Escape-Probabilities in Asymptotic Reactor Theory
- 1 August 1961
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 10 (4) , 362-366
- https://doi.org/10.13182/nse61-a15379
Abstract
Explicit formulas are given one-velocity escape probabilities from absorbing and (isotropic) scattering slabs in vacuo as calculated by the methods of asymptotic reactor theory. The results are compared with exact numerical calculations, diffusion theory, and a variational principal. Even for slabs as thin as two mean free paths, the asymptotic calculations are found to be highly accurate. By comparing the asymptotic methods with some multiple-scattering calculations for infinite cylinders, an extrapolated boundary has been defined for the cylinder, and in this fashion explicit formulas have been obtained for the escape probabilities from finite cylinders.Keywords
This publication has 4 references indexed in Scilit:
- Asymptotic Reactor TheoryNuclear Science and Engineering, 1961
- On the Validity of the Second Fundamental Theorem in a Medium with Anisotropic ScatteringNuclear Science and Engineering, 1960
- On the Validity of the Second Fundamental Theorem for Small ReactorsNuclear Science and Engineering, 1959
- Multiple Scattering of NeutronsNuclear Science and Engineering, 1957