Influence of anisotropic scattering on the size of time-dependent systems in monoenergetic neutron transport

Authors
Citation
C. Yildiz, Influence of anisotropic scattering on the size of time-dependent systems in monoenergetic neutron transport, J PHYS D, 32(3), 1999, pp. 317-325
Citations number
56
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
JOURNAL OF PHYSICS D-APPLIED PHYSICS
ISSN journal
00223727 → ACNP
Volume
32
Issue
3
Year of publication
1999
Pages
317 - 325
Database
ISI
SICI code
0022-3727(19990207)32:3<317:IOASOT>2.0.ZU;2-M
Abstract
Criticality type eigenvalues of the one-speed transport equation in a homog eneous slab with anisotropic scattering and Marshak boundary conditions are considered. The connection between the transport equations for a critical and for a time-decaying system is established, and thus the time-dependent equation is reduced to the stationary one. Variation of the size of the tim e-dependent system with anisotropic scattering is studied numerically. Calc ulations for different combinations of the scattering parameters and the se lected values of the time decay constant using the PN method are reported. Results are discussed and compared with those already obtained using variou s methods available in the literature.