Neutron fluctuations a treatise on the physics on branching processes
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 multip...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; Boston :
Elsevier
c2008.
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| Edición: | 1st ed |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009626960306719 |
Tabla de Contenidos:
- 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
