Quasi-neutral vlasov stability

TY - JOUR

T1 - Quasi-neutral vlasov stability

AU - Kiessling, Michael K.H.

AU - Krallmann, Torsten

PY - 1997

Y1 - 1997

N2 - 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).

AB - 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).

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M3 - Article

SN - 0281-1847

VL - 74

SP - 20

EP - 25

JO - Physica Scripta T

JF - Physica Scripta T

ER -