@article {2780,
title = {A UNIFORM WENTZEL-KRAMERS-BRILLOUIN APPROACH TO ELECTRON-TRANSPORT IN MOLECULAR GASES},
journal = {Journal of Chemical Physics},
volume = {99},
number = {10},
year = {1993},
note = {ISI Document Delivery No.: MH744Times Cited: 4Cited Reference Count: 46},
month = {Nov},
pages = {7638-7651},
type = {Article},
abstract = {The relaxation of a nonequilibrium distribution of electrons in molecular gases, and the transient and steady electron transport properties are studied with the Boltzmann equation, which accurately accounts for elastic and inelastic electron-moderator collisions. The elastic collision operator is a self-adjoint Fokker-Planck operator, whereas the-inelastic collision term is a difference operator. We consider a discretization of the inelastic collision operator which is motivated by the discrete energy losses that occur. For small energy losses, a continuous approximation is introduced such that the inelastic collision term is approximated by a Fokker-Planck operator similar to the elastic collision operator. The transient electron transport properties are studied for an initial electron distribution function in terms of the eigenvalue spectrum of both the elastic and inelastic collision operators. The Fokker-Planck eigenvalue problem is transformed into a Schrodinger equation and the nature of the spectrum is studied in terms of the Wentzel-Kramers-Brillouin and supersymmetric Wentzel-Kramers-Brillouin approximations. The methodology is applied to model systems and the transport of electrons in methane.},
keywords = {BOLTZMANN-EQUATION ANALYSIS, COEFFICIENTS, DIFFUSION, FIELD DEPENDENCE, MODERATORS, NEUTRAL GASES, PARAMETERS, SWARM, THERMALIZATION, VELOCITY DISTRIBUTION FUNCTION, WKB},
isbn = {0021-9606},
url = {://A1993MH74400037},
author = {Demeio, L. and Shizgal, B.}
}
@article {7108,
title = {A UNIFORM WKB ANALYSIS OF THE COUPLING OF ELECTRON-ATTACHMENT AND THERMALIZATION IN GASES},
journal = {Journal of Physics B-Atomic Molecular and Optical Physics},
volume = {24},
number = {13},
year = {1991},
note = {ISI Document Delivery No.: FX594Times Cited: 11Cited Reference Count: 44},
month = {Jul},
pages = {2909-2923},
type = {Article},
abstract = {The presence of small amounts of strongly electronegative gases such as SF6 and CCl4 can greatly perturb from equilibrium the electron energy distribution function in a variety of electron devices. The effect of the addition of these electron attaching gases on the relaxation behaviour of a non-equilibrium electron distribution is studied with a linear Fokker-Planck equation. The time dependence of the electron mobility as well as other transport properties can be expressed as a sum of exponential terms with each term characterized by an eigenvalue of the Fokker-Planck operator. This eigenvalue problem can be transformed to a Schrodinger equation with a potential function parametrized by the electron-atom cross sections, the electric field strength and the gas temperature. In the present paper, the eigenvalues and eigenfunctions are calculated with a WKB semiclassical approximation and compared with exact results. The application of the WKB approximation provides a useful way to calculate these strongly perturbed distributions. The specific applications in this paper are for the relaxation of electrons in the inert gases in the presence of small amounts of SF6 or CCl4.},
keywords = {CROSS-SECTIONS, DISCHARGES, FOKKER-PLANCK EQUATION, MIXTURES, MODERATORS, RARE, relaxation, SF6, SWARM DEVELOPMENT, TRANSPORT-COEFFICIENTS},
isbn = {0953-4075},
url = {://A1991FX59400007},
author = {Shizgal, B.}
}