Abstract
The theory of space-dependent neutron noise is applied to the coupled core problem. The geometry modeled is a three region configuration consisting of two sub-cores with a central non-multiplying region of one-fourth to four diffusion lengths resulting in a tightly to loosely coupled system. The solution sought is the auto-spectral density function (ASDF) for the system. The results obtained show the space-dependency of the ASDF as a change in the higher frequency asymptotic form due to detector location. Those forms encountered were proportional to ω −2 for detectors near the center of the system, ω − 3 2 when approaching the core — non-multiplying region interface and within the core region, and ω − 1 2 for locations at the outer boundaries. Break frequencies, ω b , were correctly determined only by applying the appropriate higher frequency asymptotic form. This proves the importance of spatial effects on noise studies.
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