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Author Gilardini, A. L.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PLASMA PHYSICS AND FUSION TECHNOLOGY ♦ PLASMA INSTABILITY ♦ PARAMETRIC ANALYSIS ♦ CONTROL ♦ CYLINDRICAL CONFIGURATION ♦ DIFFERENTIAL EQUATIONS ♦ DIFFUSION ♦ EIGENVALUES ♦ ELECTRIC DISCHARGES ♦ ELECTRON DENSITY ♦ ELECTRONS ♦ IONIZATION ♦ MATHEMATICAL MODELS ♦ NUMERICAL ANALYSIS ♦ PERTURBATION THEORY ♦ CONFIGURATION ♦ ELEMENTARY PARTICLES ♦ EQUATIONS ♦ FERMIONS ♦ INSTABILITY ♦ LEPTONS ♦ MATHEMATICS ♦ Fusion Energy- Plasma Research- Instabilities
Abstract The case of a cylindrical diffusion-controlled plasma column with electron production rates linear and quadratic in electron density is discussed. The amount of plasma constriction is evaluated numerically as a function of an appropriate parameter related to the discharge current. The onset of plasma instability due to the presence of the quadratic electron production term is studied by the perturbation method, which leads to a homogeneous differential equation having eigenvalue solutions. A stabilizing resistance is placed in between the voltage supply and the plasma; the eigenvalues then provide, for given plasma parameters, the minimum ratio for stability of this outer resistance to the plasma resistance. The proper variables of the problem are defined, and numerically computed values of the instability limits, in particular the minimum resistance ratio for a neon plasma, are given and discussed.
Educational Use Research
Learning Resource Type Article
Publisher Date 1980-10-01
Publisher Department Selenia Research Department, Rome 00131, Italy
Publisher Place United States
Journal J. Appl. Phys.
Volume Number 51
Issue Number 10
Organization Selenia Research Department, Rome 00131, Italy


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