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Fundamental Electron and Potential Relations in Dilute Plasma Flows. (arXiv:2311.08423v2 [physics.plasm-ph] UPDATED)

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In this short note, we present some work on investigating electron
temperatures and potentials in steady or unsteady dilute plasma flows. The
analysis is based on the detailed fluid model for electrons. Ionization,
normalized electron number density gradients, and magnetic fields are
neglected. The transport properties are assumed as local constants. With these
treatments, the partial differential equation for electron temperature
degenerates as an ordinary differential equation. Along an electron streamline,
fundamental formulas for electron temperature and plasma potential are
obtained. These formulas offer significant insights, 1). for steady flow, the
electron temperature and plasma potential distributions along an electron
streamline include two exponential functions, and the one for plasma potential
includes an extra linear distribution function; 2). for unsteady flows, both
the temporal and spatical parts include potential functions.

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