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The relaxation of the distribution function of the electrons drifting underthe influence of a homogeneous electric field in noble gases is known to takeplace over an extended spatial domain at `intermediate' values of the reducedelectric field, $E/N$. We investigate the transport of electrons in Ar andN$_2$ gases, as well as in their mixtures at such $E/N$ values ($\sim$ 10-40Td). After discussing briefly the basic scenario of relaxation in a homogeneouselectric field, the major part of work concentrates on the properties oftransport in an electric field that is spatially modulated within a finiteregion that obeys periodic boundaries. The spatial distribution of the meanvelocity, the mean energy, and the density of the electrons, the importance ofthe excitation channels, as well as the electron energy distribution functionare obtained from Monte Carlo simulations for various lengths of thecomputational domain, at different mean values and degrees of modulation of thereduced electric field. At low modulations, the spatial profiles of the meanvelocity and mean energy are nearly harmonic, however their phases with respectto the electric field perturbation exhibit a complex behaviour as a function ofthe parameters. With increasing modulation, an increasing higher harmoniccontent of these profiles is observed and at high modulations where an electricfield reversal occurs, we observe trapping of a significant population of theelectrons. The effect of mixing a molecular gas, N$_2$, to Ar on the transportcharacteristics is also examined. Transition to local transport at high N$_2$admixture concentrations and long spatial domains is observed.

Monte Carlo simulation of resonance effects of electron transport in a spatially modulated electric field in Ar, N$_2$ and their mixtures