Three species onedimensional kinetic model for weakly ionized plasmas
Abstract
A three species onedimensional kinetic model is presented for a spatially homogeneous weakly ionized plasma subjected to the action of a time varying electric field. Planar geometry is assumed, which means that the plasma evolves in the privileged direction of the field. The energy transmitted to the electric charges is channelized to the neutrals thanks to collisions, a mechanism that influences the plasma dynamics. Chargecharge interactions have been designed as a onedimensional collision term equivalent to the Landau operator used for fully ionized plasmas. Chargeneutral collisions are modelled by a conservative driftdiffusion operator in the Dougherty's form. The resulting set of coupled integrodifferential equations is solved with the stable and robust propagator integral method. This semi–analytical method feasibility accounts for non–linear effects without appealing to linearisation or simplifications, providing conservative physically meaningful solutions even for initial or emerging sharp velocity distribution function profiles. It is found that chargeneutral collisions exert a significant effect since a quite different plasma evolution arises if compared to the collisionless limit. In addition, substantial differences in the system motion are found for constant and temperature dependent collision frequencies cases.
 Authors:
 Department of Applied Physics, Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, 28040 Madrid (Spain)
 Publication Date:
 OSTI Identifier:
 22598988
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; APPEALS; COLLISIONS; COMPARATIVE EVALUATIONS; DISTRIBUTION FUNCTIONS; ELECTRIC CHARGES; ELECTRIC FIELDS; GEOMETRY; INTEGRODIFFERENTIAL EQUATIONS; LANDAU DAMPING; NONLINEAR PROBLEMS; ONEDIMENSIONAL CALCULATIONS; PLASMA; SOLUTIONS; TEMPERATURE DEPENDENCE
Citation Formats
Gonzalez, J., Email: jorge.gonzalez@upm.es, Donoso, J. M., and Tierno, S. P. Three species onedimensional kinetic model for weakly ionized plasmas. United States: N. p., 2016.
Web. doi:10.1063/1.4953901.
Gonzalez, J., Email: jorge.gonzalez@upm.es, Donoso, J. M., & Tierno, S. P. Three species onedimensional kinetic model for weakly ionized plasmas. United States. doi:10.1063/1.4953901.
Gonzalez, J., Email: jorge.gonzalez@upm.es, Donoso, J. M., and Tierno, S. P. 2016.
"Three species onedimensional kinetic model for weakly ionized plasmas". United States.
doi:10.1063/1.4953901.
@article{osti_22598988,
title = {Three species onedimensional kinetic model for weakly ionized plasmas},
author = {Gonzalez, J., Email: jorge.gonzalez@upm.es and Donoso, J. M. and Tierno, S. P.},
abstractNote = {A three species onedimensional kinetic model is presented for a spatially homogeneous weakly ionized plasma subjected to the action of a time varying electric field. Planar geometry is assumed, which means that the plasma evolves in the privileged direction of the field. The energy transmitted to the electric charges is channelized to the neutrals thanks to collisions, a mechanism that influences the plasma dynamics. Chargecharge interactions have been designed as a onedimensional collision term equivalent to the Landau operator used for fully ionized plasmas. Chargeneutral collisions are modelled by a conservative driftdiffusion operator in the Dougherty's form. The resulting set of coupled integrodifferential equations is solved with the stable and robust propagator integral method. This semi–analytical method feasibility accounts for non–linear effects without appealing to linearisation or simplifications, providing conservative physically meaningful solutions even for initial or emerging sharp velocity distribution function profiles. It is found that chargeneutral collisions exert a significant effect since a quite different plasma evolution arises if compared to the collisionless limit. In addition, substantial differences in the system motion are found for constant and temperature dependent collision frequencies cases.},
doi = {10.1063/1.4953901},
journal = {Physics of Plasmas},
number = 6,
volume = 23,
place = {United States},
year = 2016,
month = 6
}

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