Note on Neutron Flux-Current Boundary Conditions at Gaps in One-Dimensional Systems

George M. Safonov

ResearchPublished 1956

A method for connecting the neutron flux and current across gaps in one-dimensional systems (i.e., systems with spherical, cylindrical, and laminar symmetries). For a gap in a laminar system, the rigorous boundary condition is the continuity of the Boltzmann flux as the gap is crossed. With the spherical and cylindrical systems, the curvature of the gap boundaries must enter into a suitable condition relating neutron densities on the two sides of a void.

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Safonov, George M., Note on Neutron Flux-Current Boundary Conditions at Gaps in One-Dimensional Systems. Santa Monica, CA: RAND Corporation, 1956. https://www.rand.org/pubs/research_memoranda/RM1814.html.
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