Hopf bifurcations in balance equations of glow discharges

Journal Article · Fri Aug 01 04:00:00 EDT 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.56.2118· OSTI ID:528029

Koch, B; Goepp, N; Bruhn, B ^[1]

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1. Institut fuer Physik, Ernst-Moritz-Arndt-Universitaet Greifswald, Domstrasse 10a, 17487 Greifswald (Germany)

Starting from the hydrodynamic equations describing the positive column of glow discharges in inert gases, the instability of the axially homogeneous state is investigated. Dirichlet boundary conditions at the ends of the positive column are chosen. Stimulated by experiments, the influence of metastable atoms and of the outer circuit is taken into consideration by additional equations. Center manifold and normal form theories are used to characterize the codimension-one bifurcations. Depending on the current, the length of the positive column and the resistance of the outer circuit supercritical and subcritical Hopf bifurcations are found. The importance of the results with respect to the experiments on the ionization instability in a neon discharge is discussed. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 528029
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 2 Vol. 56; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BIFURCATION
BOUNDARY CONDITIONS
DIRICHLET PROBLEM
GLOW DISCHARGES
HYDRODYNAMICS
IONIZATION
NEON
PLASMA INSTABILITY
POSITIVE COLUMN