Non-Gaussian invariant measures for the Majda model of decaying turbulent transport

2001 ◽  
Vol 54 (9) ◽  
pp. 1146-1167 ◽  
Author(s):  
Eric Vanden Eijnden
Keyword(s):  
Invariant Measures ◽  
Turbulent Transport ◽  
Non Gaussian ◽  
Majda Model

scholarly journals Generalized self-similarity of intermittent plasma turbulence in space and laboratory plasmas

2015 ◽  
Vol 81 (6) ◽  
Author(s):  
V. P. Budaev ◽  
L. M. Zelenyi ◽  
S. P. Savin
Keyword(s):  
Turbulent Transport ◽  
Poisson Model ◽  
Plasma Turbulence ◽  
Dissipative Structures ◽  
Statistical Characteristics ◽  
Self Similarity ◽  
Laboratory Plasmas ◽  
Scale Range ◽  
Universal Properties ◽  
Non Gaussian

Statistical characteristics of plasma fluctuations in the solar wind (SW), the Earth’s magnetosphere and fusion devices are reviewed. The turbulence in all these media has a complicated multiscale structure and exhibits a generalized self-similarity in an extended scale range. The anomalous transport of mass and momentum is intermittent and is carried by sporadic plasma flux bursts with non-Gaussian statistics, long-range correlation and multifractality. Intermittent turbulent transport is characterized by superdiffusion with power law$\langle {\it\delta}x^{2}\rangle \propto {\it\tau}^{{\it\alpha}}$,${\it\alpha}\approx 1.2{-}1.8$. The structure functions in all these plasma environments are well fitted by the log-Poisson model of turbulence. Intermittent plasma turbulence displays universal properties and consists of quasi-1-D singular dissipative structures.

scholarly journals Evolution of the Probability Measure for the Majda Model: New Invariant Measures and Breathing PDFs

2007 ◽  
Vol 130 (2) ◽  
pp. 343-371 ◽  
Author(s):  
Roberto Camassa ◽  
Zhi Lin ◽  
Richard M. McLaughlin
Keyword(s):  
Probability Measure ◽  
Invariant Measures ◽  
Majda Model
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