In this paper the different methods that are available to describe the
kinetics of electrons in uniform and non-uniform electric fields unde
r stationary conditions are reviewed. The efficiency of these methods
is systematically investigated. Numerical results are given for atomic
and molecular gases and the importance of the non-equilibrium of elec
trons is emphasized. The first part of this study is devoted to plane-
parallel geometries, the second part to wire-cylindrical geometries. I
n the latter case, non-equilibrium effects, in electron avalanche ampl
ification, due to the space variation of the electrostatic field, are
evaluated with the help of experimental determinations. A technique to
take into account, in a simplified manner, the non-equilibrium of ele
ctrons due to electric field gradients is proposed.