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Self-Consistent Analysis of the Spatial Relaxation of a Disturbed Neon Glow Discharge

“…Analytical approximations (3,4) and detailed numerical studies of the spatial relaxation of electrons in one (5,6) and two dimensions (7) have shown that pronounced spatial structures may occur even if a spatially constant electric field is assumed. These structures are caused by the repeated sequence of the acceleration of electrons by the electric field and the energy loss due to inelastic collisions of electrons with the gas atoms.…”

Progress of the Electron Kinetics in Spatial and Spatiotemporal Plasma Structures

“…A similar effect is known in the literature from a light emission study in a stratified CO 2 plasma. More detailed explanations of these rather complex features of the two-dimensional relaxation kinetics can be found in the corresponding study presented in [43].…”

“…After an appropriate discretization on a three-dimensional grid for each discrete value of ε, a plane in the (r, z) subspace arises on which the equation has to be solved as a two-dimensional elliptic boundary value problem. This complex solution technique has been adapted to study the spatially two-dimensional steady-state relaxation [43] of the electron gas in the column plasma of a dc glow discharge in neon. The relaxation process is initiated at the position z = 0 by a steady-state cathode-sided influx of the electrons which is disturbed with respect to that in the corresponding axially uniform column plasma.…”

“…8c,d. Such complex particle and energy transport processes, as found in the spatially two-dimensional relaxation, can only be revealed by performing a rigorous kinetic analysis in more than one space dimension and are a direct consequence of the complex interplay of the radially retarding and axially accelerating field action, the various electron-atom collision processes and the superposition of the resultant axial and radial field and diffusion driven electron transport contributions [43].…”

Boundary conditions for the electron kinetic equation using expansion techniques

“…Here, f 0 and f r are the isotropic part and the radial contribution to the distribution anisotropy, which depend on the radial position r and the kinetic energy U of the electrons. An alternative condition fixing the radial anisotropyf r at the tube wall by an exponentially decreasing positive function g(U ) has been used in [16,17]. This condition has been taken to describe a positive current of low-energy electrons to the wall, where the shape of g(U )…”