] Ö.D. Gürcan, Phys. Rev. Lett. 109, 155006 (2012).
  • [6] T.H. Dupree, Phys. Fluids 15, 334 (1972).
  • [7] P.H. Diamond, S.-I. Itoh and K. Itoh, Modern Plasma Physics Vol.1: Physical Kinetics of Turbulent Plasmas (Cambridge University Press, Cambridge, 2011).
  • [8] M. Lesur and P.H. Diamond, Phys. Rev. E 87, 031101(R) (2013).
  • [9] P.H. Diamond, P.L. Similon, P.W. Terry, C.W. Horton, S.M. Mahajan, J.D. Meiss, M.N. Rosenbluth, K. Swartz, T. Tajima and R.D. Hazeltine, Plasma Physics and Controlled Nuclear Fusion Research 1982 (IAEA, Vienna, 1983).
  • [10] H. Biglari, P.H. Diamond and P.W. Terry, Phys. Fluids 31, 2644 (1988).
  • [11] B.B. Kadomtsev and P.O. Pogutse, Reviews of Plasma Physics, edited by M. A. Leontovich (Consultants Bureau, New York, 1970) Vol. 5.
  • [12] Lu Wang and T.S. Hahm, Phys. Plasmas 16, 062309 (2009).
  • [13] Y. Kosuga and P.H. Diamond, Plasma Fusion Res. 5, S2051 (2010).
  • [14] Y. Kosuga and P.H. Diamond, Phys. Plasmas 18, 122305 (2011).
  • [15] M. Lesur, Phys. Plasmas 20, 055905 (2013).

This paper may be cited as follows:

Yusuke KOSUGA, Sanae -I. ITOH, Patrick H. DIAMOND, Kimitaka ITOH and Maxime LESUR, Plasma Fusion Res. 9, 3403018 (2014).