Journal ArticleDOI
Statistical properties and correlation functions for drift waves
TLDR
In this paper, the dissipative one-field drift wave equation is solved using the pseudospectral method to generate steady-state fluctuations, analyzed in terms of space-time correlation functions and modal probability distributions.Abstract:
The dissipative one-field drift wave equation is solved using the pseudospectral method to generate steady-state fluctuations. The fluctuations are analyzed in terms of space-time correlation functions and modal probability distributions. Nearly Gaussian statistics and exponential decay of the two-time correlation functions occur in the presence of electron dissipation, while in the absence of electron dissipation long-lived vortical structures occur. Formulas from renormalized, Markovianized statistical turbulence theory are given in a local approximation to interpret the dissipative turbulence.read more
Citations
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Fundamental Statistical Descriptions of Plasma Turbulence in Magnetic Fields
TL;DR: In this article, a pedagogical review of the history and current status of statistical theories of plasma turbulence is undertaken, focusing on conceptual foundations and methodology, not practical applications, and a general expression for the renormalized dielectric function is deduced.
Journal ArticleDOI
Quasi-two-dimensional dynamics of plasmas and fluids.
Wendell Horton,Akira Hasegawa +1 more
TL;DR: This article reviews the linear and nonlinear dynamics of the quasi-two-dimensional aspect of plasmas and planetary atmosphere starting from the introduction of the ideal model equation (CHM equation) and extending into the most recent progress in plasma turbulence.
Journal ArticleDOI
Nonlinear drift waves and transport in magnetized plasma
TL;DR: In this article, the intrinsic stochasticity of the particle motions is analyzed for several types of drift wave systems, and the resulting diffusivities are applied to several tokamaks.
Reply to comments of J. A. Krommes on ''Theory of dissipative density-gradient driven turbulence in the tokamak edge''
Paul Terry,Patrick Diamond +1 more
TL;DR: In this article, Krommes attempts to extrapolate results and intuition of homogeneous Navier-Stokes turbulence (HN-ST) to the more complicated case of dissipative drift-wave turbulence (DD-WT).
Journal ArticleDOI
Tokamak edge turbulence: background theory and computation
TL;DR: In this article, the basic scales of motion and computational requirements for low frequency fluid drift turbulence are summarized in tutorial fashion, with emphasis on the tokamak edge region, and a trans-collisional gyrofluid model to treat cases with comparable ion and electron temperature.
References
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Journal ArticleDOI
The emergence of isolated coherent vortices in turbulent flow
TL;DR: In this article, a study of two-dimensional and geostrophic turbulent flows is presented, showing that the flow structure has vorticity concentrated in a small fraction of the spatial domain, and these concentrations typically have lifetimes long compared with the characteristic time for nonlinear interactions in turbulent flow (i.e. an eddy turnaround time).
Journal ArticleDOI
Two-dimensional turbulence
Robert H. Kraichnan,D Montgomery +1 more
TL;DR: The theory of two-dimensional turbulence is reviewed and unified, and some hydrodynamic and plasma applications are considered in this paper, where some equations of incompressible hydrodynamics, absolute statistical equilibrium, spectral transport of energy and enstrophy, turbulence on the surface of a rotating sphere, turbulent diffusion, MHD turbulence, and two dimensional superflow are discussed.
Journal ArticleDOI
Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
Akira Hasegawa,Kunioki Mima +1 more
TL;DR: In this paper, a simple nonlinear equation is derived to describe the pseudo-three-dimensional dynamics of a nonuniform magnetized plasma with Te≫Ti by taking into account the three-dimensional electron, but two-dimensional ion dynamics in the direction perpendicular to B0.
Journal ArticleDOI
Inertial-range transfer in two- and three-dimensional turbulence
TL;DR: In this paper, an almost-Markovian Galilean-in variant turbulence model was proposed for the k−3 enstrophy-transfer range in two-dimensional turbulence.
Journal ArticleDOI
Plasma Edge Turbulence
Akira Hasegawa,Masahiro Wakatani +1 more
TL;DR: In this paper, model-coupling equations for the resistive drift-wave instability were derived and numerically solved to study the properties of turbulence near a plasma edge, and the wavenumber spectrum of the turbulence was found to exhibit an inverse cascade to form an isotropic, two-dimensional Kolmogorov spectrum, in the large wave-number regime.
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