Kinetic theory for low-frequency turbulence in magnetized plasmas including discrete-particle effects

2008 ◽  
Vol 15 (12) ◽  
pp. 122312 ◽  
Author(s):  
Peter H. Yoon ◽  
Ta-Ming Fang
Keyword(s):  
Kinetic Theory ◽  
Low Frequency ◽  
Magnetized Plasmas ◽  
Discrete Particle

scholarly journals Long-time discrete particle effects versus kinetic theory in the self-consistent single-wave model

2001 ◽  
Vol 64 (2) ◽  
Author(s):  
M-C. Firpo ◽  
F. Doveil ◽  
Y. Elskens ◽  
P. Bertrand ◽  
M. Poleni ◽  
...  
Keyword(s):  
Kinetic Theory ◽  
Wave Model ◽  
The Self ◽  
Single Wave ◽  
Discrete Particle ◽  
Self Consistent ◽  
Long Time

Low-frequency thermal noise in magnetized plasmas

1996 ◽  
Vol 53 (6) ◽  
pp. 720-727
Author(s):  
Klaus Elsässer ◽  
Hamid Saleem
Keyword(s):  
Thermal Noise ◽  
Low Frequency ◽  
Magnetized Plasmas

scholarly journals Low frequency electromagnetic fluctuations in Kappa magnetized plasmas

2018 ◽  
Vol 60 (7) ◽  
pp. 075010
Author(s):  
Sunjung Kim ◽  
M Lazar ◽  
R Schlickeiser ◽  
R A López ◽  
P H Yoon
Keyword(s):  
Low Frequency ◽  
Magnetized Plasmas

scholarly journals An introductory guide to fluid models with anisotropic temperatures. Part 2. Kinetic theory, Padé approximants and Landau fluid closures

2019 ◽  
Vol 85 (6) ◽  
Author(s):  
P. Hunana ◽  
A. Tenerani ◽  
G. P. Zank ◽  
M. L. Goldstein ◽  
G. M. Webb ◽  
...  
Keyword(s):  
Kinetic Theory ◽  
Fourth Order ◽  
Low Frequency ◽  
Padé Approximants ◽  
Landau Damping ◽  
Order Moment ◽  
Fluid Models ◽  
Frequency Limit ◽  
Long Wavelength ◽  
Pade Approximants

In Part 2 of our guide to collisionless fluid models, we concentrate on Landau fluid closures. These closures were pioneered by Hammett and Perkins and allow for the rigorous incorporation of collisionless Landau damping into a fluid framework. It is Landau damping that sharply separates traditional fluid models and collisionless kinetic theory, and is the main reason why the usual fluid models do not converge to the kinetic description, even in the long-wavelength low-frequency limit. We start with a brief introduction to kinetic theory, where we discuss in detail the plasma dispersion function $Z(\unicode[STIX]{x1D701})$ , and the associated plasma response function $R(\unicode[STIX]{x1D701})=1+\unicode[STIX]{x1D701}Z(\unicode[STIX]{x1D701})=-Z^{\prime }(\unicode[STIX]{x1D701})/2$ . We then consider a one-dimensional (1-D) (electrostatic) geometry and make a significant effort to map all possible Landau fluid closures that can be constructed at the fourth-order moment level. These closures for parallel moments have general validity from the largest astrophysical scales down to the Debye length, and we verify their validity by considering examples of the (proton and electron) Landau damping of the ion-acoustic mode, and the electron Landau damping of the Langmuir mode. We proceed by considering 1-D closures at higher-order moments than the fourth order, and as was concluded in Part 1, this is not possible without Landau fluid closures. We show that it is possible to reproduce linear Landau damping in the fluid framework to any desired precision, thus showing the convergence of the fluid and collisionless kinetic descriptions. We then consider a 3-D (electromagnetic) geometry in the gyrotropic (long-wavelength low-frequency) limit and map all closures that are available at the fourth-order moment level. In appendix A, we provide comprehensive tables with Padé approximants of $R(\unicode[STIX]{x1D701})$ up to the eighth-pole order, with many given in an analytic form.

Mode properties of low-frequency waves: Kinetic theory versus Hall-MHD

1994 ◽  
Vol 99 (A4) ◽  
pp. 5987 ◽  
Author(s):  
D. Krauss-Varban ◽  
N. Omidi ◽  
K. B. Quest
Keyword(s):  
Kinetic Theory ◽  
Low Frequency ◽  
Theory Versus ◽  
Hall Mhd ◽  
Low Frequency Waves
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