Neutron fluctuations : a treatise on the physics on branching processes / / Imre Pazsit, Lenard Pal

• Record Nr.: UNINA9911006640203321
• Autore: Pazsit Imre
• Pubbl/distr/stampa: Amsterdam ; ; Boston, : Elsevier, c2008
• ISBN: 9786611029142; 9781281029140; 1281029149; 9780080550435; 0080550436
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (359 p.)
• Altri autori (Persone): PalLenard
• Disciplina: 621.48/3101519234
• Soggetti: Branching processes; Neutrons
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliography (p. [335]-337) and index.
• Nota di contenuto: Front cover; Neutron Fluctuations; Copyright page; Contents; Preface; Acknowledgement; List of most frequently used notations; Part I. Physics of Branching Processes; Chapter 1. Basic Notions; 1.1 Definitions; 1.2 Equations for the Generating Functions; 1.3 Investigation of the Generating Function Equations; 1.4 Discrete Time Branching Processes; 1.5 Random Tree as a Branching Process; 1.6 Illustrative Examples; Chapter 2. Generalisation of the Problem; 2.1 Joint Distribution of Particle Numbers at Different Time Instants; 2.2 Branching Process with Two Particle Types; 2.3 Extinction and Survival ProbabilityChapter 3. Injection of Particles; 3.1 Introduction; 3.2 Distribution of the Number of Particles; 3.3 Limit Probabilities; 3.4 Probability of the Particle Number in a Nearly Critical System; Chapter 4. Special Probabilities; 4.1 Preliminaries; 4.2 The Probability of the Number of Absorptions; 4.3 Probability of the Number of Detections; 4.4 Probability of the Number of Renewals; 4.5 Probability of the Number of Multiplications; Chapter 5. Other Characteristic Probabilities; 5.1 Introduction; 5.2 Distribution Function of the Survival Time; 5.3 Number of Particles Produced by a Particle and Its Progeny5.4 Delayed Multiplication of Particles; 5.5 Process with Prompt and Delayed Born Particles; Chapter 6. Branching Processes in a Randomly Varying Medium; 6.1 Characterisation of the Medium; 6.2 Description of the Process; 6.3 Factorial Moments, Variances; 6.4 Random Injection of the Particles; Chapter 7. One-Dimensional Branching Process; 7.1 Cell Model; 7.2 Continuous model; Part II. Neutron Fluctuations; Chapter 8. Neutron Fluctuations in the Phase Space: The Pál-Bell Equation; 8.1 Definitions; 8.2 Derivation of the Equation; 8.3 Expectation, Variance and Covariance8.4 Pál-Bell Equation in the Diffusion Approximation; Chapter 9. Reactivity Measurement Methods in Traditional Systems; 9.1 Preliminaries; 9.2 Feynman-Alpha by the Forward Approach; 9.3 Feynman-Alpha by the Backward Approach; 9.4 Evaluation of the Feynman-Alpha Measurement; 9.5 The Rossi-Alpha Method; 9.6 Mogilner's Zero Probability Method; Chapter 10. Reactivity Measurements in Accelerator Driven Systems; 10.1 Steady Spallation Source; 10.2 Pulsed Poisson Source with Finite Pulse Width; 10.3 Pulsed Compound Poisson Source with Finite Width; B.1 Asymptotic Form of Survival Probability in Discrete Time Process
• Sommario/riassunto: 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 s