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

Eun Jin Kim, P. H. Diamond, M. Malkov, T. S. Hahm, K. Itoh, S. I. Itoh, S. Champeaux, I. Gruzinov, O. Gurcan, C. Holland, M. N. Rosenbluth, A. Smolyakov

Research output: Contribution to journalArticle

34 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)961-968
Number of pages8
JournalNuclear Fusion
Volume43
Issue number9
DOIs
Publication statusPublished - Sep 1 2003

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probability distribution functions
intermittency
turbulence
Burger equation
calculus
ion temperature
instantons
avalanches
heat flux
temperature gradients
derivation
ions
simulation

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Condensed Matter Physics

Cite this

Kim, E. J., Diamond, P. H., Malkov, M., Hahm, T. S., Itoh, K., Itoh, S. I., ... Smolyakov, A. (2003). Non-perturbative models of intermittency in drift-wave turbulence: Towards a probabilistic theory of anomalous transport. Nuclear Fusion, 43(9), 961-968. https://doi.org/10.1088/0029-5515/43/9/321

Non-perturbative models of intermittency in drift-wave turbulence : Towards a probabilistic theory of anomalous transport. / Kim, Eun Jin; Diamond, P. H.; Malkov, M.; Hahm, T. S.; Itoh, K.; Itoh, S. I.; Champeaux, S.; Gruzinov, I.; Gurcan, O.; Holland, C.; Rosenbluth, M. N.; Smolyakov, A.

In: Nuclear Fusion, Vol. 43, No. 9, 01.09.2003, p. 961-968.

Research output: Contribution to journalArticle

Kim, EJ, Diamond, PH, Malkov, M, Hahm, TS, Itoh, K, Itoh, SI, Champeaux, S, Gruzinov, I, Gurcan, O, Holland, C, Rosenbluth, MN & Smolyakov, A 2003, 'Non-perturbative models of intermittency in drift-wave turbulence: Towards a probabilistic theory of anomalous transport', Nuclear Fusion, vol. 43, no. 9, pp. 961-968. https://doi.org/10.1088/0029-5515/43/9/321
Kim, Eun Jin ; Diamond, P. H. ; Malkov, M. ; Hahm, T. S. ; Itoh, K. ; Itoh, S. I. ; Champeaux, S. ; Gruzinov, I. ; Gurcan, O. ; Holland, C. ; Rosenbluth, M. N. ; Smolyakov, A. / Non-perturbative models of intermittency in drift-wave turbulence : Towards a probabilistic theory of anomalous transport. In: Nuclear Fusion. 2003 ; Vol. 43, No. 9. pp. 961-968.
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