Integral Reactor Theory: Orthogonality and Importance
| Autor: | M. A. Robkin, Melville Clark |
|---|---|
| Rok vydání: | 1960 |
| Předmět: |
010308 nuclear & particles physics
Differential equation Mathematical analysis 0211 other engineering and technologies Inverse 02 engineering and technology 01 natural sciences Boltzmann equation Integral equation Causality (physics) Nuclear Energy and Engineering Orthogonality Adjoint equation 0103 physical sciences 021108 energy Meaning (existential) Mathematics |
| Zdroj: | Nuclear Science and Engineering. 8:437-442 |
| ISSN: | 1943-748X 0029-5639 |
| DOI: | 10.13182/nse60-a25826 |
| Popis: | It is observed that the formal mathematical adjoint of the integral form of the solution of the Boltzmann equation is not the same as, and is not a solution for, the formal mathematical adjoint to the integro-differential form. If the concept of importance is to have a unique physical meaning, there must be a basic physical difference between the adjoint integral and the integral solution to the integro-differential equation. It is shown that such a physical difference can be specified, that the concept of "inverse causality" is unnecessary, and that normal "forward" causality is sufficient to derive the importance from first principles. The resulting equations for the importance distributions are then shown to be completely consistent with all requirements of orthogonality between thesedistributions and the neutron distributions. (auth) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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