Grg. Raju et Jf. Liu, SIMULATION OF ELECTRICAL DISCHARGES IN GASES - NONUNIFORM ELECTRIC-FIELDS, IEEE transactions on dielectrics and electrical insulation, 2(5), 1995, pp. 1016-1041
Non-equilibrium behavior of electrons and ions in gases in an electric
field occurs in many situations such as in the cathode fall region of
a glow discharge, asymmetrical electrodes between which the Laplacian
electric field is nonuniform, in coronas and spark breakdown. This pa
per reviews various methods used to describe the non-equilibrium behav
ior of electrons and the degree of success obtained with these methods
. Non-equilibrium effects in the cathode fall region of a discharge is
treated separately. Mainly there are microscopic methods such as Mont
e Carlo simulation and Boltzmann equation analysis. Alternatively macr
oscopic methods such as the momentum transfer theory (or beam model) a
nd memory factor model are available. Also, a hybrid fluid/Monte Carlo
method is introduced as a new treatment of non-equilibrium behavior i
n high pressure and rf discharges. Future possible development in thes
e areas are commented upon.