Neutron Fluctuations

A Treatise on the Physics of Branching Processes


  • Imre Pazsit, Chalmers University of Technology, Department of Nuclear Engineering, Göteborg, Sweden
  • Lenard Pal, KFKI Atomic Energy Research Institute, Hungarian Academy of Sciences, Budapest, Hungary

The transport of neutrons in a multiplying system is an area of branching processes with a clear formalism. This book presents an account of the mathematical tools used in describing branching processes, which are then used to derive a large number of properties of the neutron distribution in multiplying systems with or without an external source.
In the second part of the book, the theory is applied to the description of the neutron fluctuations in nuclear reactor cores as well as in small samples of fissile material. The question of how to extract information about the system under study is discussed. In particular the measurement of the reactivity of subcritical cores, driven with various Poisson and non-Poisson (pulsed) sources, and the identification of fissile material samples, is illustrated. The book gives pragmatic information for those planning and executing and evaluating experiments on such systems.
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Scientists in academia and government and research institutes as well as nuclear engineers. It is also suitable for postgraduates and gradutate students.


Book information

  • Published: October 2007
  • Imprint: ELSEVIER
  • ISBN: 978-0-08-045064-3

Table of Contents

PrefaceAcknowledgementsContentsList of most frequently used notationsPart I. Physics of Branching Processes1. Basic Notions2. Generalisation of the Problem3. Injections of Particles4. Special Probabilities5. Other Characteristic Probabilities6. Branching Processes in a Randomly Varying Medium7. One-Dimensional Branching ProcessPart II. Neutron Fluctuations8. Neutron Fluctuations in the Phase Space: The Pál-Bell Equation9. Reactivity Measurement Methods in Traditional Systems10. Reactivity Measurements in Accelerator Driven Systems11. Theory of Multiplicity in Nuclear SafeguardsAppendicesA. Elements of the Theory of Generating FunctionsB. Supplement to the Survival ProbabilityBibliographyIndex