Instability conditions for some periodic BGK waves in the Vlasov-Poisson system
Stephen Pankavich, Robert Allen
TL;DR
This paper investigates the stability of periodic BGK waves in the Vlasov-Poisson system, establishing conditions for their linear instability and showing they cannot have monotonically decreasing particle distributions.
Contribution
It provides new sufficient conditions for the linear instability of BGK waves and demonstrates limitations on their particle distribution functions.
Findings
Identified conditions leading to linear instability of BGK waves
Proved that such solutions cannot have monotonically decreasing distributions
Enhanced understanding of plasma wave stability in the Vlasov-Poisson system
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.