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Implications of Navier-Stokes turbulence theory for plasma turbulence
Plasma turbulence is considered within the framework of the Navier-Stokes turbulence theory. Two-dimensional turbulence is discussed, noting inverse cascades, and compared to three-dimensional turbulence. MHD turbulence is described with reference to applications of the Navier-Stokes theory and the possibility of inverse magnetic cascades. Turbulence in Vlasov plasmas is outlined on the basis of the direct interaction approximation developed for Navier-Stokes fluids (Kraichnan, 1958-1959).
Resonant diffusion in the presence of strong plasma turbulence
The diffusion equation which describes the evolution of the average one particle distribution function for an ensemble of strongly turbulent plasmas is derived. The diffusion tensor is a time integral of the autocorrelation tensor of the fluctuations as observed by particles moving along statistically distributed orbits. These orbits contain the effects of fluctuations and thus differ from those encountered in weak turbulence theory. The plasma trajectory equations are used to relate each to the diffusion tensor itself when the turbulence is electrostatic. The diffusion tensor is explicity evaluated for a strongly turbulent unmagnetized plasma.
Implications of Navier-Stokes turbulence theory for plasma turbulence
The methodology of Navier-Stokes fluid turbulence theory is reviewed, with emphasis placed on the relevance of the Navier-Stokes concepts for understanding plasma turbulence. After a brief consideration of the three-dimensional case, two-dimensional problems are discussed. In addition, MHD turbulence and turbulence in Vlasov plasmas are treated. In particular, the direct interaction approximation developed by Kraichnan (1959) is generalized from Navier-Stokes turbulence theory to produce a computable set of differentio-integral equations for a Vlasov plasma.
Resonant diffusion in the presence of strong plasma turbulence.
The diffusion equation which describes the evolution of the average one-particle distribution function for an ensemble of strongly turbulent plasmas is derived. The diffusion tensor is a time integral of the autocorrelation tensor of the fluctuations as observed by particles moving along statistically distributed orbits. These orbits contain the effects of fluctuations and thus differ from those encountered in weak turbulence theory. Two statistical orbit effects quadratic in the strength of the fluctuations affect the magnitude of the diffusion: (a) modification of the ensemble average orbits by the fluctuations, and (b) statistical dispersion in particle orbits about the average. The plasma trajectory equations are used to relate each to the diffusion tensor itself when the turbulence is electrostatic. The diffusion tensor is explicitly evaluated for a strongly turbulent unmagnetized plasma.
Cascade mechanism of nonlinear interactions between modes in a turbulent plasma
Cascade mechanism for developing hydrodynamical model of nonlinear plasma turbulence
Electric conductivity of weakly turbulent plasmas
Weakly turbulent plasmas static electric conductivity derivation from kinetic equation for linear response to one-particle distribution function
Resonant diffusion in strongly turbulent plasmas.
The effect of turbulent fluctuations on plasma particles is considered, and equations are derived which describe the evolution of macroscopic properties such as temperature and flow speed of the turbulent plasma. Initially, a diffusion equation for a single-particle distribution function averaged over an ensemble of plasmas is derived for an unmagnetized plasma. For the resonant diffusion in strongly turbulent plasmas, an ensemble of three-dimensional plasmas is considered with an approximately homogeneous and stationary distribution of random electromagnetic fluctuations. For each realization, the single-particle distribution function satisfies the Vlasov equation.
Cascade theory of plasma turbulence
Cascade theory of plasma turbulence described by small eddy group mixing with larger ones to provide gradient diffusive flow
Statistical acceleration of particles in turbulent plasma
Statistical mechanics of particle acceleration in turbulent plasma
Conservation equations for weakly turbulent plasmas.
Conservation equations for weakly turbulent plasma in magnetic field derived in quasi-linear approximation
Very long baseline interferometer measurements of plasma turbulence in the solar wind
Plasma turbulence in the solar wind is investigated using angular broadening VLBI measurements at 4.99 GHz of ten extragalactic compact radio sources (quasars). The measured broadening size was corrected for intrinsic source structures which were obtained from separate VLBI observations. It was found that the measured angular sizes are considerably less than those predicted by the Erickson's (1964) empirical relationship, as well as by two other models for the strength of scattering as a function of solar elongation. However, the measurements are in good agreement with a model for the spatial power spectrum of turbulence, proposed by Coles and Harmon (1989).
On the use of a priori statistics in problems of plasma turbulence
Statistical averaging procedure in problems of plasma turbulence involving Vlasov equation
Global Variation of Meteor Trail Plasma Turbulence
We present the first global simulations on the occurrence of meteor trail plasma irregularities. These results seek to answer the following questions: when a meteoroid disintegrates in the atmosphere will the resulting trail become plasma turbulent, what are the factors influencing the development of turbulence, and how do they vary on a global scale. Understanding meteor trail plasma turbulence is important because turbulent meteor trails are visible as non-specular trails to coherent radars, and turbulence influences the evolution of specular radar meteor trails, particularly regarding the inference of mesospheric temperatures from trail diffusion rates, and their usage for meteor burst communication. We provide evidence of the significant effect that neutral atmospheric winds and density, and ionospheric plasma density have on the variability of meteor trail evolution and the observation of nonspecular meteor trails, and demonstrate that trails are far less likely to become and remain turbulent in daylight, explaining several observational trends using non-specular and specular meteor trails.
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Charged particles interaction with turbulent plasma
A unified quasilinear theory of weakly turbulent plasmas
Quasi-linear theory of turbulent plasmas with fluctuation fields and coherent waves
Charged particle interaction with a turbulent plasma
Energy loss or gain per unit time by charged particle interacting with turbulent plasma