Abstract
Traditional electron swarm studies have focused on the range of conditions for which the electron transport and rate coefficients can be well-parameterized by the local value of the ratio of the electric field to the neutral density, E(r,t)/N. We have rather informally referred to this condition where the electron velocity distribution function (evdf) at any point in space or time can be defined by the local reduced field as “equilibrium with the field” or “local field equilibrium”. Over the years, and driven to a large extent by the need for accurate analyses of swarm experiments for the determination of cross sections, a rather complete theory of electron transport in weakly ionized gases has been developed (Kumar et al., 1980, 1984) subject to the condition of local field equilibrium. In its usual form, this theory involves an expansion of the space and time dependent evdf in powers of the gradient of the electron density, and it provides a computational procedure for obtaining the space-time evolution of the electron density in terms of electron transport and rate coefficients which are functions of the local value of E(r,t)/N (Kumar et al., 1980, 1984). By analogy with theories in other areas of transport phenomena, this has been referred to as “hydrodynamic” electron transport, and the terms “hydrodynamic” and “local field equilibrium” have been used synonymously.
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© 1990 Plenum Press, New York
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Pitchford, L.C., Boeuf, J.P., Ségur, P., Marode, E. (1990). Non-Equilibrium Electron Transport: A Brief Overview. In: Gallagher, J.W., Hudson, D.F., Kunhardt, E.E., Van Brunt, R.J. (eds) Nonequilibrium Effects in Ion and Electron Transport. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0661-0_1
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