The Covariance and Bicovariance of the Stochastic Neutron Field

Perez, R.B. ; Mattingly, J.K. ; Valentine, T.E. ; Mihalczo, J.T.

Oak Ridge National Laboratory

关键词: Correlation Functions;    22 General Studies Of Nuclear Reactors;    Kinetics;    72 Physics Of Elementary Particles And Fields;    Neutrons;   

DOI  :  10.2172/769330
RP-ID  :  ORNL/TM-13690
RP-ID  :  AC05-00OR22725
RP-ID  :  769330

美国|英语

来源: UNT Digital Library

【 摘 要 】

On the basis of the general stochastic neutron field theory developed by Munoz-Cobo et al, results on the covariance and bicovariance of the neutron field have been presented. These two statistical quantities are obtained from the counts observed in detectors operating during a period of time (gate length), {Delta}{sub qc}. A classical example is the so called Feynmann Y-function that is defined as the variance to mean ratio of the neutron field. Upon taking the limit of the covariance and bicovariance function for {Delta}{sub qc} {r_arrow} O , one obtains the two and three detector cross correlation functions respectively. The mathematical structure of the results so obtained have a transparent physical interpretation in terms of the space and delay time overlap between the field-of-view of the detectors. For the first time, an expression has been obtained for the bispectrum function of the stochastic neutron field and for the appropriate weight functions to be used as space-energy-angle correction factors for the one-point kinetics approximation.