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

doi:10.1088/0029-5515/43/9/321

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

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41 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 language	English
Pages (from-to)	961-968
Number of pages	8
Journal	Nuclear Fusion
Volume	43
Issue number	9
DOIs	https://doi.org/10.1088/0029-5515/43/9/321
Publication status	Published - 28 Aug 2003
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics
Condensed Matter Physics

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

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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T1 - Non-perturbative models of intermittency in drift-wave turbulence

T2 - Towards a probabilistic theory of anomalous transport

AU - Kim, Eun Jin

AU - Diamond, P. H.

AU - Malkov, M.

AU - Hahm, T. S.

AU - Itoh, K.

AU - Itoh, S. I.

AU - Champeaux, S.

AU - Gruzinov, I.

AU - Gurcan, O.

AU - Holland, C.

AU - Rosenbluth, M. N.

AU - Smolyakov, A.

PY - 2003/8/28

Y1 - 2003/8/28

N2 - 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.

AB - 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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DO - 10.1088/0029-5515/43/9/321

M3 - Article

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SN - 0029-5515

VL - 43

SP - 961

EP - 968

JO - Nuclear Fusion

JF - Nuclear Fusion

IS - 9

ER -

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

Abstract

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