2016年4月
Trapping scaling for bifurcations in the Vlasov systems
PHYSICAL REVIEW E
- ,
- ,
- 巻
- 93
- 号
- 4
- 開始ページ
- 042207
- 終了ページ
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1103/PhysRevE.93.042207
- 出版者・発行元
- AMER PHYSICAL SOC
We study nonoscillating bifurcations of nonhomogeneous steady states of the Vlasov equation, a situation occurring in galactic models, or for Bernstein-Greene-Kruskal modes in plasma physics. Through an unstable manifold expansion, we show that in one spatial dimension the dynamics is very sensitive to the initial perturbation: the instability may saturate at small amplitude-generalizing the "trapping scaling" of plasma physics-or may grow to produce a large-scale modification of the system. Furthermore, resonances are strongly suppressed, leading to different phenomena with respect to the homogeneous case. These analytical findings are illustrated and extended by direct numerical simulations with a cosine interaction potential.
- リンク情報
- ID情報
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- DOI : 10.1103/PhysRevE.93.042207
- ISSN : 2470-0045
- eISSN : 2470-0053
- Web of Science ID : WOS:000373981200009