scholarly journals Lagrangian Statistics for Dispersion in Magnetohydrodynamic Turbulence

2020 ◽  
Vol 125 (11) ◽  
Author(s):  
J. Pratt ◽  
A. Busse ◽  
W.‐C. Müller
Keyword(s):  
Magnetohydrodynamic Turbulence ◽  
Lagrangian Statistics

Magnetohydrodynamic Turbulence of Coronal Active Regions and the Distribution of Nanoflares

1998 ◽  
Vol 505 (2) ◽  
pp. 974-983 ◽  
Author(s):  
Pablo Dmitruk ◽  
Daniel O. Gomez ◽  
Edward E. DeLuca
Keyword(s):  
Active Regions ◽  
Magnetohydrodynamic Turbulence

A compact exact law for compressible isothermal Hall magnetohydrodynamic turbulence

2021 ◽  
Vol 87 (2) ◽  
Author(s):  
Renaud Ferrand ◽  
Sébastien Galtier ◽  
Fouad Sahraoui
Keyword(s):  
Source Term ◽  
Reynolds Numbers ◽  
Space Plasmas ◽  
Order Structure ◽  
Magnetohydrodynamic Turbulence ◽  
Statistical Homogeneity ◽  
Background Magnetic Field ◽  
Taylor Hypothesis ◽  
Spacecraft Data

Using mixed second-order structure functions, a compact exact law is derived for isothermal compressible Hall magnetohydrodynamic turbulence with the assumptions of statistical homogeneity, time stationarity and infinite kinetic/magnetic Reynolds numbers. The resulting law is written as the sum of a Yaglom-like flux term, with an overall expression strongly reminiscent of the incompressible law, and a pure compressible source. Being mainly a function of the increments, the compact law is Galilean invariant but is dependent on the background magnetic field if one is present. Only the magnetohydrodynamic source term requires multi-spacecraft data to be estimated whereas the other components, which include those introduced by the Hall term, can be fully computed with single-spacecraft data using the Taylor hypothesis. These properties make this compact law more appropriate for analysing both numerical simulations and in situ data gathered in space plasmas, in particular when only single-spacecraft data are available.

scholarly journals Two-time energy spectrum of weak magnetohydrodynamic turbulence

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Jean C. Perez ◽  
Augustus A. Azelis ◽  
Sofiane Bourouaine
Keyword(s):  
Energy Spectrum ◽  
Magnetohydrodynamic Turbulence
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