Abstract
The two-fluid dynamics of plasmas with force free electrons under the quasi-neutral condition can be described by the one-fluid magnetohydrodynamic equations with addition of a single term, the Hall term, to the field induction equation. This algorithm is implemented in a magnetohydrodynamic particle code to represent some aspects of electron-ion plasmas in the Lagrangian framework with a fixed uniform background grid. The code sustains, for example, Alfven-ion cyclotron waves and whistler waves, as is demonstrated by the dispersion, polarization and propagation of these waves.
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