The transport of neutrons in a multiplying system is an area of branching processes with a clear formalism. Neutron Fluctuations 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.
- 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
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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
A. Elements of the Theory of Generating Functions
B. Supplement to the Survival Probability
Imre Pázsit has been working with the theory and application of stochastic particle processes for several decades both at an academic level and with concrete applications to existing power plants in Sweden and elsewhere. He is internationally recognised for his contributions in reactor diagnostics with neutron noise methods. He is also a Fellow of the American Nuclear Society.
Lénárd Pál is professor and scientific adviser of KFKI Atomic Energy Research Institute. He is a member of the Hungarian Academy of Sciences and a foreign member of the Russian Academy of Sciences, as well as a Member of the Leibniz Sozietät. He is the author of Fundamentals of Probability Theory and Statistics (Akadémiai Kiadó, 1995) and Neutron Fluctuations: A Treatise on the Physics of Branching Processes (Elsevier, 2008)