One-Dimensional Model of the Debye Layer
near a Dielectric Surface

A. I. Morozov* and V. V. Savel’ev**

*Nuclear Fusion Institute, Russian Research Centre Kurchatov Institute, pl. Kurchatova 1, Moscow, 123182 Russia

**Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia

Received February 19, 2002; in final form, July 17, 2002

Abstract—A study is made of the processes occurring in a low-density plasma near a dielectric wall. A one-
dimensional non-steady-state model of the electron dynamics is constructed that takes into account secondary
electron emission. The Vlasov–Poisson equations are solved numerically. According to the results obtained, the
steady-state potential distribution that forms at a low temperature of the incident electrons gives rise to a wall
layer whose characteristic thickness is about several Debye lengths and in which the electrons are decelerated.
In this case, the electron density is lowest near the wall. The situation in which the temperature of the incident
electrons is high is far more complicated: the solution is quasi-periodic in character and the electron density
near the wall is the highest. © 2002 MAIK “Nauka/Interperiodica”.

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