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On the Absorption and the Diffusion of Slow Neutrons
Physical Review, 1936The study of the absorption properties of slow neutrons establish the existence of absorption bands which correspond to energy intervals sufficiently narrow to allow one to isolate relatively homogeneous neutron groups. In this work, we describe several experiments and considerations designed to disclose the characteristics of the absorption and ...
E. Amaldi, E. Fermi
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Neutron Diffusion in a Temperature Gradient
Nuclear Science and Engineering, 1962>The space energy distribution of neutrons diffusing in a source-free, nonabsorbing medium possessing a temperature gradient is obtained by solving the appropriate Boltzmann equation to a second order approximation using the expansion technique of Chipman and Enskog.
J. R. L. de Ladonchamps, L. M. Grossman
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The problem of the neutron diffusion: A survey
Meccanica, 1968This paper expounds researches done by the author and others on the theory of the diffusion of neutrons in a moderating medium from the point of view of “phenomenological theory” and of “transport integro-differential equations”. In particular the transformational methods with a rigorous analysis for the case of “slab-geometry” are considered.
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Averaging the neutron diffusion equation
Progress in Nuclear Energy, 2009This paper presents a general theoretical analysis of the neutron motion problem in a nuclear reactor, where large variations on neutron cross-sections normally preclude the use of the classical neutron diffusion equation. A volume-averaged neutron diffusion equation (VANDE) is derived which includes correction terms to diffusion and nuclear reaction ...
R. Vázquez-Rodríguez +4 more
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Entropy production in neutron diffusion
Physica, 1967Abstract Formulae for the rate of entropy production are derived for neutron diffusion in a nonabsorbing moderator. It is shown, in the same way as in the kinetic theory of gases, that for a given value of the net current the entropy production rate reaches its minimum for the velocity distribution associated with the steady state, provided the ...
I Kuščer, A Čadež
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Neutron Diffusion — Basic Concepts
1992The previous chapters presented two of the most widely used parameters in reactor theory, the neutron flux and the neutron current. It was shown that both are products of the neutron number density and a characteristic speed. Consequently both have the same units (that is, [n/cm3] * [cm/s] = n/cm2/s), but nevertheless both parameters are also ...
K. Almenas, R. Lee
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Neutron Diffusion—The Finite Difference Solution of the Neutron Diffusion Equation
2023openaire +1 more source
Diffusion Approximation in Neutron Physics
2017The Boltzmann equation describes the exact behavior of neutrons. However, in most cases, the numerical resolution of this equation remains extremely onerous, leading physicists and engineers to work on an approximation to the Boltzmann equation: the diffusion equation.
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