@article {2781,
	title = {TIME-DEPENDENT NUCLEATION .2. A SEMICLASSICAL APPROACH},
	journal = {Journal of Chemical Physics},
	volume = {98},
	number = {7},
	year = {1993},
	note = {ISI Document Delivery No.: KV997Times Cited: 13Cited Reference Count: 20},
	month = {Apr},
	pages = {5713-5719},
	type = {Article},
	abstract = {The continuum approximation of the Becker-Doring birth and death equations [B. Shizgal and J. C. Barrett, J. Chem. Phys. 91, 6505 (1989)] leads to a Fokker-Planck equation for the continuous cluster distribution. This linear Fokker-Planck equation is solved with the expansion of the cluster distribution function in the eigenfunctions of the Fokker-Planck operator. The Fokker-Planck eigenvalue problem can be transformed into an equivalent Schrodinger equation. In this paper, the semiclassical Wentzel-Kramers-Brillouin (WKB) method and the corresponding supersymmetric WKB method are employed in the determination of the eigenvalues and eigenfunctions of the equivalent Schrodinger equation. We compare the approximate results with those obtained with a standard discretization scheme. We obtain eigenvalues and eigenfunctions of the Fokker-Planck operator which are in good agreement with the exact ones. The nucleation fluxes and associated time lags are also considered.},
	keywords = {ELECTRON THERMALIZATION, FOKKER-PLANCK EQUATIONS, WKB},
	isbn = {0021-9606},
	url = {<Go to ISI>://A1993KV99700055},
	author = {Demeio, L. and Shizgal, B.}
}
@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 = {<Go to ISI>://A1993MH74400037},
	author = {Demeio, L. and Shizgal, B.}
}
