The Covariance and Bicovariance of the Stochastic Neutron Field

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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 ... continued below

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48 pages

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Perez, R.B.; Mattingly, J.K.; Valentine, T.E. & Mihalczo, J.T. October 1, 2000.

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Description

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.

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48 pages

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INIS; OSTI as DE00769330

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  • Other Information: PBD: 1 Oct 2000

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  • Report No.: ORNL/TM-13690
  • Grant Number: AC05-00OR22725
  • DOI: 10.2172/769330 | External Link
  • Office of Scientific & Technical Information Report Number: 769330
  • Archival Resource Key: ark:/67531/metadc716228

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Creation Date

  • October 1, 2000

Added to The UNT Digital Library

  • Sept. 29, 2015, 5:31 a.m.

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  • Jan. 19, 2016, 12:10 p.m.

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Perez, R.B.; Mattingly, J.K.; Valentine, T.E. & Mihalczo, J.T. The Covariance and Bicovariance of the Stochastic Neutron Field, report, October 1, 2000; Tennessee. (digital.library.unt.edu/ark:/67531/metadc716228/: accessed June 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.