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Physics of Plasmas : Characterization of self-similarity properties of turbulence in magnetized plasmas

By A. Scipioni, P. Rischette, G. Bonhomme, and P. Devynck

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Book Id: WPLBN0002169633
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 7 November 2008

Title: Physics of Plasmas : Characterization of self-similarity properties of turbulence in magnetized plasmas  
Author: A. Scipioni, P. Rischette, G. Bonhomme, and P. Devynck
Volume: Issue : November 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Physics of Plasmas Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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P. Rischette, G. Bonhomme, And P. Devync, A. S. (n.d.). Physics of Plasmas : Characterization of self-similarity properties of turbulence in magnetized plasmas. Retrieved from http://community.worldebooklibrary.org/


Description
Description: The understanding of turbulence in magnetized plasmas and its role in the cross field transport is still greatly incomplete. Several previous works reported on evidences of long-time correlations compatible with an avalanche-type of radial transport. Persistence properties in time records have been deduced from high values of the Hurst exponent obtained with the rescaled range R/S analysis applied to experimental probe data acquired in the edge of tokamaks. In this paper the limitations of this R/S method, in particular when applied to signals having mixed statistics are investigated, and the great advantages of the wavelets decomposition as a tool to characterize the self-similarity properties of experimental signals are highlighted. Furthermore the analysis of modified simulated fractional Brownian motions (fBm) and fractional Gaussian noises (fGn) allows us to discuss the relationship between high values of the Hurst exponent and long range correlations. It is shown that for such simulated signals with mixed statistics persistence at large time scales can still reflect the self-similarity properties of the original fBm and do not imply the existence of long range correlations, which are destroyed. It is thus questionable to assert the existence of long range correlations for experimental signals with non-Gaussian and mixed statistics just from high values of the Hurst exponent.

 

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