Transition from a coherent three wave system to turbulence with application to the fluid closure

2014 ◽  
Vol 81 (1) ◽  
Author(s):  
Jan Weiland ◽  
Chuan S. Liu ◽  
Anatoly Zagorodny
Keyword(s):  
Distribution Function ◽  
Wave Packet ◽  
Random Phase ◽  
Maxwellian Distribution ◽  
Wave System ◽  
Nonlinear Frequency ◽  
Frequency Shifts ◽  
Wave Dynamics ◽  
Phase Velocities ◽  
Maxwellian Distribution Function

AbstractWe start from a Mattor–Parker system and its generalization to include diffusion and derive the Random Phase equations. It is shown that the same type of fluid closure holds in the coherent and turbulent regimes. This is due to the fact that the Random Phase levels (1/I1 = 1/I2 + 1/I3), where Ij is the intensity of wave packet ‘j’, are attractors for the wave dynamics both in the coherent and incoherent cases. Focus here is on the wave dynamics with phase velocities varying due to nonlinear frequency shifts. Thus a Maxwellian distribution function is kept in all cases.

The Drifted Maxwellian Distribution Function in InSb

1967 ◽  
Vol 20 (2) ◽  
pp. K135-K139 ◽  
Author(s):  
G. Jones ◽  
G. Smith ◽  
A. R. Beattle
Keyword(s):  
Distribution Function ◽  
Maxwellian Distribution ◽  
Maxwellian Distribution Function

The Excitation Equilibrium in the Solar Corona and Non-Maxwellian Electron Distributions

1994 ◽  
Vol 144 ◽  
pp. 435-438
Author(s):  
E. Dzifčáková
Keyword(s):  
Distribution Function ◽  
Solar Corona ◽  
Maxwellian Distribution ◽  
Collisional Excitation ◽  
Excitation Coefficient ◽  
Electron Distributions ◽  
Maxwellian Distribution Function ◽  
Excitation Equilibrium

AbstractWe demonstrate the influence of an electron non-Maxwellian distribution function on the collisional excitation coefficient and, as an example, on the excitation equilibrium of Fe XIV in the solar corona. The results can be used for specific applications in the solar corona, especially in the active corona, where deviations from Maxwellian distribution can be significant.

Weakly relativistic dielectric tensor in the presence of temperature anisotropy

1990 ◽  
Vol 44 (2) ◽  
pp. 319-335 ◽  
Author(s):  
M. Bornatici ◽  
G. Chiozzi ◽  
P. de Chiara
Keyword(s):  
Distribution Function ◽  
Cyclotron Frequency ◽  
Electron Cyclotron ◽  
Maxwellian Distribution ◽  
Larmor Radius ◽  
Dielectric Tensor ◽  
Temperature Anisotropy ◽  
Finite Larmor Radius ◽  
Maxwellian Distribution Function ◽  
Analytical Expressions

Analytical expressions for the weakly relativistic dielectric tensor near the electron-cyclotron frequency and harmonies are obtained to any order in finite-Larmor-radius effects for a bi-Maxwellian distribution function. The dielectric tensor is written in ternis of generalized Shkarofsky dispersion functions, whose properties are well known. Relevant limiting cases are considered and, in particular, the anti-Hermitian part of the (fully relativistic) dielectric tensor is evaluated for two cases of strong temperature anisotropy.

Cyclotron instabilities of a magnetized electron plasma with anisotropic temperatures

1977 ◽  
Vol 17 (3) ◽  
pp. 453-465 ◽  
Author(s):  
C. Chiuderi ◽  
G. Einaudi ◽  
R. Giachetti
Keyword(s):  
Magnetic Field ◽  
Distribution Function ◽  
Dispersion Relation ◽  
Growth Rates ◽  
Linear Growth ◽  
Electron Plasma ◽  
Maxwellian Distribution ◽  
Analytical Treatment ◽  
Maxwellian Distribution Function ◽  
Instability Regions

The dispersion relation for an electron plasma in a magnetic field is investigated for a bi-Maxwellian distribution function. A new set of solutions for non-perpendicular propagation is found. The linear growth rates are computed and the instability regions in the (k, cos θ) plane are determined. An approximate analytical treatment of the problem is also given for certain ranges of the parameters.

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