A multi-region multi-energy formalism for the Feynman-alpha formulas

T. Malinovitch, C. Dubi

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The stochastic transport equation, describing the dynamics in time of the neutron population in a nuclear system, is used to gain expressions for the higher moments of the neutron population in a sub-critical system. Such expressions are the bone structure of the so called Feynman-α method to analyze noise experiments, aimed to determine the reactivity of sub-critical systems. In the present study, a general formalism for the stochastic transport equation in an N regions system, under the M energy groups approximation will be introduced. In particular, expressions for the Feynman variance to mean (or the Feynman-Y function) under the above mentioned restriction will be sought by using the steady state mode of the solution.

Original languageEnglish
Pages (from-to)297-304
Number of pages8
JournalAnnals of Nuclear Energy
Volume76
DOIs
StatePublished - 1 Jan 2015
Externally publishedYes

Keywords

  • Feynman-alpha method
  • Noise experiment
  • Stochastic transport

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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