Abstract
The present article is concerned with the density distribution of thermal neutrons on the surface of lumps in two semi-infinite two-dimensional square lattices that are separated by a plane. The solution of this problem can be reduced to the solution of the Riemann boundary problem, which can be expressed in closed form. According to an analysis of the approximate solution for cases of practical importance, the asymptotic neutron density and its derivative are continuous at the boundary if the lattices are replaced by a homogenized medium. A similar solution of this problem for a lattice with an infinite reflector (moderator) is considered.
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A. D. Galanin, Theory of Thermal Neutral Nuclear Reactors [in Russian] (Atomizdat, Moscow, 1990, 2nd ed.
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This article has been received from the Czechoslovakian Socialist Republic.
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Trlifai, L. Two-dimensional boundary problem for two-dimensional square lattices. The Soviet Journal of Atomic Energy 11, 865–876 (1962). https://doi.org/10.1007/BF01491183
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DOI: https://doi.org/10.1007/BF01491183