open access

https://hdl.handle.net/2115/79230

A Computational Scheme of Propagator Method for Moment Equations to Derive Real-Space Electron Transport Coefficients in Gas Under Crossed Electric and Magnetic Fields

propagator method

2018-09-06

IEEE

IEEE Transactions on Plasma Science

47(2)

1071-1082

A numerical technique to calculate real-space electron transport coefficients in gas under crossed electric and magnetic fields (E B fields) by propagator method was newly developed. Components of centroid drift velocity vector of an electron swarm and its diffusion coefficients defined in the E, B, and E B directions were calculated by applying the propagator method stepwise to the zeroth-, first-, and second-order x, y, and z spatial moment equations derived from the Boltzmann equation. The results calculated for SF6 at N = 1022 m−3 in E=N and B=N ranges of 100–1000 Td and 100–1000 Hx, respectively, agreed with those obtained by Monte Carlo simulations with discrepancies of a few percent. The Hall deflection of the drift velocity vector and the direction dependency of the diffusion coefficients were appropriately reproduced. A relaxation scheme developed for quick convergence of the electron velocity distribution function was effective also in the relaxations of the first- and second-order spatial moment distribution functions. A prototype of the propagator method as a calculation scheme to derive a set of electron transport coefficients necessary for fluid model simulations of magnetized plasmas was established.

学術雑誌論文

Accepted Manuscript

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