Nyquist method for Wigner-Poisson quantum plasmas

Details Nyquist method for Wigner-Poisson quantum plasmas Nyquist method for Wigner-Poisson quantum plasmas

2002-11-17

arxiv.org/abs/physics/0211076v1

Phys. Rev. E v. 64 (2001) 026413-026420

Physics

Plasma Physics

6 figures

Scientific paper

10.1103/PhysRevE.64.026413

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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