NEUTRON IMPORTANCE AND VARIATIONAL FORMULATION IN REACTOR PHYSICS,

Abstract

The neutron importance is studied as a physical concept for a time-dependent system considering the case where successive detections are made as well as the final detection. Successive detections make the importance equation inhomogeneous. Based on the physical interpretation of neutron importance, a new formulation of variational principles are proposed in a manner applicable to time-dependent systems. The proposed variational functionals are to be understood not as Lagrangian densities as in classical or quantum theory of fields but as total detection data in experiments. As an application, a method of Green's functions is developed to improve successively a trial flux. The modification factor for the source term in the diffusion equation is derived in a most elementary way. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 25, 1966
Accession Number
AD0634843

Entities

People

  • Reikichi Nozawa

Organizations

  • Uppsala University

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Detection
  • Differential Equations
  • Diffusion
  • Equations
  • Mathematics
  • Physics
  • Quantum Mechanics
  • Variational Principles

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Mathematical Modeling and Probability Theory.
  • Systems Analysis and Design

Technology Areas

  • Quantum Computing