Analysis and simulation for a model of electron impact excitation/deexcitation and ionization/recombination

Yan, Bokai; Barekat, Farzin; Cambier, Jean-Luc

doi:10.1016/J.JCP.2015.07.027

Title: Analysis and simulation for a model of electron impact excitation/deexcitation and ionization/recombination

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Abstract

This paper describes a kinetic model and a corresponding Monte Carlo simulation method for excitation/deexcitation and ionization/recombination by electron impact in a plasma free of external fields. The atoms and ions in the plasma are represented by continuum densities and the electrons by a particle distribution. A Boltzmann-type equation is formulated and a corresponding H-theorem is formally derived. An efficient Monte Carlo method is developed for an idealized analytic model of the excitation and ionization collision cross sections. To accelerate the simulation, the reduced rejection method and binary search method are used to overcome the singular rate in the recombination process. Numerical results are presented to demonstrate the efficiency of the method on spatially homogeneous problems. The evolution of the electron distribution function and atomic states is studied, revealing the possibility under certain circumstances of system relaxation towards stationary states that are not the equilibrium states, a potential non-ergodic behavior.

Authors:

Yan, Bokai ^[1]; Barekat, Farzin ^[1]; Cambier, Jean-Luc ^[2]

Mathematics Department, University of California at Los Angeles, Los Angeles, CA 90095-1555 (United States)
Air Force Research Laboratory, Edwards AFB, CA 93524 (United States)

Publication Date:: Thu Oct 15 00:00:00 EDT 2015

OSTI Identifier:: 22465672

Resource Type:: Journal Article

Journal Name:: Journal of Computational Physics

Additional Journal Information:: Journal Volume: 299; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9991

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; ATOMS; BOLTZMANN EQUATION; COMPUTERIZED SIMULATION; CROSS SECTIONS; DE-EXCITATION; DISTRIBUTION FUNCTIONS; ELECTRONS; EXCITATION; H THEOREM; IONIZATION; IONS; MONTE CARLO METHOD; PLASMA; REACTION KINETICS; RECOMBINATION; RELAXATION

Citation Formats


                    Yan, Bokai, Caflisch, Russel E., E-mail: caflisch@math.ucla.edu, Barekat, Farzin, and Cambier, Jean-Luc. Analysis and simulation for a model of electron impact excitation/deexcitation and ionization/recombination.  United States: N. p., 2015. 
        Web.  doi:10.1016/J.JCP.2015.07.027.

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                    Yan, Bokai, Caflisch, Russel E., E-mail: caflisch@math.ucla.edu, Barekat, Farzin, & Cambier, Jean-Luc. Analysis and simulation for a model of electron impact excitation/deexcitation and ionization/recombination.  United States.  https://doi.org/10.1016/J.JCP.2015.07.027

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                    Yan, Bokai, Caflisch, Russel E., E-mail: caflisch@math.ucla.edu, Barekat, Farzin, and Cambier, Jean-Luc. 2015.  
        "Analysis and simulation for a model of electron impact excitation/deexcitation and ionization/recombination".  United States.  https://doi.org/10.1016/J.JCP.2015.07.027.

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@article{osti_22465672,

  title        = {Analysis and simulation for a model of electron impact excitation/deexcitation and ionization/recombination},

  author       = {Yan, Bokai and Caflisch, Russel E., E-mail: caflisch@math.ucla.edu and Barekat, Farzin and Cambier, Jean-Luc},

  abstractNote = {This paper describes a kinetic model and a corresponding Monte Carlo simulation method for excitation/deexcitation and ionization/recombination by electron impact in a plasma free of external fields. The atoms and ions in the plasma are represented by continuum densities and the electrons by a particle distribution. A Boltzmann-type equation is formulated and a corresponding H-theorem is formally derived. An efficient Monte Carlo method is developed for an idealized analytic model of the excitation and ionization collision cross sections. To accelerate the simulation, the reduced rejection method and binary search method are used to overcome the singular rate in the recombination process. Numerical results are presented to demonstrate the efficiency of the method on spatially homogeneous problems. The evolution of the electron distribution function and atomic states is studied, revealing the possibility under certain circumstances of system relaxation towards stationary states that are not the equilibrium states, a potential non-ergodic behavior.},

  doi          = {10.1016/J.JCP.2015.07.027},

  url          = {https://www.osti.gov/biblio/22465672},
  journal      = {Journal of Computational Physics},

  issn         = {0021-9991},

  number       = ,

  volume       = 299,

  place        = {United States},

  year         = {Thu Oct 15 00:00:00 EDT 2015},

  month        = {Thu Oct 15 00:00:00 EDT 2015}

}

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