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Phys. Plasmas 19, 022306 (2012); http://dx.doi.org/10.1063/1.3684672 (15 pages)

Three-dimensional electromagnetic strong turbulence: Dependence of the statistics and dynamics of strong turbulence on the electron to ion temperature ratio

D. B. Graham1, Iver H. Cairns1, O. Skjaeraasen2, and P. A. Robinson1

1School of Physics, University of Sydney, New South Wales 2006, Australia
2ProsTek, Institute for Energy Technology, P.O. Box 40, N-2027 Kjeller, Norway

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(Received 7 December 2011; accepted 12 January 2012; published online 17 February 2012)

The temperature ratio Ti/Te of ions to electrons affects both the ion-damping rate and the ion-acoustic speed in plasmas. The effects of changing the ion-damping rate and ion-acoustic speed are investigated for electrostatic strong turbulence and electromagnetic strong turbulence in three dimensions. When ion damping is strong, density wells relax in place and act as nucleation sites for the formation of new wave packets. In this case, the density perturbations are primarily density wells supported by the ponderomotive force. For weak ion damping, corresponding to low Ti/Te, ion-acoustic waves are launched radially outwards when wave packets dissipate at burnout, thereby increasing the level of density perturbations in the system and thus raising the level of scattering of Langmuir waves off density perturbations. Density wells no longer relax in place so renucleation at recent collapse sites no longer occurs, instead wave packets form in background low density regions, such as superpositions of troughs of propagating ion-acoustic waves. This transition is found to occur at Ti/Te ≈ 0.1. The change in behavior with Ti/Te is shown to change the bulk statistical properties, scaling behavior, spectra, and field statistics of strong turbulence. For Ti/Te>rsim0.1, the electrostatic results approach the predictions of the two-component model of Robinson and Newman, and good agreement is found for Ti/Te>rsim0.15.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. ZAKHAROV EQUATIONS
  3. QUALITATIVE FEATURES OF STRONG TURBULENCE
    1. Mean energy density
    2. Maximum energy densities
    3. Density perturbations
    4. Number density of wave packets
  4. SCALING BEHAVIOR
    1. Energy density scalings
    2. Number density scalings
    3. Scalings of energy density and number density with ion speed and ion damping
  5. SPECTRA
    1. ESST
    2. EMST
  6. FIELD-STRENGTH STATISTICS
    1. ESST
    2. EMST
  7. DISCUSSION AND SUMMARY

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KEYWORDS and PACS

PACS

  • 52.35.Ra

    Plasma turbulence

  • 52.65.-y

    Plasma simulation

  • 52.35.Mw

    Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)

  • 52.35.Fp

    Electrostatic waves and oscillations (e.g., ion-acoustic waves)

  • 52.25.-b

    Plasma properties

ARTICLE DATA

PUBLICATION DATA

ISSN

1070-664X (print)  
1089-7674 (online)

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