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Phys. Rev. E 64, 026413 (2001) [8 pages]

Nyquist method for Wigner-Poisson quantum plasmas

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F. Haas *
Laboratório Nacional de Computação Científica – LNCC, Avenue Getúlio Vargas, 333 25651-07 Petrópolis, Rio de Janeiro, Brazil

G. Manfredi †
Laboratoire de Physique des Milieux Ionisés, Université Henri Poincaré, Boîte Postale 239, 54506 Vandoeuvre-les-Nancy, France

J. Goedert ‡
Centro de Ciências Exatas e Tecnológicas – UNISINOS, Avenue Unisinos, 950 93022-000 São Leopoldo, Rio de Grande do Sul, Brazil

Received 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

* Email address: ferhaas@lncc.br
† Email address: giovanni.manfredi@lpmi.uhp-nancy.fr
‡ Email address: goedert@exatas.unisinos.br

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