Non-equilibrium electron transport in gases: Influence of magnetic fields on temporal and spatial relaxation

The ability to control the temporal and spatial relaxation of electron swarms in gases through application of an orthogonal magnetic field is examined via solutions of Boltzmann's equation. Multi-term solutions of Boltzmann's equation are presented for two specific applications: temporal relaxation in the time-dependent hydrodynamic regime, and spatial relaxation in the steady state non-hydrodynamic regime. We highlight the commonality of methods and techniques for handling the velocity dependence of the phase-space distribution function as well as their point of departure for treating the spatial dependence. We present results for model and real gases highlighting the explicit influence of the magnetic field on spatial and temporal relaxation characteristics, including the existence of transiently negative diffusion coefficients.