Numerical solution of the spatially inhomogeneous Boltzmann equation and verification of the nonlocal approach for an argon plasma

Journal Article · Sun Jan 01 00:00:00 EST 1995 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.51.280· OSTI ID:6689558

Busch, C; Kortshagen, U ^[1]

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1. Institut fuer Exerimentalphysik II, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)

The spatially dependent description of the electron kinetics is of vital interest for the modeling of complete plasma devices. A possible method of dealing with this problem is by the solution of the Boltzmann equation accounting for the spatial inhomogeneity. This approach can be a complicated task. On the other hand, this method may be much more efficient than the treatment of the electron kinetics by simulation techniques. In this paper, the numerical solution of the spatially dependent Boltzmann equation for an argon plasma in cylindrical geometry is reported. A detailed discussion on the boundary conditions is presented. The numerical results are compared to results of the nonlocal approach,'' which is a very efficient method for the solution of the spatially dependent Boltzmann equation for the limiting case that the energy relaxation length of electrons exceeds the discharge dimensions. The range of applicability of the nonlocal approach is discussed in terms of the neutral gas density and the inhomogeneity of the electric field.

• OSTI ID: 6689558
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Vol. 51:1; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ARGON
BOLTZMANN EQUATION
NUMERICAL SOLUTION
BOUNDARY CONDITIONS
DISTRIBUTION FUNCTIONS
ELECTRON DENSITY
ELECTRONS
KINETIC EQUATIONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ELEMENTS
EQUATIONS
FERMIONS
FLUIDS
FUNCTIONS
GASES
LEPTONS
NONMETALS
PARTIAL DIFFERENTIAL EQUATIONS
RARE GASES
700330* - Plasma Kinetics
Transport
& Impurities- (1992-)