Non-perturbative models of intermittency in drift-wave turbulence: towards a probabilistic theory of anomalous transport

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Published 28 August 2003 • Published under licence by IOP Publishing Ltd
, , Citation Eun-jin Kim et al 2003 Nucl. Fusion 43 961 DOI 10.1088/0029-5515/43/9/321

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Author affiliations

1 Department of Physics, University of California San Diego, La Jolla, CA 92093-0319, USA

2 Princeton University, Princeton Plasmas Physics Laboratory, PO Box 451, Princeton, NJ 08543, USA

3 National Institute for Fusion Science, Toki, 509-5292, Japan

4 Research Institute for Applied Mechanics, Kyushu University, Kasuga 816-8580, Japan

5 University of Saskatchewan, Saskatoon, S7N5E2, Canada

Dates

  1. Received 15 November 2002
  2. Accepted 10 July 2003
  3. Published

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0029-5515/43/9/961

Abstract

Two examples of non-perturbative models of intermittency in drift-wave (DW) turbulence are presented. The first is a calculation of the probability distribution function (PDF) of ion heat flux due to structures in ion temperature gradient turbulence. The instanton calculus predicts the PDF to be a stretched exponential. The second is a derivation of a bi-variate Burgers equation for the evolution of the DW population density in the presence of radially extended streamer flows. The PDF of fluctuation intensity avalanches is determined. The relation of this to turbulence spreading, observed in simulations, is discussed.

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