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.

Key Features

- Gives a complete treatise of the mathematics of branching particle processes, and in particular neutron fluctuations, in a self-contained manner; - The first monograph containing the theory and application of neutron fluctuations in low power ADS (spallation and pulsed sources); - Suitable as a tutorial and handbook/reference book for scientists and graduate students; - One of the authors is the founder of the mathematical theory of neutron fluctuations in zero power systems.


Scientists in academia and government and research institutes as well as nuclear engineers. It is also suitable for postgraduates and gradutate students.

Table of Contents

Preface Acknowledgements Contents List of most frequently used notations Part I. Physics of Branching Processes 1. Basic Notions 2. Generalisation of the Problem 3. Injections of Particles 4. Special Probabilities 5. Other Characteristic Probabilities 6. Branching Processes in a Randomly Varying Medium 7. One-Dimensional Branching Process Part II. Neutron Fluctuations 8. Neutron Fluctuations in the Phase Space: The Pál-Bell Equation 9. Reactivity Measurement Methods in Traditional Systems 10. Reactivity Measurements in Accelerator Driven Systems 11. Theory of Multiplicity in Nuclear Safeguards Appendices A. Elements of the Theory of Generating Functions B. Supplement to the Survival Probability Bibliography Index


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© 2008
Elsevier Science
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