dorsal/arxiv
View SchemaNyquist method for Wigner-Poisson quantum plasmas
| Authors | F. Haas, G. Manfredi, J. Goedert |
|---|---|
| Categories | |
| ArXiv ID | physics/0211076 |
| URL | https://arxiv.org/abs/physics/0211076 |
| DOI | 10.1103/PhysRevE.64.026413 |
| Journal | Phys. Rev. E v. 64 (2001) 026413-026420 |
Abstract
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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"abstract": "By means of the Nyquist method, we investigate the linear stability of\nelectrostatic waves in homogeneous equilibria of quantum plasmas described by\nthe Wigner-Poisson system. We show that, unlike the classical Vlasov-Poisson\nsystem, the Wigner-Poisson case does not necessarily possess a Penrose\nfunctional determining its linear stability properties. The Nyquist method is\nthen applied to a two-stream distribution, for which we obtain an exact,\nnecessary and sufficient condition for linear stability, as well as to a\nbump-in-tail equilibrium.",
"arxiv_id": "physics/0211076",
"authors": [
"F. Haas",
"G. Manfredi",
"J. Goedert"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1103/PhysRevE.64.026413",
"journal_ref": "Phys. Rev. E v. 64 (2001) 026413-026420",
"title": "Nyquist method for Wigner-Poisson quantum plasmas",
"url": "https://arxiv.org/abs/physics/0211076"
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