Abstract
The dynamics of ions in a plasma layer adjacent to the conducting surface of an electrically insulated negatively charged probe is studied. Exact self-consistent analytical solutions to the nonlinear system of equations of ion hydrodynamics are obtained. The solutions satisfy nonstationary boundary conditions on the probe’s surface. The intensity of the electric field and the velocity, concentration, and density of the ion current are found as functions of the initial position of a particle and the distance to the probe’s surface. The rate of change in the probe’s charge is determined and it is shown that, with time, the parameters of the system considered approach their asymptotical values. For a spherical probe, the time dependence of the ion-current density, i.e., the probe’s transient response (which is an analogue of the current—voltage characteristic of the Langmuir probe with a constant negative bias), is obtained.
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