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Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2002

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.

Dates and versions

in2p3-00086122 , version 1 (18-07-2006)

Identifiers

Cite

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