摘要:

The time decay constants characterizing the time behavior of a neutron pulse in a subcritical fast assembly are investigated by analyzing the time-eigenvalue spectrum of the transport operator for fast neutrons. To simplify this analysis, isotropic scattering was assumed, and a simple model of inelastic scattering was employed. By applying the techniques of functional analysis familiar from the study of the time-eigenvalue problem for thermal neutrons, it has been possible to classify the spectrum of the transport operator into the usual band spectrum for Re{s} ≤ - λ*, where λ* is the minimum collision frequency, and a point spectrum in the region Re{s} > - λ*. It was demonstrated that this point spectrum was void for either sufficiently small assembly sizes or sufficiently small concentrations of fissile material.

ISSN:0041-1450    

DOI:10.1080/00411457208232542

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

Two general evolution equations are derived for the space-time autocorrelation function of the electric field in an inhomogeneous, relativistic plasma. The powerful methods of nonequilibrium statistical mechanics are used to show that these equations can be considered to be generalizations of the radiative-transfer equation.

ISSN:0041-1450    

DOI:10.1080/00411457208232543

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

An interpretation is given of the two general evolution equations derived in the first paper of this series. Some approximations are showed to reduce the general equations to usable forms.

ISSN:0041-1450    

DOI:10.1080/00411457208232544

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

Using the Fourier transform technique, the neutron-wave-propagation problem has been studied in the presence of complete backscattering plus isotropic scattering of neutrons. The discrete and continuum solutions have been obtained in one-speed transport theory as well as in multi-velocity transport theory. A one-term degenerate kernel has been used for carrying out the analysis.

ISSN:0041-1450    

DOI:10.1080/00411457208232545

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

The half-range completeness of vector eigenfunctions of the multigroup transport equation with isotropic scattering is derived by applying full-range completeness to the solution of a half-space albedo problem.

ISSN:0041-1450    

DOI:10.1080/00411457208232546

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

A new variant of the spherical harmonics formalism is used in solving the one-speed neutron-transport equation. One unique facet of this formalism is the imposition of arbitrary angular segmentations that can be chosen to maximize the computational accuracy in a given modal-nodal approximation. It is found that this solution procedure permits the exact calculation of some neutron-transport parameters using a low-order expansion.

ISSN:0041-1450    

DOI:10.1080/00411457208232547

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

ISSN:0041-1450    

DOI:10.1080/00411457208232548

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

ISSN:0041-1450    

DOI:10.1080/00411457208232549

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor