Phase-space structures in quantum-plasma wave turbulence

F. Haas, Bengt Eliasson, P.K. Shukla, G. Manfredi

Research output: Contribution to journalArticle

11 Citations (Scopus)


The quasilinear theory of the Wigner-Poisson system in one spatial dimension is examined. Conservation laws and properties of the stationary solutions are determined. Quantum effects are shown to manifest themselves in transient periodic oscillations of the averaged Wigner function in velocity space. The quantum quasilinear theory is checked against numerical simulations of the bump-on-tail and two-stream instabilities. The predicted wavelength of the oscillations in velocity space agrees well with the numerical results.
Original languageEnglish
Pages (from-to)056407-056407
Number of pages0
JournalPhysical Review E
Issue number5
Publication statusPublished - Nov 2008



  • quantum-plasma wave turbulence
  • quasilinear
  • Wigner-Poisson

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