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Monte Carlo Methods for Particle Transport

Monte Carlo Methods for Particle Transport Author Alireza Haghighat
ISBN-10 9781466592544
Release 2016-04-19
Pages 272
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The Monte Carlo method has become the de facto standard in radiation transport. Although powerful, if not understood and used appropriately, the method can give misleading results. Monte Carlo Methods for Particle Transport teaches appropriate use of the Monte Carlo method, explaining the method’s fundamental concepts as well as its limitations. Concise yet comprehensive, this well-organized text: Introduces the particle importance equation and its use for variance reduction Describes general and particle-transport-specific variance reduction techniques Presents particle transport eigenvalue issues and methodologies to address these issues Explores advanced formulations based on the author’s research activities Discusses parallel processing concepts and factors affecting parallel performance Featuring illustrative examples, mathematical derivations, computer algorithms, and homework problems, Monte Carlo Methods for Particle Transport provides nuclear engineers and scientists with a practical guide to the application of the Monte Carlo method.

Advanced Monte Carlo for Radiation Physics Particle Transport Simulation and Applications

Advanced Monte Carlo for Radiation Physics  Particle Transport Simulation and Applications Author Andreas Kling
ISBN-10 9783642182112
Release 2014-02-22
Pages 1192
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This book focuses on the state of the art of Monte Carlo methods in radiation physics and particle transport simulation and applications. Special attention is paid to algorithm development for modeling, and the analysis of experiments and measurements in a variety of fields.

Monte Carlo Particle Transport Methods

Monte Carlo Particle Transport Methods Author I. Lux
ISBN-10 9781351091732
Release 2018-05-04
Pages 529
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With this book we try to reach several more-or-less unattainable goals namely: To compromise in a single book all the most important achievements of Monte Carlo calculations for solving neutron and photon transport problems. To present a book which discusses the same topics in the three levels known from the literature and gives us useful information for both beginners and experienced readers. It lists both well-established old techniques and also newest findings.

Exploring Monte Carlo Methods

Exploring Monte Carlo Methods Author William L. Dunn
ISBN-10 0080930611
Release 2011-05-24
Pages 398
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Exploring Monte Carlo Methods is a basic text that describes the numerical methods that have come to be known as "Monte Carlo." The book treats the subject generically through the first eight chapters and, thus, should be of use to anyone who wants to learn to use Monte Carlo. The next two chapters focus on applications in nuclear engineering, which are illustrative of uses in other fields. Five appendices are included, which provide useful information on probability distributions, general-purpose Monte Carlo codes for radiation transport, and other matters. The famous "Buffon’s needle problem" provides a unifying theme as it is repeatedly used to illustrate many features of Monte Carlo methods. This book provides the basic detail necessary to learn how to apply Monte Carlo methods and thus should be useful as a text book for undergraduate or graduate courses in numerical methods. It is written so that interested readers with only an understanding of calculus and differential equations can learn Monte Carlo on their own. Coverage of topics such as variance reduction, pseudo-random number generation, Markov chain Monte Carlo, inverse Monte Carlo, and linear operator equations will make the book useful even to experienced Monte Carlo practitioners. Provides a concise treatment of generic Monte Carlo methods Proofs for each chapter Appendixes include Certain mathematical functions; Bose Einstein functions, Fermi Dirac functions, Watson functions

Monte Carlo Methods for Radiation Transport

Monte Carlo Methods for Radiation Transport Author Oleg N. Vassiliev
ISBN-10 9783319441412
Release 2016-10-17
Pages 281
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This book is a guide to the use of Monte Carlo techniques in radiation transport. This topic is of great interest for medical physicists. Praised as a "gold standard" for accurate radiotherapy dose calculations, Monte Carlo has stimulated a high level of research activity that has produced thousands of papers within the past few years. The book is designed primarily to address the needs of an academically inclined medical physicist who wishes to learn the technique, as well as experienced users of standard Monte Carlo codes who wish to gain insight into the underlying mathematics of Monte Carlo algorithms. The book focuses on the fundamentals—giving full attention to and explaining the very basic concepts. It also includes advanced topics and covers recent advances such as transport of charged particles in magnetic fields and the grid-based solvers of the Boltzmann equation.

Particle transport Simulation with the Monte Carlo Method

Particle transport Simulation with the Monte Carlo Method Author
ISBN-10 OCLC:727188934
Release 1975
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Attention is focused on the application of the Monte Carlo method to particle transport problems, with emphasis on neutron and photon transport. Topics covered include sampling methods, mathematical prescriptions for simulating particle transport, mechanics of simulating particle transport, neutron transport, and photon transport. A literature survey of 204 references is included. (GMT).

Rare Event Simulation using Monte Carlo Methods

Rare Event Simulation using Monte Carlo Methods Author Gerardo Rubino
ISBN-10 047074541X
Release 2009-03-18
Pages 278
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In a probabilistic model, a rare event is an event with a very small probability of occurrence. The forecasting of rare events is a formidable task but is important in many areas. For instance a catastrophic failure in a transport system or in a nuclear power plant, the failure of an information processing system in a bank, or in the communication network of a group of banks, leading to financial losses. Being able to evaluate the probability of rare events is therefore a critical issue. Monte Carlo Methods, the simulation of corresponding models, are used to analyze rare events. This book sets out to present the mathematical tools available for the efficient simulation of rare events. Importance sampling and splitting are presented along with an exposition of how to apply these tools to a variety of fields ranging from performance and dependability evaluation of complex systems, typically in computer science or in telecommunications, to chemical reaction analysis in biology or particle transport in physics. Graduate students, researchers and practitioners who wish to learn and apply rare event simulation techniques will find this book beneficial.

A Variationally based Variance Reduction Method for Monte Carlo Particle Transport Problems

A Variationally based Variance Reduction Method for Monte Carlo Particle Transport Problems Author Carla Lynn Barrett
ISBN-10 UOM:39015042635220
Release 1999
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A Variationally based Variance Reduction Method for Monte Carlo Particle Transport Problems has been writing in one form or another for most of life. You can find so many inspiration from A Variationally based Variance Reduction Method for Monte Carlo Particle Transport Problems also informative, and entertaining. Click DOWNLOAD or Read Online button to get full A Variationally based Variance Reduction Method for Monte Carlo Particle Transport Problems book for free.

A Monte Carlo Primer

A Monte Carlo Primer Author Stephen A. Dupree
ISBN-10 0306485036
Release 2004-05-01
Pages 230
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This book is a companion volume to its predecessor, A Monte Carlo Primer, A Practical Approach to Radiation Transport. As indicated by its title, this volume provides solutions to the exercises in the Primer. However, it also provides a great deal more. Each of the exercises is discussed in detail and, where appropriate, is repeatedly solved using a variety of techniques and approaches. Many of the exercises are deceptively simple, and the reader is led through the thought processes that unravel this simplicity and show the depth of insight that can be obtained by careful analysis. Emphasis is placed on offering the reader a clear and thorough development of the knowledge and insights that can be gained by solving each problem and, as emphasized in the Primer, on the need to confirm that the particle tracking that is the basis of each candidate solution has adequately sampled the regions of phase space that are important to the result. This volume is a useful and valuable companion to the Primer and offers the reader the opportunity to pursue the topics presented in the Primer to greater depth than was possible in that volume. A compact disc containing all of the software presented in both the Primer and the Solutions is included in this volume for the convenience of the user.

Monte Carlo Transport of Electrons and Photons

Monte Carlo Transport of Electrons and Photons Author T.M. Jenkins
ISBN-10 9781461310594
Release 2012-12-06
Pages 656
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For ten days at the end of September, 1987, a group of about 75 scientists from 21 different countries gathered in a restored monastery on a 750 meter high piece of rock jutting out of the Mediterranean Sea to discuss the simulation of the transport of electrons and photons using Monte Carlo techniques. When we first had the idea for this meeting, Ralph Nelson, who had organized a previous course at the "Ettore Majorana" Centre for Scientific Culture, suggested that Erice would be the ideal place for such a meeting. Nahum, Nelson and Rogers became Co-Directors of the Course, with the help of Alessandro Rindi, the Director of the School of Radiation Damage and Protection, and Professor Antonino Zichichi, Director of the "Ettore Majorana" Centre. The course was an outstanding success, both scientifically and socially, and those at the meeting will carry the marks of having attended, both intellectually and on a personal level where many friendships were made. The scientific content of the course was at a very high caliber, both because of the hard work done by all the lecturers in preparing their lectures (e. g. , complete copies of each lecture were available at the beginning of the course) and because of the high quality of the "students", many of whom were accomplished experts in the field. The outstanding facilities of the Centre contributed greatly to the success. This volume contains the formal record of the course lectures.

Computational Many Particle Physics

Computational Many Particle Physics Author Holger Fehske
ISBN-10 9783540746850
Release 2007-12-07
Pages 780
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Looking for the real state of play in computational many-particle physics? Look no further. This book presents an overview of state-of-the-art numerical methods for studying interacting classical and quantum many-particle systems. A broad range of techniques and algorithms are covered, and emphasis is placed on their implementation on modern high-performance computers. This excellent book comes complete with online files and updates allowing readers to stay right up to date.

Monte Carlo Techniques in Radiation Therapy

Monte Carlo Techniques in Radiation Therapy Author Joao Seco
ISBN-10 9781466507944
Release 2016-04-19
Pages 342
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Modern cancer treatment relies on Monte Carlo simulations to help radiotherapists and clinical physicists better understand and compute radiation dose from imaging devices as well as exploit four-dimensional imaging data. With Monte Carlo-based treatment planning tools now available from commercial vendors, a complete transition to Monte Carlo-based dose calculation methods in radiotherapy could likely take place in the next decade. Monte Carlo Techniques in Radiation Therapy explores the use of Monte Carlo methods for modeling various features of internal and external radiation sources, including light ion beams. The book—the first of its kind—world examples, it illustrates the use of Monte Carlo modeling and simulations in dose calculation, beam delivery, kilovoltage and megavoltage imaging, proton radiography, device design, and much more.

Interaction of Radiation with Matter

Interaction of Radiation with Matter Author Hooshang Nikjoo
ISBN-10 9781466509603
Release 2016-04-19
Pages 364
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Interaction of Radiation with Matter focuses on the physics of the interactions of ionizing radiation in living matter and the Monte Carlo simulation of radiation tracks. Clearly progressing from an elementary level to the state of the art, the text explores the classical physics of track description as well as modern aspects based on condensed matter physics. The first section of the book discusses the fundamentals of the radiation field. In the second section, the authors describe the cross sections for electrons and heavy ions—the most important information needed for simulating radiation track at the molecular level. The third section details the inelastic scattering and energy loss of charged particles in condensed media, particularly liquid water. The final section contains a large number of questions and problems to reinforce learning. Designed for radiation interaction courses, this textbook is the ideal platform for teaching students in medical/health physics and nuclear engineering. It gives students a solid grounding in the physical understanding of radiation track structure in living matter, enabling them to pursue further work in radiological physics and radiation dosimetry.

Mean Field Simulation for Monte Carlo Integration

Mean Field Simulation for Monte Carlo Integration Author Pierre Del Moral
ISBN-10 9781466504059
Release 2013-05-20
Pages 626
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In the last three decades, there has been a dramatic increase in the use of interacting particle methods as a powerful tool in real-world applications of Monte Carlo simulation in computational physics, population biology, computer sciences, and statistical machine learning. Ideally suited to parallel and distributed computation, these advanced particle algorithms include nonlinear interacting jump diffusions; quantum, diffusion, and resampled Monte Carlo methods; Feynman-Kac particle models; genetic and evolutionary algorithms; sequential Monte Carlo methods; adaptive and interacting Markov chain Monte Carlo models; bootstrapping methods; ensemble Kalman filters; and interacting particle filters. Mean Field Simulation for Monte Carlo Integration presents the first comprehensive and modern mathematical treatment of mean field particle simulation models and interdisciplinary research topics, including interacting jumps and McKean-Vlasov processes, sequential Monte Carlo methodologies, genetic particle algorithms, genealogical tree-based algorithms, and quantum and diffusion Monte Carlo methods. Along with covering refined convergence analysis on nonlinear Markov chain models, the author discusses applications related to parameter estimation in hidden Markov chain models, stochastic optimization, nonlinear filtering and multiple target tracking, stochastic optimization, calibration and uncertainty propagations in numerical codes, rare event simulation, financial mathematics, and free energy and quasi-invariant measures arising in computational physics and population biology. This book shows how mean field particle simulation has revolutionized the field of Monte Carlo integration and stochastic algorithms. It will help theoretical probability researchers, applied statisticians, biologists, statistical physicists, and computer scientists work better across their own disciplinary boundaries.

Monte Carlo Principles and Neutron Transport Problems

Monte Carlo Principles and Neutron Transport Problems Author Jerome Spanier
ISBN-10 9780486462936
Release 2008
Pages 244
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This two-part treatment introduces the general principles of the Monte Carlo method within a unified mathematical point of view, applying them to problems in neutron transport. It describes several efficiency-enhancing approaches, including the method of superposition and simulation of the adjoint equation based on reciprocity. The first half of the book presents an exposition of the fundamentals of Monte Carlo methods, examining discrete and continuous random walk processes and standard variance reduction techniques. The second half of the text focuses directly on the methods of superposition and reciprocity, illustrating their applications to specific neutron transport problems. Topics include the computation of thermal neutron fluxes and the superposition principle in resonance escape computations.

Acceleration Methods for Monte Carlo Particle Transport Simulations

Acceleration Methods for Monte Carlo Particle Transport Simulations Author Lulu Li (Ph. D.)
ISBN-10 OCLC:1012938659
Release 2017
Pages 175
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Performing nuclear reactor core physics analysis is a crucial step in the process of both designing and understanding nuclear power reactors. Advancements in the nuclear industry demand more accurate and detailed results from reactor analysis. Monte Carlo (MC) eigenvalue neutron transport methods are uniquely qualified to provide these results, due to their accurate treatment of space, angle, and energy dependencies of neutron distributions. Monte Carlo eigenvalue simulations are, however, challenging, because they must resolve the fission source distribution and accumulate sufficient tally statistics, resulting in prohibitive run times. This thesis proposes the Low Order Operator (LOO) acceleration method to reduce the run time challenge, and provides analyses to support its use for full-scale reactor simulations. LOO is implemented in the continuous energy Monte Carlo code, OpenMC, and tested in 2D PWR benchmarks. The Low Order Operator (LOO) acceleration method is a deterministic transport method based on the Method of Characteristics. Similar to Coarse Mesh Finite Difference (CMFD), the other acceleration method evaluated in this thesis, LOO parameters are constructed from Monte Carlo tallies. The solutions to the LOO equations are then used to update Monte Carlo fission sources. This thesis deploys independent simulations to rigorously assess LOO, CMFD, and unaccelerated Monte Carlo, simulating up to a quarter of a trillion neutron histories for each simulation. Analysis and performance models are developed to address two aspects of the Monte Carlo run time challenge. First, this thesis demonstrates that acceleration methods can reduce the vast number of neutron histories required to converge the fission source distribution before tallies can be accumulated. Second, the slow convergence of tally statistics is improved with the acceleration methods for the earlier active cycles. A theoretical model is developed to explain the observed behaviors and predict convergence rates. Finally, numerical results and theoretical models shed light on the selection of optimal simulation parameters such that a desired statistical uncertainty can be achieved with minimum neutron histories. This thesis demonstrates that the conventional wisdom (e.g., maximizing the number of cycles rather than the number of neutrons per cycle) in performing unaccelerated MC simulations can be improved simply by using more optimal parameters. LOO acceleration provides reduction of a factor of at least 2.2 in neutron histories, compared to the unaccelerated Monte Carlo scheme, and the CPU time and memory overhead associated with LOO are small.

Therapeutic Applications of Monte Carlo Calculations in Nuclear Medicine

Therapeutic Applications of Monte Carlo Calculations in Nuclear Medicine Author H. Zaidi
ISBN-10 9781420033250
Release 2002-09-01
Pages 384
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Therapeutic Applications of Monte Carlo Calculations in Nuclear Medicine examines the applications of Monte Carlo (MC) calculations in therapeutic nuclear medicine, from basic principles to computer implementations of software packages and their applications in radiation dosimetry and treatment planning. With chapters written by recognized authorities in the field, the book covers the entire range of MC applications in therapeutic medical and health physics, from its use in imaging prior to therapy to dose distribution modeling in targeted radiotherapy. The contributors discuss the fundamental concepts of radiation dosimetry, radiobiological aspects of targeted radionuclide therapy, and the various components and steps required for implementing a dose calculation and treatment planning methodology in radioimmunotherapy. Several computer programs, such as MIRDOSE, MABDOS, and 3D-ID, are described and illustrated with some useful features and clinical applications. Other potential applications of MC techniques are discussed together with computing aspects of radiation transport calculations. The book is written for nuclear medicine physicists and physicians as well as radiation oncologists, and can serve as a supplementary text for medical imaging, radiation dosimetry, and nuclear engineering graduate courses in science, medical, and engineering institutions.