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Stability properties of a cylindrical rotating *P*‐layer immersed in a uniform background plasma

### Abstract

The electrostatic stability properties of a rotating, charge‐neutralized *P*‐layer are investigated within the framework of a hybrid (Vlasov‐fluid) model in which the layer ions are described by the Vlasov equation, and the layer electrons and the uniform background plasma are described as macroscopic, cold fluids. It is assumed that the *P* layer is thin, with radial thickness (2*a*) much smaller than the mean radius (*R* _{0}), and that ν≪1, where ν is Budker’s parameter for the layer ions. Electrostatic stability properties are calculated for perturbations about a weakly diamagnetic *P* layer with rectangular density profile, described by the equilibrium distribution function *f* ^{0} _{ b }= (*n* _{ b } *R* _{0}/2π*m* _{ i }) δ[*H*−*V* _{ z } *P* _{ z }−*m* _{ i } (*V* ^{2} _{0}−*V* ^{2} _{ z })/2]δ (*P* _{ϑ}−*P* _{0}), where *H* is the energy, *P* _{ϑ} is the canonical angular momentum, *P* _{ z } is the axial canonical momentum, and *n* _{ b }, *R* _{0}, *V* _{ z }, *V* _{0}, and *P* _{0} are constants. The stability analysis is carried out including the effects of a uniform background plasma, and weak self‐magnetic fields. Although a slow rotational *P* layer (*P* _{0}≳0) is found to be stable, it is shown that a fast rotational *P*‐layer (*P* _{0}<0) is unstable for sufficiently high background plasma density (ω^{2} _{ p }≫ω^{2} _{ c i }). The typical instability growth rate is a substantial fraction of the ion cyclotron frequency.

© 1979 American Institute of Physics

Published online 06 August 2008

/content/aip/journal/pof1/22/4/10.1063/1.862652

http://aip.metastore.ingenta.com/content/aip/journal/pof1/22/4/10.1063/1.862652

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/content/aip/journal/pof1/22/4/10.1063/1.862652

2008-08-06

2016-10-24

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