摘要:

The spatial distribution of the scalar flux is investigated for vanishinly small critical systems in the three standard one dimensional geometries. In slab geometry, this distribution is found to be flat. In spherical and cylindrical systems, one finds the unexpected result that the scalar flux distributions do not approach a constant as the radius of the system goes to zero. Numerical results are given for the scalar flux distributions in this vanishingly small limit. Numerical results are also given for the criticality conditions for these three geometries for small, but non-zero size, systems. These exact results are used to re-investigate the criticality problem for highly anisotrbpic scattering. The trends previously reported from an approximate variational approach are confirmed. An argument is presented why the standard reasoning which leads to the conclusion that vanishing small systems have spatially flat flux distribution is not valid for critical systems.

ISSN:0041-1450    

DOI:10.1080/00411458008204336

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

Polynomial and exponentially time-dependent solutions of the mono energetic neutron transport equation in plane symmetry are considered and given explicitly. In order to construct these solutions, the inhomogeneous stationary neutron transport equation with a polynomial external source, was solved.

ISSN:0041-1450    

DOI:10.1080/00411458008204337

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

We examine the neutron flux in the slowing down region following a pulse of neutrons of speed vo. We show that the flux is a function of the product vt and the ratio v/vc. We further show that for finite moderators the dependence upon the ratio v/vois of the form (v/vo)μMwhere μM depends upon the non-leakage probability.

ISSN:0041-1450    

DOI:10.1080/00411458008204338

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

A method is presented for obtaining both <ℓ>, the mean chord length across a convex system, and a new and simple expression for <ℓ>.

ISSN:0041-1450    

DOI:10.1080/00411458008204339

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

Some theorems of Carleman on the existence and uniqueness of the solutions to the Boltzmann equation are extended to the case ρ(ζ) = ρoζ−y, with γ ε [0,1], where ζ is the relative velocity and a the cross section. Existence is proved in the small when there is a convex surface in the gas, and in the large for a spatially homogeneous gas.

ISSN:0041-1450    

DOI:10.1080/00411458008204340

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

Scattering Theory in Quantum Mechanics by Wern-r O. Amerin, Joseph M. Jauch and Kalyan B. Sinha, W. A. Benjamin, Inc., Reading, Mass., 1977 xxii + 691 pp.

ISSN:0041-1450    

DOI:10.1080/00411458008204341

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor