LEADER 04848nam 2200685Ia 450 001 9911006640203321 005 20200520144314.0 010 $a9786611029142 010 $a9781281029140 010 $a1281029149 010 $a9780080550435 010 $a0080550436 035 $a(CKB)1000000000401708 035 $a(EBL)311416 035 $a(OCoLC)476098432 035 $a(SSID)ssj0000209893 035 $a(PQKBManifestationID)12024520 035 $a(PQKBTitleCode)TC0000209893 035 $a(PQKBWorkID)10267859 035 $a(PQKB)10704494 035 $a(MiAaPQ)EBC311416 035 $a(PPN)170266567 035 $a(FR-PaCSA)45006550 035 $a(CaSebORM)9780080550435 035 $a(FRCYB45006550)45006550 035 $a(EXLCZ)991000000000401708 100 $a20080430d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNeutron fluctuations $ea treatise on the physics on branching processes /$fImre Pazsit, Lenard Pal 205 $a1st ed. 210 $aAmsterdam ;$aBoston $cElsevier$dc2008 215 $a1 online resource (359 p.) 300 $aDescription based upon print version of record. 311 08$a9780080450643 311 08$a0080450644 320 $aIncludes bibliography (p. [335]-337) and index. 327 $aFront 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 327 $a2.3 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 327 $a5.3 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 Pa?l-Bell Equation; 8.1 Definitions; 8.2 Derivation of the Equation 327 $a8.3 Expectation, Variance and Covariance8.4 Pa?l-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 327 $aB.1 Asymptotic Form of Survival Probability in Discrete Time Process 330 $aThe 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 606 $aBranching processes 606 $aNeutrons 615 0$aBranching processes. 615 0$aNeutrons. 676 $a621.48/3101519234 700 $aPazsit$b Imre$01822426 701 $aPal$b Lenard$0346709 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911006640203321 996 $aNeutron fluctuations$94388634 997 $aUNINA