Hypergeometric function representation of transport coefficients for drifting bi-Maxwellian plasmas
Hypergeometric function representation of transport coefficients for drifting bi-Maxwellian plasmas
Date
2017-12-08
Authors
Jubeh, Walaa’ Najeeb
Barghouthi, Imad Ahmad
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Physics
Abstract
We derive the momentum, parallel energy, and perpendicular energy collisional transport
coefficients for drifting bi-Maxwellian plasmas by using the Boltzmann collision integral approach
and present them in the form of triple hypergeometric functions. In the derivation, we write the drift
velocity u of the bi-Maxwellian plasma in terms of parallel and perpendicular components (i.e.,
u ¼ uk þu?), parallel and perpendicular with respect to the ambient magnetic field, and we consider
the Coulomb collision interactions. We consider two special cases: first, when the drift velocity
is parallel to the ambient magnetic field (i.e., u ¼uk), and second, when the drift velocity is
perpendicular to the ambient magnetic field (i.e., u ¼u?). For the first case, the transport equations
and consequently the transport coefficients are derived and presented in the form of double hypergeometric
functions; these results are consistent with the findings of Hellinger and Tr avn ıcˇek
[Phys. Plasmas 16(5), 054501 (2009)]. For the second case, the transport coefficients are obtained
and found to be in the form of double hypergeometric functions. When we combine these two special
cases, i.e., for general u, the transport coefficients are shown to be in the form of triple hypergeometric
functions. Also, we investigate the above problem by using another approach, i.e.,
Fokker Planck approximation. We obtain similar results for both approaches.
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Citation
TY - JOUR AU - Aljubeh, wal'a AU - Barghouthi, Imad PY - 2017/12/01 SP - 122104 T1 - Hypergeometric function representation of transport coefficients for drifting bi-Maxwellian plasmas VL - 24 DO - 10.1063/1.5000937 JO - Physics of Plasmas ER -