A PRELIMINARY INVESTIGATION OF TRANSPORT-BRANCHING PROCESSES

Abstract

A probabilistic discussion of one-dimensional multitype neutron transport processes is given, and the invariant imbedding technique is applied to the generating functions of the emitted neutrons. A system of simultaneous partial differential equations for these generating functions is then derived. The well-known Ricatti equation for the expected reflected flux follows from these differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1966
Accession Number
AD0632534

Entities

People

  • Bernard Shiffman

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Chain Reactions
  • Chemical Reactions
  • Differential Equations
  • Equations
  • Fission
  • Markov Chains
  • Mathematical Models
  • Models
  • Neutron Beams
  • Neutron Flux
  • Partial Differential Equations
  • Probability
  • Probability Distributions
  • Radiative Transfer
  • Random Variables
  • Random Walk
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.
  • Solar Physics