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A Monte Carlo Primer : a Practical Approach to Radiation Transport

Author: Stephen A Dupree; Stanley K Fraley
Publisher: Boston, MA : Springer US : Imprint : Springer, 2002.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book introduces the reader to the use of Monte Carlo methods for solving practical problems in radiation transport, and will also serve as a reference work for practitioners in the field. It assumes the reader has a general knowledge of calculus and radiation physics, and a knowledge of Fortran programming, but assumes no prior knowledge of stochastic methods or statistical physics. The subject is presented by  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Stephen A Dupree; Stanley K Fraley
ISBN: 9781441984913 1441984917 9781461346289 1461346282
OCLC Number: 840276591
Description: 1 online resource (XIII, 341 pages)
Contents: 1. Introduction --
1.1 The Monte Carlo Method --
1.2 The Evaluation of Random Processes> --
1.3 Monte Carlo Evaluation of Definite Integrals --
Exercises --
2. Monte Carlo Sampling Techniques --
2.1 Probability Theory and Statistics --
2.2 Sampling --
2.3 Means and Variances --
2.4 Estimations of Means and Variances --
2.5 Introduction to Variance Reduction Techniques --
Exercises --
3. Monte Carlo Modeling of Neutron Transport --
3.1 Introduction --
3.2 Neutron Interactions and Mean Free Path --
3.3 Neutron Transport --
3.4 A Mathematical Basis for Monte Carlo Neutron Transport --
3.5 Monte Carlo Modeling of Neutron Motion --
3.6 Particle Flight Path in Complex Geometries --
3.7 Multi-Region Problems --
Exercises --
4. Energy-Dependent Neutron Transport --
4.1 Elastic Scattering of Neutrons --
4.2 Transformation of Post-Collision Direction to Laboratory System --
4.3 Energy-Dependent Cross Sections --
Exercises --
5. A Probabilistic Framework Code --
5.1 Introduction to PFC --
5.2 Problem Definition in PFC --
5.3 The Random Walk in PFC --
5.4 Computing the Response --
Exercises --
6. Variance Reduction Techniques --
6.1 Introduction --
6.2 Source Biasing --
6.3 Survival Biasing --
5.4 Russian Roulette --
6.5 Splitting --
6.6 Exponential Transform --
Exercises --
7. Monte Carlo Detectors --
7.1 Introduction --
7.2 The Next-Event Estimator --
7.3 Volumetric Flux Detectors --
7.3 Surface-Crossing Flux Estimator --
7.5 Expectation Surface-Crossing Flux Estimator --
Time-Dependent Detectors --
Exercises --
8. Nuclear Criticality Calculations with Monte Carlo --
8.1 Multiplying Assemblies --
8.2 The Generation Method --
8.3 The Matrix Method --
8.4 Combination of Generation and Matrix Methods --
8.5 Criticality Calculations Using Multigroup Cross Sections --
Exercises --
9. Advanced Applications of Monte Carlo --
9.1 Correlated Sampling --
9.2 Adjoint Monte Carlo --
9.3 Neutron Thermalization --
Exercises --
Appendix Random Number Generators.
Responsibility: by Stephen A. Dupree, Stanley K. Fraley.

Abstract:

The mathematical technique of Monte Carlo, as applied to the transport of sub-atomic particles, has been described in numerous reports and books since its formal development in the 1940s.  Read more...

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Monte Carlo codes can produce highly precise wrong answers. The probability of this occurring is increased if production codes are run as opaque, 'black boxes' of software. This text attempts to make Monte Carlo into a comprehensible, usable tool for solving practical transport problems. It is suitable for advanced undergraduate and graduate students and researchers who wish to expand their knowledge of the Monte Carlo technique.
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