A new approach for solving the problem of creation of inverse electron distribution function in glow discharges

This paper proposes a novel approach for creating an inverse electron distribution function (EDF). The results of numerical modelling and theoretical analysis are used to present reliable criteria and scaling for the evaluation of the possible inversion of the EDF under specific conditions. By solving the non-local Boltzmann kinetic equation in energy and coordinate variables, it is shown that the simplest way to implement the inversion of the EDF is a glow discharge with a hollow cathode. For such discharges, practical recommendations are developed and specific conditions for the experimental detection of an inverse EDF are identified.