@phdthesis{Gnybida2010,
  author    = {Mykhaylo Gnybida},
  title     = {Theoretical studies of the constriction of rare-gas glow discharge plasmas},
  journal    = {Theoretische Untersuchungen der Kontraktion von Edelgas-Glimmentladungsplasmen},
  url       = {https://nbn-resolving.org/urn:nbn:de:gbv:9-000847-7},
  year      = {2010},
  abstract  = {In the present work, a time- and radial-dependent fluid model has been developed to describe the glow-to-arc transition of the positive column in the course of constriction. The self-consistent model comprises the particle balance equations for the relevant species, the balance equation of the mean electron energy and the heavy particle temperature in the plasma, the Poisson equation for the space-charge potential, and a current balance determining the axial electric field. The model adopts the nonlocal moment method, i.e., the system of the balance equations resulting from the moments of the radially dependent Boltzmann equation is solved. The electron transport and rate coefficients are adapted as functions of the mean energy of the electrons, the gas temperature and the ionization degree. The model is applied to a description of the constriction of the dc positive column in argon, for a wide range of pressures and applied currents. Pronounced nonlocal features of the mean electron energy balance are found and their influence on the constricted argon positive column is analyzed. Different assumptions concerning the electron velocity distribution function (EVDF) have been considered in the present model. The assumption of a Maxwellian distribution for the electrons was found to be inappropriate, while the assumption of a Druyvesteyn distribution for the electrons was found to be suitable for describing qualitatively the glow-to-arc transition. However, the standard model using the EVDF obtained from the solution of the steady-state, spatially homogeneous electron Boltzmann equation including electron-electron collisions allows to describe the constriction effect and provides best agreement with experimental data and other available modelling results. The fluid model has also been used to study a medium-pressure pulsed positive column in xenon at conditions of the contracted discharge. The simulation results provide a detailed insight in the physical mechanisms of xenon discharges in pulsed mode. The stepwise ionization of the excited atoms, the conversion of the atomic ions into molecular ions as well as the dissociative recombination of the molecular ions are found to be the most important processes for the pulsed positive column in xenon plasmas at conditions of the contracted discharge. The comparison of the model predictions with experimental results generally shows good agreement. In particular, the model predictions are suitable for qualitative reproduction of the significant increase of low-lying atomic levels densities as well as of the higher and of the relaxed lowest vibrational states of the Xe2* excimers in the afterglow phase of the pulse.},
  language  = {en}
}