A solution method of slowing-down distribution of energetic particles in tokamaks

The eigen equation of pitch-angle distribution derived from the slowing-down distribution equation with an energetic particle source term is solved by using the Legendre series expansion method. An iteration matrix is established when pitch-angle scattering terms become important. The whole pitch-an...

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Bibliographic Details
Published in:Physics of plasmas 2023-04, Vol.30 (4)
Main Authors: Dai, Yongzhi, Cao, Jinjia, Xiang, Dong, Yang, Junhui
Format: Article
Language:English
Subjects:
Beam injection
Distribution functions
Energetic particles
Kinetic equations
Neutral beams
Pitch (inclination)
Plasma physics
Scattering
Series expansion
Tokamak devices
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Summary:The eigen equation of pitch-angle distribution derived from the slowing-down distribution equation with an energetic particle source term is solved by using the Legendre series expansion method. An iteration matrix is established when pitch-angle scattering terms become important. The whole pitch-angle region is separated into three parts, two passing regions, and one trapped area. The slowing-down distribution for each region is finally obtained. The method is applied to solve the slowing-down equations with source terms that the pitch-angle distribution is Maxwellian-like, neutral beam injection, and radial drifts. The distribution functions are convergent for each source with different pitch-angle distribution. The method is suitable for solving a kinetic equation that pitch-angle scattering collision is important.
ISSN:1070-664X
1089-7674
DOI:10.1063/5.0123241