New concept for deep-penetration transport calculations and two new forms of the neutron transport equation
A new concept to solve radiation transport problems is developed, bypassing the solution of the Boltzmann equation. A distribution function psi is defined as the product of the conventional neutron flux and adjoint distributions. Two equations, one complex and linear, the other real and nonlinear, are derived for psi. A conservation law for psi is established and a physical interpretation given for psi as a flux distribution for a limited number of source particles which will necessarily contribute to the integral response of interest. The linear but complex form of the transport equation is solved analytically for a sample case of a pure absorber in slab geometry.
- Research Organization:
- Los Alamos Scientific Lab., NM (USA)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 7329612
- Report Number(s):
- LA-6628-MS
- Country of Publication:
- United States
- Language:
- English
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