Application of a maximum-entropy technique to spherical geometry in radiative transfer and reactor physics

Astronomy and Astrophysics – Astrophysics

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Capture Effect, Half Spaces, Maximum Entropy Method, Neutron Emission, Radiative Transfer, Luminosity, Pade Approximation, Spheres

Scientific paper

The maximum-entropy technique is used to solving three problems in radiative transfer and reactor physics involving spherical geometry. These problems are: (1) luminosity or the total energy emitted by a sphere, (2) neutron capture probability, and (3) the albedo problem. Numerical calculations are done and compared with the exact values as well as with Pade's approximant results. The comparisons show that the maximum-entropy results are very good and converge to the exact results.

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