# Numerical analysis of azimuthal rotating spokes in a crossed-field discharge plasma

Source: [Numerical analysis of azimuthal rotating spokes in a crossed-field discharge plasma](<https://www.sota2.com/research/paper/68fa37661e209131ce8b1ca8>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T22:21:49.710Z

Authors: R. Kawashima, K. Hara, K. Komurasaki

Published: 2017-12-07T11:11:38.000Z

## Abstract

Low-frequency rotating spokes are obtained in a cross-field discharge plasma using two-dimensional numerical simulations. A particle-fluid hybrid model is used to model the plasma flow in a configuration similar to a Hall thruster. It has been reported that the drift-diffusion approximation for an electron fluid results in an ill-conditioned matrix when solving for the potential because of the differences in the electron mobilities across the magnetic field and in the direction of the E$\\times$B drift. In this paper, we employ a hyperbolic approach that enables stable calculation, namely, better iterative convergence of the electron fluid model. Our simulation results show a coherent rotating structure propagating in the E$\\times$B direction with a phase velocity of 2,500 m/s, which agrees with experimental data. The phase velocity obtained from the numerical simulations shows good agreement with that predicted by the dispersion relation of the gradient drift instability.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1712.02564>)

[PDF](<https://arxiv.org/pdf/1712.02564.pdf>)