Exact random walk definition of the collisional-radiative ionization and recombination coefficients

Mathematics

Scientific paper

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Ionization Coefficients, Radiative Recombination, Random Walk, Recombination Coefficient, Transition Probabilities, Collisional Plasmas, Electron Transitions, Heuristic Methods, Matrices (Mathematics)

Scientific paper

The collisional-radiative ionization and recombination coefficients are shown to be expressible in terms of the 'total probability', from initial level i to final level j, which excludes intermediate returns to the initial level. Applications are made to three-level and four-level systems to illustrate the method of calculation and compare with an approximation currently used.

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