Quasi-neutral vlasov stability

Michael K.H. Kiessling, Torsten Krallmann

Research output: Contribution to journalArticlepeer-review


The Vlasov stability principle of Schindler-Pfirsch-Wobig operates with an implicitly defined functional V(a) = W(a, φ [a]) where W(a, φ) is given explicitly, but φ[a] is the solution of a perturbed Poisson equation that relates the perturbation of the electric potential, φ, to that of the flux function, a. Furthermore, in W the stationary and perturbed quantities are interwoven in a complicated manner. Here, using an operator formalism, we separate stationary and perturbed quantities. Then, in the quasi-neutral approximation, we construct the general solution φq[a] of the quasi-neutrality condition and arrive at an explicit formula for Vq(a).

Original languageEnglish (US)
Pages (from-to)20-25
Number of pages6
JournalPhysica Scripta T
StatePublished - 1997

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics


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