Bifurcations and chaos in a current-carrying ion sheath | Zendy

A. Komori | Zendy; Mitsuo Kono | Zendy; Tetsurou Norimine | Zendy; Yoshinobu Kawai | Zendy

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Bifurcations and chaos in a current-carrying ion sheath

Author(s) -

A. Komori,

Mitsuo Kono,

Tetsurou Norimine,

Yoshinobu Kawai

Publication year - 1992

Publication title -

physics of fluids b plasma physics

Language(s) - English

Resource type - Journals

eISSN - 2163-503X

pISSN - 0899-8221

DOI - 10.1063/1.860365

Subject(s) - bifurcation , physics , current (fluid) , chaotic , oscillation (cell signaling) , langmuir probe , plasma , ion , fractal , cascade , diode , space charge , differential equation , mechanics , atomic physics , electron , nonlinear system , mathematical analysis , chemistry , mathematics , plasma diagnostics , quantum mechanics , computer science , thermodynamics , biochemistry , chromatography , artificial intelligence

Cascading bifurcations to chaos are investigated experimentally and theoretically in a current-carrying stable plasma. A dc plasma current is required to produce an electron-depleted thick sheath on a grid, which obeys the Child Langmuir law of space-charge-limited current in a diode. Bifurcation cascade and chaotic behavior are exhibited when an external periodic oscillation is applied to the grid, and are in good agreement for the first time with a theory, which describes ion dynamics in the Child Langmuir sheath and is represented by the differential equation with three independent variables. A fractal dimension predicted by the theory is verified by the experiment

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