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PhysRevE.93.042207.pdf | 403.49 kB | Adobe PDF | 見る/開く |
タイトル: | Trapping scaling for bifurcations in the Vlasov systems |
著者: | Barré, J. Métivier, D. Yamaguchi, Y. Y. |
著者名の別形: | 山口, 義幸 |
発行日: | 14-Apr-2016 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review E |
巻: | 93 |
号: | 4 |
論文番号: | 042207 |
抄録: | 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. |
著作権等: | ©2016 American Physical Society |
URI: | http://hdl.handle.net/2433/210248 |
DOI(出版社版): | 10.1103/PhysRevE.93.042207 |
PubMed ID: | 27176293 |
出現コレクション: | 学術雑誌掲載論文等 |
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