Complex time eigenvalues of the one speed neutron transport equation for a homogeneous sphere
Journal Article
·
· Transp. Theory Stat. Phys.; (United States)
The time eigenvalue spectrum of the one-speed, isotropic scattering neutron transport equation has been studied for a homogeneous sphere with vacuum boundary conditions. There is a close relationship between the time eigenvalue problem and the critiality problem of the time independent equation for the same model. It is shown that this relation holds even when the time eigenvalues are complex. Using Carlvik's method to solve the criticality problem, it is shown that complex time eigenvalues do actually exist for this model problem. Thus the real eigenvalues found by van Norton do not form the complete spectrum.
- Research Organization:
- Department of Reactor Physics, Chalmers University of Technology, S-41296 Goeteborg, Sweden
- OSTI ID:
- 6667364
- Journal Information:
- Transp. Theory Stat. Phys.; (United States), Journal Name: Transp. Theory Stat. Phys.; (United States) Vol. 12:4; ISSN TTSPB
- Country of Publication:
- United States
- Language:
- English
Similar Records
One-speed neutron transport eigenvalues for reflected slabs and spheres
Real criticality eigenvalues of the one-speed-linear transport operator
Existence of complex eigenvalues for the mono-energetic neutron transport equation
Journal Article
·
Sun Mar 31 23:00:00 EST 1991
· Nuclear Science and Engineering; (United States)
·
OSTI ID:5183790
Real criticality eigenvalues of the one-speed-linear transport operator
Journal Article
·
Tue Oct 31 23:00:00 EST 1995
· Transport Theory and Statistical Physics
·
OSTI ID:274290
Existence of complex eigenvalues for the mono-energetic neutron transport equation
Journal Article
·
Wed Dec 31 23:00:00 EST 1975
· Transp. Theory Stat. Phys.; (United States)
·
OSTI ID:7336838