Eur. Phys. J. D 59, 241-247 (2010)
https://doi.org/10.1140/epjd/e2010-00165-9

Non-local model of hollow cathode and glow discharge

Theory calculations and experiment comparison

Kyiv National Taras Shevchenko University, Kiev, Ukraine

Corresponding author: ^a vvgorin@mail.ru

Received: 22 February 2010
Revised: 7 April 2010
Published online: 18 June 2010

Abstract

A general form of the non-local equation for an ionization source in glow discharge and hollow cathode 3D-simulation is formulated. It is a fundamental equation in hollow cathode theory, which allows formulation of a complete set of field equations for a self-consistent problem in a stationary glow discharge and hollow cathode. It enables us to describe the region of negative glow and the hollow cathode effect and compare calculation results of electrical dependencies (pressure-voltage) with experimental data, – under conditions of gradual appearance of the hollow cathode effect.