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A multistream model for quantum plasmas

Abstract : The dynamics of a quantum plasma can be described self-consistently by the nonlinear Schroedinger-Poisson system. Here, we consider a multistream model representing a statistical mixture of N pure states, each described by a wavefunction. The one-stream and two-stream cases are investigated. We derive the dispersion relation for the two-stream instability and show that a new, purely quantum, branch appears. Numerical simulations of the complete Schroedinger-Poisson system confirm the linear analysis, and provide further results in the strongly nonlinear regime. The stationary states of the Schroedinger-Poisson system are also investigated. These can be viewed as the quantum mechanical counterpart of the classical Bernstein-Greene-Kruskal modes, and are described by a set of coupled nonlinear differential equations for the electrostatic potential and the stream amplitudes.
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Submitted on : Tuesday, July 18, 2006 - 9:40:32 AM
Last modification on : Wednesday, April 27, 2022 - 3:48:27 AM

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F. Haas, G. Manfredi, M. Feix. A multistream model for quantum plasmas. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2002, 62, pp.2763-2772. ⟨10.1103/PhysRevE.62.2763⟩. ⟨in2p3-00086122⟩

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