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On the formation of electron velocity distribution functions in striation-like fields

Peculiarities of the formation of electron distribution functions in spatially periodic striation-like fields in a neon dc glow discharge are analysed on the basis of an accurate solution of the Boltzmann kinetic equation, taking into account elastic and inelastic collisions, as well as spatial gradients. Mean axial electric fields and striation lengths are measured in a wide range of pressures. The transition from the local formation of electron distribution function through the weakly nonlocal case at advanced pressures to the distinctly nonlocal formation at low pressures is demonstrated. The phase shifts between the electron density and rates of excitation and ionization due to nonlocal effects and finiteness of the lifetime of excited atoms are illustrated. Comparison between numerical and approximate analytical solutions is performed for the limiting cases of low and advanced pressures, when the kinetic equation can be solved analytically by means of the small parameter expansion.