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@ARTICLE{Tokar:856817,
      author       = {Tokar, Mikhail},
      title        = {{A}ccelerated procedure to solve kinetic equation for
                      neutral atoms in a hot plasma},
      journal      = {International journal of modeling, simulation, and
                      scientific computing},
      volume       = {09},
      number       = {05},
      issn         = {1793-9623},
      address      = {Singapore [u.a.]},
      publisher    = {World Scientific},
      reportid     = {FZJ-2018-06158},
      pages        = {1850048},
      year         = {2018},
      abstract     = {By reaching the first wall of a fusion reactor, charged
                      plasma particles, electrons and ions are recombined into
                      neutral molecules and atoms of hydrogen isotopes. These
                      species recycle back into the plasma volume and participate,
                      in particular, in charge–exchange (cx) collisions with
                      ions. As a result, hot atoms with chaotically directed
                      velocities are generated and some of them hit the wall.
                      Statistical Monte Carlo methods often used to model the
                      behavior of cx atoms are too time-consuming for
                      comprehensive parameter studies. Recently1 an alternative
                      iteration approach to solve one-dimensional kinetic
                      equation2 has been significantly accelerated, by a factor of
                      30–50, by applying a pass method to evaluate the arising
                      integrals from functions, involving the ion velocity
                      distribution. Here, this approach is used by solving a
                      two-dimensional kinetic equation, describing the transport
                      of cx atoms in the vicinity of an opening in the wall, e.g.,
                      the entrance of a duct guiding to a diagnostic installation.
                      To assess the erosion rate and lifetime of the installation,
                      one need to know the energy spectrum of hot cx atoms
                      escaping from the plasma into the duct. Calculations are
                      done for a first mirror of molybdenum under plasma
                      conditions expected in a fusion reactor like DEMO.3,4 The
                      results of kinetic modeling are compared with those found by
                      using a diffusion approximation5 relevant for cx atoms if
                      the time between cx collisions with ions is much smaller
                      than the time till the ionization of atoms by electrons. The
                      present more exact kinetic consideration predicts a mirror
                      erosion rate by a factor of 2 larger than the approximate
                      diffusion approach.},
      cin          = {IEK-4},
      ddc          = {004},
      cid          = {I:(DE-Juel1)IEK-4-20101013},
      pnm          = {174 - Plasma-Wall-Interaction (POF3-174)},
      pid          = {G:(DE-HGF)POF3-174},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000454060600013},
      doi          = {10.1142/S1793962318500484},
      url          = {https://juser.fz-juelich.de/record/856817},
}