In:
Journal of Plasma Physics, Cambridge University Press (CUP), Vol. 27, No. 1 ( 1982-02), p. 37-53
Abstract:
In this third of a series of papers on the stability of Vlasov equilibria, the dispersion functional technique developed in part 1 is applied to the multi-species Vlasov plasma and to the Vlasov-fluid model. An alternative form of the dispersion functional is derived for the Vlasov-fluid model in which magnetohydrodynamic and kinetic aspects of the problem are separated explicitly. A necessary and sufficient condition is derived for stability with the Vlasov-fluid model. Stability of the multi-species Vlasov plasma is discussed and a necessary and sufficient condition for stability near a marginal point is derived. Explicit formulae for quantities occurring in the dispersion functional are given in cylindrical co-ordinates for the Vlasov-fluid model when there is one nonignorable co-ordinate in the equilibrium. The dispersion functional for a multi-species Vlasov plasma is shown to be related to the ponderomotive Hamiltonian.
Type of Medium:
Online Resource
ISSN:
0022-3778
,
1469-7807
DOI:
10.1017/S0022377800026362
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1982
detail.hit.zdb_id:
2004297-8
