Phys. Rev. E 64, 026413 (2001) [8 pages]Nyquist method for Wigner-Poisson quantum plasmasReceived 17 January 2001; revised 16 April 2001; published 25 July 2001 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. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.026413
DOI:
10.1103/PhysRevE.64.026413
PACS:
52.30.-q, 52.35.-g, 52.90.+z, 05.60.Gg
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.