Abstract
Several proposed renormalized theories for “strong” ion acoustic turbulence are compared to the direct interaction approximation. These are applied to the calculation of the stability of ion acoustic turbulent states to the excitation of Langmuir waves. A kinetic instability proposed by Tsytovich, Stenflo, and Wilhelmsson is shown to be stabilized by resonant and nonresonant decay processes. The global kinetic stability of the Langmuir spectrum is enhanced through the coupling of opposite phase velocity Langmuir waves by the decay processes and by nonresonant scattering to regions of strong Landau damping.
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DuBois, D.F., Pesme, D. Stability of ion acoustic turbulent states. J Stat Phys 39, 783–816 (1985). https://doi.org/10.1007/BF01008366
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DOI: https://doi.org/10.1007/BF01008366