Phase-space structures in quantum-plasma wave turbulence

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

doi:10.1103/PhysRevE.78.056407

Phase-space structures in quantum-plasma wave turbulence

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

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	056407-056407
Number of pages	0
Journal	Physical Review E
Volume	78
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.78.056407
Publication status	Published - Nov 2008

Keywords

quantum-plasma wave turbulence
quasilinear
Wigner-Poisson

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10.1103/PhysRevE.78.056407

Cite this

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abstract = "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.",

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AU - Shukla, P.K.

AU - Manfredi, G.

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N2 - 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.

AB - 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.

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KW - quasilinear

KW - Wigner-Poisson

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DO - 10.1103/PhysRevE.78.056407

M3 - Article

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SP - 56407

EP - 56407

JO - Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

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SN - 1539-3755

IS - 5

ER -

Phase-space structures in quantum-plasma wave turbulence

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Keywords

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