Volume 76, Number 1, October 2006
|Page(s)||36 - 41|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||06 September 2006|
Influence of the space charge on the configuration of conical spikes on a liquid-metal surface
Institute of Electrophysics, UD, RAS - 106 Amundsen St., 620016 Ekaterinburg, Russia
Accepted: 11 August 2006
The influence of the space charge of ions evaporated from the surface of a conical spike that develops on a liquid-metal anode on the spike shape has been studied theoretically. A possibility of the self-similar reduction of the equations that govern the space distributions of the electric field, ion velocity field, and space charge density to a system of ordinary differential equations has been revealed. Its solution, which is compatible with the balance condition for the capillary and electrostatic forces at a free liquid surface, has allowed us to obtain the current-voltage characteristic for a liquid-metal ion source and the current dependence of the cone angle. An increase in emission current leads to a monotonic decrease of the cone angle, which agrees with the available experimental data.
PACS: 41.20.Cv – Electrostatics; Poisson and Laplace equations, boundary-value problems / 79.70.+q – Field emission, ionization, evaporation, and desorption / 61.25.Mv – Liquid metals and alloys
© EDP Sciences, 2006
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