On the solution of the dispersion equation for monoenergetic neutron transport with linearly anisotropic scattering

V. Protopopescu; N. G. Sjöstrand

doi:10.1016/0149-1970(81)90059-7

On the solution of the dispersion equation for monoenergetic neutron transport with linearly anisotropic scattering

V. Protopopescu
, N. G. Sjöstrand

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

The eigenvalues occurring in the stationary or time dependent, monoenergetic Boltzmann equation with linearly anisotropic scattering are investigated. A detailed analysis is made of the number, nature and behaviour of the eigenvalues for the stationary case. This is applied to an almost identical equation obtained by Williams in the theory of slowing down of particles. In the time dependent case, a semi-analytical proof is given for the existence of complex eigenvalues, which are not encountered for isotropic scattering.

Original language	English
Pages (from-to)	47-58
Number of pages	12
Journal	Progress in Nuclear Energy
Volume	7
Issue number	1
DOIs	https://doi.org/10.1016/0149-1970(81)90059-7
State	Published - 1981
Externally published	Yes

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title = "On the solution of the dispersion equation for monoenergetic neutron transport with linearly anisotropic scattering",

abstract = "The eigenvalues occurring in the stationary or time dependent, monoenergetic Boltzmann equation with linearly anisotropic scattering are investigated. A detailed analysis is made of the number, nature and behaviour of the eigenvalues for the stationary case. This is applied to an almost identical equation obtained by Williams in the theory of slowing down of particles. In the time dependent case, a semi-analytical proof is given for the existence of complex eigenvalues, which are not encountered for isotropic scattering.",

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AU - Protopopescu, V.

AU - Sjöstrand, N. G.

PY - 1981

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N2 - The eigenvalues occurring in the stationary or time dependent, monoenergetic Boltzmann equation with linearly anisotropic scattering are investigated. A detailed analysis is made of the number, nature and behaviour of the eigenvalues for the stationary case. This is applied to an almost identical equation obtained by Williams in the theory of slowing down of particles. In the time dependent case, a semi-analytical proof is given for the existence of complex eigenvalues, which are not encountered for isotropic scattering.

AB - The eigenvalues occurring in the stationary or time dependent, monoenergetic Boltzmann equation with linearly anisotropic scattering are investigated. A detailed analysis is made of the number, nature and behaviour of the eigenvalues for the stationary case. This is applied to an almost identical equation obtained by Williams in the theory of slowing down of particles. In the time dependent case, a semi-analytical proof is given for the existence of complex eigenvalues, which are not encountered for isotropic scattering.

UR - https://www.scopus.com/pages/publications/0019718038

U2 - 10.1016/0149-1970(81)90059-7

DO - 10.1016/0149-1970(81)90059-7

M3 - Article

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SN - 0149-1970

VL - 7

SP - 47

EP - 58

JO - Progress in Nuclear Energy

JF - Progress in Nuclear Energy

IS - 1

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On the solution of the dispersion equation for monoenergetic neutron transport with linearly anisotropic scattering

Abstract

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