Statistical analysis technique for estimation of causal relationship in plasma turbulence

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Abstract

A new method of analyzing the causal relationship of the interaction between various fluctuating quantities and the mean gradient in turbulent plasmas is proposed. This method involves (1) calculating the correlation coefficient R and the directional area A for the pair of turbulent quantities of interest, and (2) creating a time ensemble consisting of (R; A) during many fluctuation periods. The statistical features of each ensemble can be used to determine the order of occurrence, and hence, the causal relationship between the two fluctuating quantities. We apply this analytical method to the analysis of a plasma in which the drift wave and interchange mode interact with and are modulated by the density gradient. The causal relationship between the drift wave and the density gradient is discussed.

Original languageEnglish
Article number024501
JournalJournal of the Physical Society of Japan
Volume79
Issue number2
DOIs
Publication statusPublished - Feb 1 2010

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plasma turbulence
statistical analysis
gradients
correlation coefficients
occurrences
interactions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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title = "Statistical analysis technique for estimation of causal relationship in plasma turbulence",
abstract = "A new method of analyzing the causal relationship of the interaction between various fluctuating quantities and the mean gradient in turbulent plasmas is proposed. This method involves (1) calculating the correlation coefficient R and the directional area A for the pair of turbulent quantities of interest, and (2) creating a time ensemble consisting of (R; A) during many fluctuation periods. The statistical features of each ensemble can be used to determine the order of occurrence, and hence, the causal relationship between the two fluctuating quantities. We apply this analytical method to the analysis of a plasma in which the drift wave and interchange mode interact with and are modulated by the density gradient. The causal relationship between the drift wave and the density gradient is discussed.",
author = "Kunihiro Kamataki and Kimitaka Itoh and Sanae Itoh and akihide fujisawa and Inagaki Shigeru and Yoshihiko Nagashima and Masatoshi Yagi and Takuma Yamada",
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T1 - Statistical analysis technique for estimation of causal relationship in plasma turbulence

AU - Kamataki, Kunihiro

AU - Itoh, Kimitaka

AU - Itoh, Sanae

AU - fujisawa, akihide

AU - Shigeru, Inagaki

AU - Nagashima, Yoshihiko

AU - Yagi, Masatoshi

AU - Yamada, Takuma

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N2 - A new method of analyzing the causal relationship of the interaction between various fluctuating quantities and the mean gradient in turbulent plasmas is proposed. This method involves (1) calculating the correlation coefficient R and the directional area A for the pair of turbulent quantities of interest, and (2) creating a time ensemble consisting of (R; A) during many fluctuation periods. The statistical features of each ensemble can be used to determine the order of occurrence, and hence, the causal relationship between the two fluctuating quantities. We apply this analytical method to the analysis of a plasma in which the drift wave and interchange mode interact with and are modulated by the density gradient. The causal relationship between the drift wave and the density gradient is discussed.

AB - A new method of analyzing the causal relationship of the interaction between various fluctuating quantities and the mean gradient in turbulent plasmas is proposed. This method involves (1) calculating the correlation coefficient R and the directional area A for the pair of turbulent quantities of interest, and (2) creating a time ensemble consisting of (R; A) during many fluctuation periods. The statistical features of each ensemble can be used to determine the order of occurrence, and hence, the causal relationship between the two fluctuating quantities. We apply this analytical method to the analysis of a plasma in which the drift wave and interchange mode interact with and are modulated by the density gradient. The causal relationship between the drift wave and the density gradient is discussed.

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