Monte Carlo Methods for Particle Transport  book cover
2nd Edition

Monte Carlo Methods for Particle Transport

ISBN 9780367188054
Published August 10, 2020 by CRC Press
310 Pages 83 B/W Illustrations

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Book Description

Fully updated with the latest developments in the eigenvalue Monte Carlo calculations and automatic variance reduction techniques and containing an entirely new chapter on fission matrix and alternative hybrid techniques. This second edition explores the uses of the Monte Carlo method for real-world applications, explaining its concepts and limitations. Featuring illustrative examples, mathematical derivations, computer algorithms, and homework problems, it is an ideal textbook and practical guide for nuclear engineers and scientists looking into the applications of the Monte Carlo method, in addition to students in physics and engineering, and those engaged in the advancement of the Monte Carlo methods.

  • Describes general and particle-transport-specific automated variance reduction techniques
  • Presents Monte Carlo particle transport eigenvalue issues and methodologies to address these issues
  • Presents detailed derivation of existing and advanced formulations and algorithms with real-world examples from the author’s research activities

Table of Contents

Chapter 1. Introduction

Chapter 2. Random Variables and Sampling

Chapter 3. Random Number Generator (RNG)

Chapter 4. Fundamentals of Probability and Statistics

Chapter 5. Integrals and Associated Variance Reduction Techniques

Chapter 6. Fixed-Source Monte Carlo Particle Transport

Chapter 7. Variance Reducation Techniques or Fixed-Source Particles

Chapter 8. Scoring/ Tallying

Chapter 9. Geometry and Particle Tracking

Chpater 10. Eigenvalue (Criticality) Monte Carlo Method for Particle Transport

Chapter 11. Fission Matrix Methods for Eigenvalue Monte Carlo Simulation

Chapter 12. Vector and Parallel Processing of Monte Carlo Particle Transport

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Dr. Alireza Haghighat is professor and Director of Nuclear Engineering Program, Virginia Tech. He is a fellow of the American Nuclear Society. He has made pioneering contributions to the development of accurate and efficient deterministic, stochastic, and hybrid particle transport theory methods and their application to complex problems in nuclear reactors, nuclear security and radiation diagnosis and therapy.


 When we decided to offer a new senior undergraduate level course on Monte Carlo in the nuclear

engineering department at North Carolina State University, we easily decided to choose the Monte Carlo

book by Dr. Haghighat since it came so highly recommended. One of things we liked most about this

book is the way the topics are structured. The first seven chapters mainly cover the fundamental

theories of Monte Carlo methods for particle transport. While the last five chapters present more

advanced theories, they can be seamlessly coupled with hands-on training with industry standard

Monte Carlo codes (in our course we selected MCNP6.2).

We easily designed our course following the general outline of this book. Furthermore, the course

materials have been refined and improved many times based on Dr. Haghighat's many years of teaching

experience, as well as comments from students, practitioners, and reviewers. They are well explained

and cover almost all the essential concepts in Monte Carlo. For the first half of the semester that

focused on Monte Carlo methods, the course work assignments were mainly programming-based

homework problems (mostly taken from the exercises in the book). Dr. Haghighat designed these

exercises so well that they can not only strengthen the students' understanding, but also inspire their

critical thinking. We highly recommend this textbook for senior undergraduate students, graduate

students and researchers who are interested in Monte Carlo applications on radiation transport.

- Professors Xu Wu and John Zino, North Carolina State University, USA.