By Uwe Kortshagen, Lev D. Tsendin
This e-book resulted from the NATO complicated examine Workshop on “Electron Kinetics and purposes of Glow Discharges,” held in St. Petersburg, Russia, on may well 19-23, 1997. Glow discharges have came across frequent purposes in lots of technological approaches from the manufacture of semiconductors, to fresh advancements in na- expertise, to the conventional fields of fuel lasers, and discharge lamps. as a result, the curiosity within the physics of glow discharges has skilled one more resurgence of curiosity. whereas the non-equilibrium personality of glow discharges is commonly approved, the opinion nonetheless prevails that the most good points will be captured via fluid versions, and that kinetic remedies are just required for the certainty of sophisticated info. The erroneousness of this trust is proven via the failure of fluid versions to explain many uncomplicated positive aspects of glow discharges resembling, for example, electrode phenomena, striations, and collisionless heating results. An sufficient description of glow discharges therefore should be of kinetic nature.
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Extra info for Electron Kinetics and Applications of Glow Discharges (NATO Science Series: B:)
Below we will use this equation to describe runaway air breakdown. It should be notified also that as the full stationary solution is not established during runaway breakdown process in initial conditions (22), the electron distribution is stretching out with time in energies, what means that the number of electrons — fast and slow is growing in time not strictly exponentially. 23, 24 4. RUNAWAY AIR BREAKDOWN Let us investigate now the problem of air breakdown, considering spherically symmetrical kinetic equation (18).
Hence the experimentally measured EDF at different spatial points has to be identical after the displacement in the energy scale on the difference of plasma potentials in the corresponding points. It has been observed in measurements 17,18 of the EDF in an RF discharge in Ar. Data of our experiments were a start point to study the applicability of different approximate methods of solving the Boltzmann equation with taking into account the EDF spatial dependence. It is worth noting that a study of EDF non-locality in molecular gases is a difficult problem due to an existence of inelastic processes with low excitation energy thresholds.
Here we will discuss the numerical solution of equation (18) with boundary conditions (21), (28) and a model ionization integral. First of all it is necessary to mention that numerical simulations justify analytical predictions about the behavior of the solution. We see (Figs. 2 and 3), that if the electric field is close to the threshold (δth ≈ 1 . 3 ) the electron density is growing up exponentially, but the exponent depends on the energy of initial beam εb . 1. Comparison with exact solution.
Electron Kinetics and Applications of Glow Discharges (NATO Science Series: B:) by Uwe Kortshagen, Lev D. Tsendin