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Influence of finite ion Larmor radius effects on the ion resonance instability in a nonneutral plasma column

 

作者: R. C. Davidson,   Hwan‐sup Uhm,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1978)
卷期: Volume 21, issue 1  

页码: 60-71

 

ISSN:0031-9171

 

年代: 1978

 

DOI:10.1063/1.862080

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The influence of finite ion Larmor radius effects on the ion resonance instability in a nonneutral plasma column aligned parallel to a uniform axial magnetic fieldB0eˆzis investigated. The analysis is carried out within the framework of a hybrid Vlasov‐fluid model in which the ions are described by the Vlasov equation and the electrons are described as a macroscopic, cold fluid. Electrostatic stability properties are calculated for the case in which the equilibrium electron and ion density profiles are rectangular and the ion distribution function is specified byf0i=const×&dgr; (H⊥−&ohgr;iP&Vthgr;−T⁁i)G(vz). The resulting eigenvalue equation for the perturbed electrostatic potential &fgr;⁁l(r) is solved exactly to give a closed algebraic dispersion relation for the complex eigenfrequency &ohgr;. This dispersion relation is solved numerically, and it is shown that the growth rate of the ion resonance instability exhibits a sensitive dependence on plasma parameters. For example, finite ion Larmor radius effects can have a strong stabilizing influence for azimuthal mode numbersl⩾2, particularly when the equilibrium self‐electric field is sufficiently weak. For the fundamental mode (l=1), however, stability properties are identical to those calculated from a macroscopic two‐fluid model, and the growth rate is unaffected by the value of the ion Larmor radius.

 

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