The development of theoretical concepts of the physics of a positive column
of a glow discharge and the present-day state of the problem are reported.
The results of the kinetic solution of the self-consistent problem are com
pared with the results of the description based on the local hydrodynamic a
pproximation. It is shown by an example of inert gases that the use of Maxw
ell-Boltzmann electron distributions over velocities and coordinates does n
ot describe the actual picture of physical processes taking place in a posi
tive column of a glow discharge.