Gyrokinetic statistical absolute equilibrium and turbulence

Zhu, Jian-Zhou; Hammett, Gregory W.

doi:doi:10.1063/1.3514141

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Generation of wakefields by whistlers in spin quantum magnetoplasmas

The excitation of electrostatic wakefields in a magnetized spin quantum plasma by the classical and the spin-induced ponderomotive force (CPF and SPF, respectively) due to whistler waves is reported. The nonlinear dynamics of the whistlers and the wakefields is shown to be governed by a coupled set of nonlinear Schrödinger and driven Boussinesq-like equations. It is found that the quantum force associated with the Bohm potential introduces two characteristic length scales, which lead to the exc...

Formation of large-scale structures in ablative Kelvin–Helmholtz instability

In this research, we studied numerically nonlinear evolutions of the Kelvin–Helmholtz instability (KHI) with and without thermal conduction, aka, the ablative KHI (AKHI) and the classical KHI (CKHI). The second order thermal conduction term with a variable thermal conductivity coefficient is added to the energy equation in the Euler equations in the AKHI to investigate the effect of thermal conduction on the evolution of large and small scale structures within the shear layer which separate the...

A paradigm based on the absolute equilibrium of Galerkin-truncated inviscid systems to aid in understanding turbulence [ T.-D. Lee, Q. Appl. Math. 10, 69 (1952) ] is taken to study gyrokinetic plasma turbulence: a finite set of Fourier modes of the collisionless gyrokinetic equations are kept and the statistical equilibria are calculated; possible implications for plasma turbulence in various situations are discussed. For the case of two spatial and one velocity dimension, in the calculation with discretization also of velocity v with N grid points (where N+1 quantities are conserved, corresponding to an energy invariant and N entropy-related invariants), the negative temperature states, corresponding to the condensation of the generalized energy into the lowest modes, are found. This indicates a generic feature of inverse energy cascade. Comparisons are made with some classical results, such as those of Charney–Hasegawa–Mima in the cold-ion limit. There is a universal shape for statistical equilibrium of gyrokinetics in three spatial and two velocity dimensions with just one conserved quantity. Possible physical relevance to turbulence, such as ITG zonal flows, and to a critical balance hypothesis are also discussed.

Article Outline

INTRODUCTION
FORMULATING THE PROBLEM AND CALCULATING THE ABSOLUTE EQUILIBRIA
1. 2D gyrokinetic absolute equilibria
  1. Discussion concerning 2+1D gyrokinetic spectra
2. 3+2D gyrokinetic absolute equilibria
  1. Relevance to 3D plasma turbulence
CONCLUSION AND FURTHER REMARKS

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KEYWORDS and PACS

Keywords

Galerkin method, plasma kinetic theory, plasma magnetohydrodynamics, plasma temperature, plasma transport processes, plasma turbulence

PACS

52.35.Ra

Plasma turbulence
52.30.Cv

Magnetohydrodynamics (including electron magnetohydrodynamics)
52.35.Bj

Magnetohydrodynamic waves (e.g., Alfven waves)
52.25.Fi

Transport properties
02.70.Dh

Finite-element and Galerkin methods
52.25.Dg

Plasma kinetic equations

ARTICLE DATA

Digital Object Identifier

http://dx.doi.org/10.1063/1.3514141

PUBLICATION DATA

ISSN

1070-664X (print)

1089-7674 (online)

Publisher

$abstract.society.value is a Member of CrossRef

American Institute of Physics

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