Instability conditions for some periodic BGK waves in the Vlasov-Poisson system
Analysis of PDEs
2016-04-18 v1
Abstract
A one-dimensional, collisionless plasma given by the Vlasov-Poisson system is considered and the stability properties of periodic steady state solutions known as Bernstein-Greene-Kruskal (BGK) waves are investigated. Sufficient conditions are determined under which BGK waves are linearly unstable under perturbations that share the same period as the equilibria. It is also shown that such solutions cannot support a monotonically decreasing particle distribution function.
Keywords
Cite
@article{arxiv.1508.07619,
title = {Instability conditions for some periodic BGK waves in the Vlasov-Poisson system},
author = {Stephen Pankavich and Robert Allen},
journal= {arXiv preprint arXiv:1508.07619},
year = {2016}
}
Comments
8 pages; PACS codes 52.25.Dg, 02.30.Jr, 52.35.-g