Nyquist method for Wigner-Poisson quantum plasmas.


By means of the Nyquist method, we investigate the linear stability of electrostatic waves in homogeneous equilibria of quantum plasmas described by the Wigner-Poisson system. We show that, unlike the classical Vlasov-Poisson system, the Wigner-Poisson case does not necessarily possess a Penrose functional determining its linear stability properties. The Nyquist method is then applied to a two-stream distribution, for which we obtain an exact, necessary and sufficient condition for linear stability, as well as to a bump-in-tail equilibrium.

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@article{Haas2001NyquistMF, title={Nyquist method for Wigner-Poisson quantum plasmas.}, author={Fernando Haas and Giovanni Manfredi and Jo{\~a}o Goedert}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2001}, volume={64 2 Pt 2}, pages={026413} }