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Title: Stratification of discharge in noble gases from the viewpoint of the discrete dynamics

Based on the analysis of electron phase trajectories in sinusoidal electric fields, a new point of view on discharge stratification is proposed. It is shown that the positive column can be considered as a spatial resonator in which electric fields with a fundamental period length L{sub S} or higher mode length q/p L{sub S} establish, where p and q are integers and p > q. The fundamental mode length L{sub S} is equivalent to the distance on which electrons gain energy equal to the lowest excitation threshold. This distance determines a length of the S-striation. Unlike kinetic theory, in the presented model resonance properties of the discharge column are not connected with elastic collision energy losses. A point map is used to obtain the resonance trajectories of electrons in the phase plane. Stable points for the positions of inelastic collisions in the resonance trajectories have been found at the positions of field maxima in the case of integer ratios p/q . For non-integer ratios p/q , multiple resonance trajectories arise according to a more complex stability criterion. From this point of view, S-, P-, and R-striations in noble gas discharges can be explained. Due to energy losses in elastic collisions, initial electronmore » energy distribution functions converge to the resonance trajectories (the so-called “bunch effect”). The findings of the discrete model agree with results of kinetic theory and experiment. The new approach avoids difficulties of the kinetic theory in the case of exceptionally large relaxation lengths which can even exceed the positive column length.« less
Authors:
;  [1] ;  [2] ;  [3]
  1. Institute of Physics, St. Petersburg State University, Ulyanovskaya St. 3, 198504 St. Petersburg (Russian Federation)
  2. INP Greifswald, Felix-Hausdorf-Str. 2, 17489 Greifswald (Germany)
  3. Ukhta Industrial State University, Senjukova St. 13, 163700 Ukhta (Russian Federation)
Publication Date:
OSTI Identifier:
22408178
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 3; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; DISTANCE; DISTRIBUTION FUNCTIONS; ELECTRIC DISCHARGES; ELECTRIC FIELDS; ELECTRONS; ENERGY LOSSES; ENERGY SPECTRA; EXCITATION; INELASTIC SCATTERING; POSITIVE COLUMN; RARE GASES; RELAXATION; RESONANCE; STRATIFICATION; STRIATIONS; TRAJECTORIES