# Gyrokinetic statistical absolute equilibrium and turbulence

@article{Zhu2010GyrokineticSA, title={Gyrokinetic statistical absolute equilibrium and turbulence}, author={Jian-Zhou Zhu and Gregory W. Hammett}, journal={arXiv: Plasma Physics}, year={2010} }

A paradigm based on the absolute equilibrium of Galerkin-truncated inviscid systems to aid in understanding turbulence [T.-D. Lee, "On some statistical properties of hydrodynamical and magnetohydrodynamical fields," 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… Expand

#### 15 Citations

Spectral redistribution of energy and the origin of inverse cascade for gyrokinetics in the sub-Larmor range

- Physics
- 2010

It is known that an inverse cascade of energy occurs in two-dimensional neutral fluid turbulence and also, under certain conditions, in magnetized plasma turbulence. The reason for this phenomenon in… Expand

Freely decaying turbulence of two-dimensional electrostatic gyrokinetics

- Physics
- 2010

In magnetized plasmas, a turbulent cascade occurs in phase space at scales smaller than the thermal Larmor radius ("sub-Larmor scales") [Phys. Rev. Lett. 103, 015003 (2009)]. When the turbulence is… Expand

On the structure and statistical theory of turbulence of extended magnetohydrodynamics

- Physics
- 2016

Recent progress regarding the noncanonical Hamiltonian formulation of extended magnetohydrodynamics (XMHD), a model with Hall drift and electron inertia, is summarized. The advantages of the… Expand

The Gyrokinetic Description of Microturbulence in

- Physics
- 2012

Nonlinear gyrokinetics is the major formalism used for both the analytical and numerical descriptions of low-frequency microturbulence in magnetized plasmas. Its derivation from noncanonical… Expand

The Gyrokinetic Description of Microturbulence in Magnetized Plasmas

- Physics
- 2012

Nonlinear gyrokinetics is the major formalism used for both the analytical and numerical descriptions of low-frequency microturbulence in magnetized plasmas. Its derivation from noncanonical… Expand

Dual cascade and its possible variations in magnetized kinetic plasma turbulence

- Physics, Mathematics
- 2010

Electrostatic gyrokinetic absolute equilibria with continuum velocity field are obtained through the partition function and through the Green function of the functional integral. The new results… Expand

The effect of background flow shear on gyrokinetic turbulence in the cold ion limit

- Physics
- Plasma Physics and Controlled Fusion
- 2019

The cold ion limit of the local gyrokinetic model is rigorously taken to produce a nonlinear system of fluid equations that includes background flow shear. No fluid closure is required. By… Expand

Zonal Flows and Turbulence in Fluids and Plasmas

- Physics
- 2014

In geophysical and plasma contexts, zonal flows are well known to arise out of turbulence. We elucidate the transition from statistically homogeneous turbulence without zonal flows to statistically… Expand

Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales

- Physics
- Physics of Plasmas
- 2018

The direction of cascades in a two-dimensional model that takes electron inertia and ion sound Larmor radius into account is studied, resulting in analytical expressions for the absolute equilibrium… Expand

Statistical properties of three-dimensional two-fluid plasma model

- Physics
- 2015

The nonlinear dynamics of incompressible non-dissipative two-fluid plasma model is investigated through classical Gibbs ensemble methods. Liouville's theorem of phase space for each wave number is… Expand

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Electrostatic gyrokinetic absolute equilibria with continuum velocity field are obtained through the partition function and through the Green function of the functional integral. The new results… Expand