INVARIANT IMBEDDING AND NEUTRON TRANSPORT THEORY. III. NEUTRON-NEUTRON COLLISION PROCESSES

Abstract

The effects on criticality of neutron-neutron collisions involving annihilation are investigated for one-dimensional, single and multi-group cases. The analytic treatment shows that regardless of the magnitude of the cross section for collision between moving neutrons, there is no critical length (mass). The analogy between this situation and that in hydrodynamics, where the addition of an arbitrarily small viscosity term eliminates the discontinuous shock phenomenon, is indicated. As in earlier papers, the underlying equations are derived using the principle of invariant imbedding.

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Document Details

Document Type
Technical Report
Publication Date
Jun 20, 1958
Accession Number
AD0606937

Entities

People

  • G. Milton Wing
  • Richard E. Bellman
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Analogs
  • Boundaries
  • California
  • Collisions
  • Energy
  • Equations
  • Hydrodynamics
  • Intervals
  • Mathematics
  • Neutron Transport Theory
  • Notation
  • Nuclear Energy
  • Probability
  • Transport Ships
  • Viscosity

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Solar Physics