Random Processes in Nuclear Reactors
Random Processes in Nuclear Reactors

Author: M. M. R. Williams

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 258

ISBN-13: 1483187276

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Random Processes in Nuclear Reactors describes the problems that a nuclear engineer may meet which involve random fluctuations and sets out in detail how they may be interpreted in terms of various models of the reactor system. Chapters set out to discuss topics on the origins of random processes and sources; the general technique to zero-power problems and bring out the basic effect of fission, and fluctuations in the lifetime of neutrons, on the measured response; the interpretation of power reactor noise; and associated problems connected with mechanical, hydraulic and thermal noise sources. The book will be very useful to nuclear engineers.

Global Neutron Calculations
Global Neutron Calculations

Author: Mihály Makai

Publisher: Bentham Science Publishers

Published: 2015-03-05

Total Pages: 576

ISBN-13: 1681080273

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Global Neutron Calculations provides assessment guidelines for nuclear reactors in a step-by-step manner. The book introduces readers to principal physical ideas, the fundamentals of nuclear reactors including the theory of self-sustaining chain reactions and the associated physical and mathematical calculations. The required theory, the mathematical appparatus and, the applied methods are comprehensively explained in the first half of the book followed by details about the applications of the theory and methods. Readers will gain essential information about reactor control and surveillance, instrumentation and control, technology, fuel management, core design and the differences in reactor technologies. Global Neutron Calculations demystifies technical and mathematical knowledge about reactor design, operation, safety and analysis for engineers learning about one of mankind’s most controversial means of power generation.

Stochastic Neutron Transport
Stochastic Neutron Transport

Author: Emma Horton

Publisher: Springer Nature

Published: 2023-12-17

Total Pages: 278

ISBN-13: 3031395468

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This monograph highlights the connection between the theory of neutron transport and the theory of non-local branching processes. By detailing this frequently overlooked relationship, the authors provide readers an entry point into several active areas, particularly applications related to general radiation transport. Cutting-edge research published in recent years is collected here for convenient reference. Organized into two parts, the first offers a modern perspective on the relationship between the neutron branching process (NBP) and the neutron transport equation (NTE), as well as some of the core results concerning the growth and spread of mass of the NBP. The second part generalizes some of the theory put forward in the first, offering proofs in a broader context in order to show why NBPs are as malleable as they appear to be. Stochastic Neutron Transport will be a valuable resource for probabilists, and may also be of interest to numerical analysts and engineers in the field of nuclear research.

Elements of the Theory of Markov Processes and Their Applications
Elements of the Theory of Markov Processes and Their Applications

Author: A. T. Bharucha-Reid

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 485

ISBN-13: 0486150356

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This graduate-level text and reference in probability, with numerous applications to several fields of science, presents nonmeasure-theoretic introduction to theory of Markov processes. The work also covers mathematical models based on the theory, employed in various applied fields. Prerequisites are a knowledge of elementary probability theory, mathematical statistics, and analysis. Appendixes. Bibliographies. 1960 edition.

Random Sums and Branching Stochastic Processes
Random Sums and Branching Stochastic Processes

Author: Ibrahim Rahimov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 207

ISBN-13: 1461242169

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The aim of this monograph is to show how random sums (that is, the summation of a random number of dependent random variables) may be used to analyse the behaviour of branching stochastic processes. The author shows how these techniques may yield insight and new results when applied to a wide range of branching processes. In particular, processes with reproduction-dependent and non-stationary immigration may be analysed quite simply from this perspective. On the other hand some new characterizations of the branching process without immigration dealing with its genealogical tree can be studied. Readers are assumed to have a firm grounding in probability and stochastic processes, but otherwise this account is self-contained. As a result, researchers and graduate students tackling problems in this area will find this makes a useful contribution to their work.