A Laguerre expansion method for the field particle portion in the linearized Coulomb collision operator

Journal Article · Tue Dec 15 00:00:00 EST 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4936799· OSTI ID:22489925

Nishimura, Shin ^[1]

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1. National Institute for Fusion Science, Toki 509-5292 (Japan)

The spherical coordinates expressions of the Rosenbluth potentials are applied to the field particle portion in the linearized Coulomb collision operator. The Sonine (generalized Laguerre) polynomial expansion formulas for this operator allowing general field particles' velocity distributions are derived. An important application area of these formulas is the study of flows of thermalized particles in NBI-heated or burning plasmas since the energy space structure of the fast ions' slowing down velocity distribution cannot be expressed by usual orthogonal polynomial expansions, and since the Galilean invariant property and the momentum conservation of the collision must be distinguished there.

• OSTI ID: 22489925
• Journal Information: Physics of Plasmas, Vol. 22, Issue 12; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COULOMB SCATTERING
IONS
LAGUERRE POLYNOMIALS
PARTICLES
PLASMA
POTENTIALS
SLOWING-DOWN
SPHERICAL CONFIGURATION
VELOCITY