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Ionization waves in electron-beam-assisted, shielded capillary discharge

Rutkevich1, Mond, Kaufman

  • 1Department of Mechanical Engineering, Ben-Gurion University, Beer Sheva 84105, Israel.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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A new theory explains cathode-directed ionization waves in capillaries, crucial for understanding electrical breakdown. This model reveals self-similar solutions representing fast ionization waves and plasma oscillations.

Area of Science:

  • Plasma Physics
  • Electrical Engineering
  • Wave Propagation

Background:

  • Electrical breakdown in low-pressure capillaries is initiated by electron beams from hollow cathodes.
  • The strong electric fields accelerate electrons, necessitating a full momentum equation approach.

Purpose of the Study:

  • To develop a theory for cathode-directed ionization wave propagation in early-stage electrical breakdown.
  • To model the ionization process in a shielded, low-pressure capillary discharge.

Main Methods:

  • A quasi-one-dimensional model is constructed, retaining 2D electron flow and boundary conditions.
  • A set of 1D, time-dependent partial differential equations is derived.
  • Self-similar solutions are found and numerically solved using ordinary differential equations.

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Main Results:

  • The model admits self-similar solutions representing ionization waves propagating at constant velocities.
  • Solutions describe ionization growth, virtual anode propagation, and fast ionization waves.
  • Space-charge distributions manifest as plasma oscillations with increasing frequency and solitary envelopes.

Conclusions:

  • The developed theory accurately describes fast ionization waves in plasma waveguides.
  • Calculated wave velocities correlate positively with gas pressure, aligning with experimental data.
  • The study provides insights into the fundamental physics of electrical breakdown and plasma wave phenomena.