Variational radial sheath solutions for a kinetic model of a cylindrical Langmuir probe
Mehdi Badsi,
Ludovic Godard‐Cadillac
Abstract:We study qualitative and quantitative properties of the solutions of a Vlasov–Poisson system modeling the interaction between a plasma and a cylindrical Langmuir probe. In particular, we exhibit a class of radial sheath solutions for which the electrostatic potential is increasing and strictly concave with a strong variation in the vicinity of the probe which scales as the inverse of the Debye length. These solutions are proven to exist provided the incoming distributions of particles from the plasma verify th… Show more
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