Improved model of quasi-particle turbulence (with applications to Alfvén and drift wave turbulence)

Mendonça, J. T.; Hizanidis, K.

doi:10.1063/1.3656956

Cited by 16 publications

(18 citation statements)

References 32 publications

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“…exactly conserve both Z and E (Appendix C 2). Note that, in order to retain this The ZF velocity U (y, t) obtained by numerically integrating the WKE (41) for H and Γ of two types: (a) our model [Eqs (42)(43)…”

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confidence: 99%

Zonal-flow dynamics from a phase-space perspective

et al. 2016

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The wave kinetic equation (WKE) describing drift-wave (DW) turbulence is widely used in studies of zonal flows (ZFs) emerging from DW turbulence. However, this formulation neglects the exchange of enstrophy between DWs and ZFs and also ignores effects beyond the geometrical-optics limit. We derive a modified theory that takes both of these effects into account, while still treating DW quanta ("driftons") as particles in phase space. The drifton dynamics is described by an equation of the Wigner-Moyal type, which is commonly known in the phase-space formulation of quantum mechanics. In the geometrical-optics limit, this formulation features additional terms missing in the traditional WKE that ensure exact conservation of the total enstrophy of the system, in addition to the total energy, which is the only conserved invariant in previous theories based on the WKE. Numerical simulations are presented to illustrate the importance of these additional terms. The proposed formulation can be considered as a phase-space representation of the second-order cumulant expansion, or CE2.Comment: 14 pages, 4 figure

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confidence: 99%

Zonal-flow dynamics from a phase-space perspective

et al. 2016

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“…Note that our analysis is not completely self-consistent, in the sense that the influence of the perturbed LH ray distributions on the drift wave turbulent spectrum was not considered. This could however be included, in a more elaborate version of the present formalism, using methods similar to those developed in Mendonça and Hizanidis (2011) and Mendonca and Benkadda (2012).…”

Section: Discussionmentioning

confidence: 97%

Transport equations for lower hybrid waves in a turbulent plasma

Mendonça¹,

Horton²,

Galvão³

et al. 2014

J. Plasma Phys.

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International audienceWe consider the limits of validity of ray tracing and ray diffusion equations, for short wavelength waves propagating in a turbulent plasma background. We derive an improved transport equation for the electric field autocorrelation function, where first order diffraction effects associated with these waves are included. We apply this description to the case of lower hybrid (LH) waves propagating in non-stationary plasma where density perturbations can occur due to drift wave turbulence, as well as magnetic field perturbations due to MHD turbulence. This is relevant to the problem of LH current drive

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“…We also included wave growth, damping, spontaneous emission, and scattering of the radiation in the geometric optics approximation. 19,20 Each of the analyses cited above [15][16][17]21 included scattering and some of these other effects for use in laboratory situations. However, in Paper I, we also included LMC 18 which was not incorporated in the other studies cited, but which is needed for the solar-terrestrial applications that we particularly envisage.…”

Section: Introductionmentioning

confidence: 99%

Propagation of radiation in fluctuating multiscale plasmas. II. Kinetic simulations

et al. 2012

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A numerical algorithm is developed and tested that implements the kinetic treatment of electromagnetic radiation propagating through plasmas whose properties have small scale fluctuations, which was developed in a companion paper. This method incorporates the effects of refraction, damping, mode structure, and other aspects of large-scale propagation of electromagnetic waves on the distribution function of quanta in position and wave vector, with small-scale effects of nonuniformities, including scattering and mode conversion approximated as causing drift and diffusion in wave vector. Numerical solution of the kinetic equation yields the distribution function of radiation quanta in space, time, and wave vector. Simulations verify the convergence, accuracy, and speed of the methods used to treat each term in the equation. The simulations also illustrate the main physical effects and place the results in a form that can be used in future applications.

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Improved model of quasi-particle turbulence (with applications to Alfvén and drift wave turbulence)

Cited by 16 publications

References 32 publications

Zonal-flow dynamics from a phase-space perspective

Zonal-flow dynamics from a phase-space perspective

Transport equations for lower hybrid waves in a turbulent plasma

Propagation of radiation in fluctuating multiscale plasmas. II. Kinetic simulations

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