Results 251 to 260 of about 250,076 (324)

Two-Group Perturbation Theory in Neutron Transport Theory

Proceedings of the Physical Society. Section A, 1954
This paper describes the application of perturbation theory to two-velocity-group neutron problems. We consider the exact integral equations satisfied by the neutron densities. The treatment is, therefore, not restricted to systems whose dimensions are large compared with the relevant mean free paths, and is more general than that reported by Glasstone
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Asymptotic Solutions in Neutron Transport Theory

Nuclear Science and Engineering, 1977
Asymptotic solutions, as obtained through the application of perturbation techniques to neutron transport theory, are constructed for different physical situations. In particular, large critical systems for both mono- and polyenergetic cases, as well as time-dependent problems, are considered. Numerical results are reported and discussed.
BOFFI V. C., MOLINARI V. G., SPIGA, Giampiero   +2 more
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Functional methods in three-dimensional neutron transport theory

Meccanica, 1976
In this work, we are concerned with the stationary neutron transport Boltzmann equation (in its integral form) in a parallelepiped. Functional methods allow us to prove that the integral transport operator, which is defined in L2 space, has eigenvalues depending continuously and monotonically on geometrical and physical parameters.
BUSONI, GIORGIO, FROSALI, GIOVANNI, L. MANGIAROTTI   +2 more
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Unified Neutron Transport Theory

1979
I remember very well my first encounter with neutron transport theory. It was in 1948 or 1949 at Oak Ridge, where I was involved in critical mass calculations for a plant that performed chemical processing of uranium solutions. We had been using semi-empirical formulas provided for us by our consultant Richard Feynman, whose later accomplishments you ...
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Heavy Moderator Approximations in Neutron Transport Theory

Journal of Applied Physics, 1958
The flow of neutrons slowing down into a given angular and lethargy (or energy) interval equals an integral over the contributions from neutrons at other angles and lethargies within the medium. The two angular dependences of the integrand are commonly expanded in Legendre polynomials, and for heavy moderators, the lethargy dependence being integrated ...
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SPECTRAL APPROXIMATION THEORY FOR MULTIGROUP NEUTRON TRANSPORT OPERATORS

Acta Mathematica Scientia, 1986
Summary: By using operator theory in Banach space, we mainly study spectral approximation theory for the case of an inhomogeneous, anisotropically scattering, and arbitrarily finite convex body with any cavity in an L p context for general p, \(1\leq ...
Song, Yuhe, Yang, Mingzhu
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Velocity Dependent Neutron Transport Theory

Nuclear Science and Engineering, 1960
A method of extending the spherical harmorics method to calculation of velocily-dependent neutron transport processss is described. Application of the method is made to a vsriation of the Milne problem with the model of an ideal gas of unit mass for the scatiering medium. The results indicate that the method can give accurate analytical expressions for
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Orthogonal polynomials in neutron transport theory

Journal of Physics A: Mathematical and General, 1982
The asymptotic average properties of zeros of the polynomials gkm(x), which play a fundamental role in neutron transport and radiative transfer theories, are investigated analytically in terms of the angular expansion coefficients wk of the scattering kernel for three wide classes of scattering models.
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ELEMENTS OF NEUTRON TRANSPORT THEORY

Nuclear Reactor Physics and Engineering, 2020

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Neutron Transport Theory and Simulation

2017
Devoted to describing neutron movement in media and the corresponding laws, neutron transport theory is the research basis for transmutation and activation, radiation damage to materials, radiation dose, and biological safety, among other topics.
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