Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 44, Issue 40, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/44/40/405502
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Funding
- Ministry of Educations, Science, Sports and Culture [19760052]
- [ANR-09-JCJC-009401]
- Grants-in-Aid for Scientific Research [23560069] Funding Source: KAKEN
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We investigate the asymptotic behaviour of a perturbation around a spatially non-homogeneous stable stationary state of a one-dimensional Vlasov equation. Under general hypotheses, after transient exponential Landau damping, a perturbation evolving according to the linearized Vlasov equation decays algebraically with the exponent -2 and a well-defined frequency. The theoretical results are successfully tested against numerical N-body simulations, corresponding to the full Vlasov dynamics in the large N limit, in the case of the Hamiltonian mean-field model. For this purpose, we use a weighted particles code, which allows us to reduce finite size fluctuations and to observe the asymptotic decay in the N-body simulations.
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