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Title: Influence of strong self-electric fields on the ion resonance instability in a nonneutral plasma column

Abstract

The influence of strong self-electric fields on the ion resonance instability is examined for a cylindrical nonneutral plasma column immersed in a uniform axial magnetic field B/sub 0/e/sub z/. The analysis is carried out within the framework of a macroscopic cold-fluid model, and electrostatic stability properties are investigated for the case of rectangular electron and ion density profiles. The parameter delta= (2..omega../sup 2//sub p e//..omega../sup 2//sub c e/) (1-f) is introduced as a convenient measure of the relative strengths of the equilibrium self-electric force and the magnetic force on an electron fluid element. (Here, omega-circumflex/sub p e/ is the electron plasma frequency, ..omega../sub c e/ is the electron cyclotron frequency, f=n/sup 0//sub i//n/sup 0//sub e/ is the fractional charge neutralization, and delta=1 corresponds to the maximum allowed charge density for radial confinement of the equilibrium configuration.) An important conclusion of this study is that the equilibrium self-electric field can have a large influence on stability behavior. In particular, stability properties for delta9 or approx. =1 differ substantially from those obtained when deltavery-much-less-than1. Moreover, for nonneutral plasma column with significant charge neutralization, it is found that the fundamental mode (l=1) is not the most unstable mode. Rather, higher harmonic perturbations havemore » larger growth rates. However, in the limiting case where fvery-much-less-than1 and deltavery-much-less-than1, the l=1 mode can have the largest growth rate, which is consistent with the result previously obtained by Levy, Daugherty, and Buneman.« less

Authors:
;
Publication Date:
Research Org.:
Division of Magnetic Fusion Energy, Energy Research and Development Administration, Washington, D. C. 20545
OSTI Identifier:
7209544
Resource Type:
Journal Article
Journal Name:
Phys. Fluids; (United States)
Additional Journal Information:
Journal Volume: 20:11
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; EQUILIBRIUM PLASMA; ELECTRIC FIELDS; ION WAVE INSTABILITY; CYLINDRICAL CONFIGURATION; DISPERSION RELATIONS; EIGENVALUES; ELECTRON DENSITY; LANGMUIR FREQUENCY; MAGNETIC FIELD CONFIGURATIONS; PLASMA DENSITY; CONFIGURATION; INSTABILITY; PLASMA; PLASMA INSTABILITY; PLASMA MICROINSTABILITIES; 700107* - Fusion Energy- Plasma Research- Instabilities

Citation Formats

Davidson, R C, and Uhm, H. Influence of strong self-electric fields on the ion resonance instability in a nonneutral plasma column. United States: N. p., 1977. Web. doi:10.1063/1.861813.
Davidson, R C, & Uhm, H. Influence of strong self-electric fields on the ion resonance instability in a nonneutral plasma column. United States. https://doi.org/10.1063/1.861813
Davidson, R C, and Uhm, H. 1977. "Influence of strong self-electric fields on the ion resonance instability in a nonneutral plasma column". United States. https://doi.org/10.1063/1.861813.
@article{osti_7209544,
title = {Influence of strong self-electric fields on the ion resonance instability in a nonneutral plasma column},
author = {Davidson, R C and Uhm, H},
abstractNote = {The influence of strong self-electric fields on the ion resonance instability is examined for a cylindrical nonneutral plasma column immersed in a uniform axial magnetic field B/sub 0/e/sub z/. The analysis is carried out within the framework of a macroscopic cold-fluid model, and electrostatic stability properties are investigated for the case of rectangular electron and ion density profiles. The parameter delta= (2..omega../sup 2//sub p e//..omega../sup 2//sub c e/) (1-f) is introduced as a convenient measure of the relative strengths of the equilibrium self-electric force and the magnetic force on an electron fluid element. (Here, omega-circumflex/sub p e/ is the electron plasma frequency, ..omega../sub c e/ is the electron cyclotron frequency, f=n/sup 0//sub i//n/sup 0//sub e/ is the fractional charge neutralization, and delta=1 corresponds to the maximum allowed charge density for radial confinement of the equilibrium configuration.) An important conclusion of this study is that the equilibrium self-electric field can have a large influence on stability behavior. In particular, stability properties for delta9 or approx. =1 differ substantially from those obtained when deltavery-much-less-than1. Moreover, for nonneutral plasma column with significant charge neutralization, it is found that the fundamental mode (l=1) is not the most unstable mode. Rather, higher harmonic perturbations have larger growth rates. However, in the limiting case where fvery-much-less-than1 and deltavery-much-less-than1, the l=1 mode can have the largest growth rate, which is consistent with the result previously obtained by Levy, Daugherty, and Buneman.},
doi = {10.1063/1.861813},
url = {https://www.osti.gov/biblio/7209544}, journal = {Phys. Fluids; (United States)},
number = ,
volume = 20:11,
place = {United States},
year = {1977},
month = {11}
}