Integral-equation method for partially ionized plasmas

Mathematics

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Dense Plasmas, Electron-Ion Recombination, Equations Of State, Plasma Potentials, Electron Scattering, Elementary Particle Interactions, Integral Equations, Partitions (Mathematics), Pseudopotentials

Scientific paper

A pseudoclassical integral-equation method for obtaining the equation of state, pair-distribution functions, and static structure factors for partially ionized plasmas is presented. The electron-ion charge distribution is separated into a localized, quantum-mechanical part and a delocalized, nearly classical part. The Planck-Larkin method is used to separate the electron distribution. Localized-electron distributions are obtained from solutions of the Schroedinger equation. Distribution functions for ions and free electrons, including weakly bound electrons, are obtained from solutions to the classical hypernetted-chain (HNC) integral equation. Pseudopotentials that have two-body quantum mechanics built in, but which preclude strong bounded states, are used as input to the HNC. The results are applied to H and Ar plasmas.

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