### Abstract

Original language | English |
---|---|

Number of pages | 1 |

Journal | Physics of Plasmas |

Volume | 9 |

Issue number | 1 |

DOIs | |

Publication status | Published - 17 Dec 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Condensed Matter Physics

### Cite this

*Physics of Plasmas*,

*9*(1). https://doi.org/10.1063/1.1421616

**Theory of the momentum flux probability distribution function for drift wave turbulence.** / Kim, Eun Jin; Diamond, P. H.

Research output: Contribution to journal › Article

*Physics of Plasmas*, vol. 9, no. 1. https://doi.org/10.1063/1.1421616

}

TY - JOUR

T1 - Theory of the momentum flux probability distribution function for drift wave turbulence

AU - Kim, Eun Jin

AU - Diamond, P. H.

PY - 2001/12/17

Y1 - 2001/12/17

N2 - An analytical theory of the tails of the probability distribution function (PDF) for the local Reynolds stress (R) is given for forced Hasegawa–Mima turbulence. The PDF tail is treated as a transition amplitude from an initial state, with no fluid motion, to final states with different values of R due to nonlinear coherent structures in the long time limit. With the modeling assumption that the nonlinear structure is a modon (an exact solution of a nonlinear Hasegawa–Mima equation) in space, this transition amplitude is determined by an instanton. An instanton is localized in time and can be associated with bursty and intermittent events which are thought to be responsible for PDF tails. The instanton is found via a saddle-point method applied to the PDF, represented by a path integral. It implies the PDF tail for R with the specific form exp[−cR3/2], which is a stretched, non-Gaussian exponential.

AB - An analytical theory of the tails of the probability distribution function (PDF) for the local Reynolds stress (R) is given for forced Hasegawa–Mima turbulence. The PDF tail is treated as a transition amplitude from an initial state, with no fluid motion, to final states with different values of R due to nonlinear coherent structures in the long time limit. With the modeling assumption that the nonlinear structure is a modon (an exact solution of a nonlinear Hasegawa–Mima equation) in space, this transition amplitude is determined by an instanton. An instanton is localized in time and can be associated with bursty and intermittent events which are thought to be responsible for PDF tails. The instanton is found via a saddle-point method applied to the PDF, represented by a path integral. It implies the PDF tail for R with the specific form exp[−cR3/2], which is a stretched, non-Gaussian exponential.

UR - http://www.scopus.com/inward/record.url?scp=0036149542&partnerID=8YFLogxK

U2 - 10.1063/1.1421616

DO - 10.1063/1.1421616

M3 - Article

VL - 9

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 1

ER -