Isoperimetric and Other Inequalities in the Theory of Neutron Transport
Open Access
- 1 November 1961
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 2 (6), 829-847
- https://doi.org/10.1063/1.1724229
Abstract
Some isoperimetric and other inequalities occurring in the one‐velocity theory of neutron transport are derived. The quantities involved in these inequalities all refer to bare solids with isotropic scattering and are: the critical multiplication, the first‐collision probability, the non‐escape probability, and the buckling. The inequalities proved provide upper and lower bounds for the quantities considered, and numerous examples of the estimation of these quantities in cases not readily amenable to direct calculation are given.Keywords
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