## Abstract

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 φ_{q}[a] of the quasi-neutrality condition and arrive at an explicit formula for V_{q}(a).

Original language | English (US) |
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Pages (from-to) | 20-25 |

Number of pages | 6 |

Journal | Physica Scripta T |

Volume | 74 |

State | Published - Dec 1 1997 |

## All Science Journal Classification (ASJC) codes

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