Multiple harmonics of electron waves studied using weak turbulence theory in a two-dimensional formulation

2021 ◽  
Vol 28 (10) ◽  
pp. 102302
Author(s):  
E. C. Fonseca-Pongutá ◽  
L. F. Ziebell ◽  
R. Gaelzer
Keyword(s):  
Turbulence Theory ◽  
Weak Turbulence ◽  
Two Dimensional ◽  
Weak Turbulence Theory

scholarly journals A weak turbulence theory for incompressible magnetohydrodynamics

2000 ◽  
Vol 63 (5) ◽  
pp. 447-488 ◽  
Author(s):  
S. GALTIER ◽  
S. V. NAZARENKO ◽  
A. C. NEWELL ◽  
A. POUQUET
Keyword(s):  
Magnetic Field ◽  
Kinetic Equations ◽  
Turbulence Theory ◽  
Energy Spectra ◽  
Weak Turbulence ◽  
Two Dimensional ◽  
Wave Interactions ◽  
Weak Turbulence Theory ◽  
The Magnetic Field ◽  
Incompressible Magnetohydrodynamics

We derive a weak turbulence formalism for incompressible magnetohydrodynamics. Three-wave interactions lead to a system of kinetic equations for the spectral densities of energy and helicity. The kinetic equations conserve energy in all wavevector planes normal to the applied magnetic field B0ê∥. Numerically and analytically, we find energy spectra E± ∼ kn±⊥, such that n+ + n− = −4, where E± are the spectra of the Elsässer variables z± = v ± b in the two-dimensional case (k∥ = 0). The constants of the spectra are computed exactly and found to depend on the amount of correlation between the velocity and the magnetic field. Comparison with several numerical simulations and models is also made.

Electrostatic weak turbulence theory for warm magnetized plasmas

2021 ◽  
Vol 28 (12) ◽  
pp. 122302
Author(s):  
Peter H. Yoon ◽  
Luiz F. Ziebell
Keyword(s):  
Turbulence Theory ◽  
Magnetized Plasmas ◽  
Weak Turbulence ◽  
Weak Turbulence Theory
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