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Title: Trapping scaling for bifurcations in the Vlasov systems
Authors: Barré, J.
Métivier, D.
Yamaguchi, Y. Y.
Author's alias: 山口, 義幸
Issue Date: 14-Apr-2016
Publisher: American Physical Society
Journal title: Physical Review E
Volume: 93
Issue: 4
Thesis number: 042207
Abstract: 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.
Rights: ©2016 American Physical Society
DOI(Published Version): 10.1103/PhysRevE.93.042207
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