Phase-space structures in quantum-plasma wave turbulence

Fernando Haas (1) , Bengt Eliasson (1) , P.K. Shukla (1) , Giovanni Manfredi (2, 3)

1 ITP4 - Institut für Theoretische Physik IV [Bochum]
2 IPCMS - Institut de Physique et Chimie des Matériaux de Strasbourg
3 CALVI - Scientific computation and visualization

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.

Mots clés: Wigner-Poisson; quasilinear theory; quantum plasma

Domaines: Physique des plasmas [physics.plasm-ph]

Fernando Haas, Bengt Eliasson, P.K. Shukla, Giovanni Manfredi. Phase-space structures in quantum-plasma wave turbulence. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2008, 78, pp.056407. ⟨10.1103/PhysRevE.78.056407⟩. ⟨hal-00596943⟩