Benchmark solutions for the galactic heavy-ion transport equations with energy and spatial coupling

Statistics – Computation

Scientific paper

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Galactic Cosmic Rays, Heavy Ions, Neutrons, Nuclear Interactions, Radiation Dosage, Radiation Shielding, Transport Theory, Algorithms, Approximation, Flux Density, Laplace Transformation, Mathematical Models, Radiation Effects, Radiation Protection

Scientific paper

Nontrivial benchmark solutions are developed for the galactic heavy ion transport equations in the straightahead approximation with energy and spatial coupling. Analytical representations of the ion fluxes are obtained for a variety of sources with the assumption that the nuclear interaction parameters are energy independent. The method utilizes an analytical LaPlace transform inversion to yield a closed form representation that is computationally efficient. The flux profiles are then used to predict ion dose profiles, which are important for shield design studies.

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