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Mathematical Methods In Particle Transport Theory


Mathematical Methods In Particle Transport Theory
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Mathematical Methods In Particle Transport Theory


Mathematical Methods In Particle Transport Theory
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Author : Michael Maurice Rudolph Williams
language : en
Publisher: Butterworths
Release Date : 1971

Mathematical Methods In Particle Transport Theory written by Michael Maurice Rudolph Williams and has been published by Butterworths this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.




Mathematical Methods In Particle Transport Theory


Mathematical Methods In Particle Transport Theory
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Author : Williams
language : en
Publisher:
Release Date : 1971-01-01

Mathematical Methods In Particle Transport Theory written by Williams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-01 with categories.




Linear Kinetic Theory And Particle Transport In Stochastic Mixtures


Linear Kinetic Theory And Particle Transport In Stochastic Mixtures
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Author : Gerald C. Pomraning
language : en
Publisher: World Scientific
Release Date : 1991

Linear Kinetic Theory And Particle Transport In Stochastic Mixtures written by Gerald C. Pomraning and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.


This book deals with neutral particle flow in a stochastic mixture consisting of two or more immiscible fluids. After giving an introduction to linear kinetic theory and particle transport in a nonstochastic setting, it discusses recent formulations for particle flow through a background material whose properties are only known in a statistical sense. The mixing descriptions considered are both Markovian and renewal statistics. Various models and exact results are presented for the ensemble average of the intensity in such stochastic mixtures. In the Markovian case, the underlying kinetic description is the integro-differential transport equation, whereas for renewal statistics the natural starting point is the purely integral formulation of transport theory.



Monte Carlo Methods For Particle Transport


Monte Carlo Methods For Particle Transport
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Author : Alireza Haghighat
language : en
Publisher: CRC Press
Release Date : 2020-08-09

Monte Carlo Methods For Particle Transport written by Alireza Haghighat and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-09 with Mathematics categories.


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



Computational Methods For Two Phase Flow And Particle Transport


Computational Methods For Two Phase Flow And Particle Transport
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Author : Wen Ho Lee
language : en
Publisher: World Scientific Publishing Company
Release Date : 2013-03-22

Computational Methods For Two Phase Flow And Particle Transport written by Wen Ho Lee and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-22 with Science categories.


This book describes mathematical formulations and computational methods for solving two-phase flow problems with a computer code that calculates thermal hydraulic problems related to light water and fast breeder reactors. The physical model also handles the particle and gas flow problems that arise from coal gasification and fluidized beds. The second part of this book deals with the computational methods for particle transport.



Mathematical Methods In Particle Transport Theory


Mathematical Methods In Particle Transport Theory
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Author : Michael Maurice Rudolph Williams
language : en
Publisher: Butterworths
Release Date : 1971

Mathematical Methods In Particle Transport Theory written by Michael Maurice Rudolph Williams and has been published by Butterworths this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.




Modern Mathematical Methods In Transport Theory


Modern Mathematical Methods In Transport Theory
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Author : Greenberg
language : en
Publisher: Birkhäuser
Release Date : 2013-11-22

Modern Mathematical Methods In Transport Theory written by Greenberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Science categories.


The Eleventh International Transport Theory Conference and Symposium in honor of the sixty-fifth birthday of Kenneth Case and the sixtieth birthday of Paul Zweifel was held in Blacksburg, Virginia, during May 22-26, 1989, on the campus of Virginia Polytechnic Institute and State University (Virginia Tech). This volume consists of a selection of the invited papers delivered at the Conference, and represents a cross section of the research currently being carried out in the field of transport theory. The volume is divided into two sections. The Symposium lectures are intended each to summarize an important aspect of transport theory, as well as to present timely new results of the author's research interest. The Conference lectures are contributions of each author on his current research. As has been the custom in this series of conferences, each lecturer was invited to participate by the organizing committee of the Conference: W. Greenberg, Virginia Tech, chairman; V. Boffi, Universita di Firenze; N. Corngold, California Institute of Technology; B. Ganapol, University of Arizona; N. McCormick, University of Washington; P. Nelson, Texas Tech; G. Pomraning, University of California, Los Angeles. The Eleventh International Transport Theory Conference was funded by generous con tributions from Science Applications International Corporation, R. Beyster, president, and from Virginia Polytechnic Institute and State University. Conference participants, and, we believe, researchers in this and related areas, are indebted to these organizations. We would like to thank Lamberto Rondoni, in the graduate program at Virginia Tech, for proofreading manuscripts of all the Italian contributors.



Scattering Theory For Transport Phenomena


Scattering Theory For Transport Phenomena
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Author : Hassan Emamirad
language : en
Publisher: Springer Nature
Release Date : 2021-06-27

Scattering Theory For Transport Phenomena written by Hassan Emamirad and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-27 with Science categories.


The scattering theory for transport phenomena was initiated by P. Lax and R. Phillips in 1967. Since then, great progress has been made in the field and the work has been ongoing for more than half a century. This book shows part of that progress. The book is divided into 7 chapters, the first of which deals with preliminaries of the theory of semigroups and C*-algebra, different types of semigroups, Schatten–von Neuman classes of operators, and facts about ultraweak operator topology, with examples using wavelet theory. Chapter 2 goes into abstract scattering theory in a general Banach space. The wave and scattering operators and their basic properties are defined. Some abstract methods such as smooth perturbation and the limiting absorption principle are also presented. Chapter 3 is devoted to the transport or linearized Boltzmann equation, and in Chapter 4 the Lax and Phillips formalism is introduced in scattering theory for the transport equation. In their seminal book, Lax and Phillips introduced the incoming and outgoing subspaces, which verify their representation theorem for a dissipative hyperbolic system initially and also matches for the transport problem. By means of these subspaces, the Lax and Phillips semigroup is defined and it is proved that this semigroup is eventually compact, hence hyperbolic. Balanced equations give rise to two transport equations, one of which can satisfy an advection equation and one of which will be nonautonomous. For generating, the Howland semigroup and Howland’s formalism must be used, as shown in Chapter 5. Chapter 6 is the highlight of the book, in which it is explained how the scattering operator for the transport problem by using the albedo operator can lead to recovery of the functionality of computerized tomography in medical science. The final chapter introduces the Wigner function, which connects the Schrödinger equation to statistical physics and the Husimi distribution function. Here, the relationship between the Wigner function and the quantum dynamical semigroup (QDS) can be seen.



Transport Theory


Transport Theory
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Author : Paul Nelson
language : en
Publisher: CRC Press
Release Date : 2023-05-31

Transport Theory written by Paul Nelson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-31 with Mathematics categories.


This book includes seminal papers on technical subjects—transport theory, invariant imbedding, and integral equations—presented as contributions to honour George Milt Wing in celebration of his 65th birth anniversary in 1988.



Fundamentals Of Charged Particle Transport In Gases And Condensed Matter


Fundamentals Of Charged Particle Transport In Gases And Condensed Matter
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Author : Robert Robson
language : en
Publisher: CRC Press
Release Date : 2017-09-27

Fundamentals Of Charged Particle Transport In Gases And Condensed Matter written by Robert Robson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-27 with Science categories.


This book offers a comprehensive and cohesive overview of transport processes associated with all kinds of charged particles, including electrons, ions, positrons, and muons, in both gases and condensed matter. The emphasis is on fundamental physics, linking experiment, theory and applications. In particular, the authors discuss: The kinetic theory of gases, from the traditional Boltzmann equation to modern generalizations A complementary approach: Maxwell’s equations of change and fluid modeling Calculation of ion-atom scattering cross sections Extension to soft condensed matter, amorphous materials Applications: drift tube experiments, including the Franck-Hertz experiment, modeling plasma processing devices, muon catalysed fusion, positron emission tomography, gaseous radiation detectors Straightforward, physically-based arguments are used wherever possible to complement mathematical rigor. Robert Robson has held professorial positions in Japan, the USA and Australia, and was an Alexander von Humboldt Fellow at several universities in Germany. He is a Fellow of the American Physical Society. Ronald White is Professor of Physics and Head of Physical Sciences at James Cook University, Australia. Malte Hildebrandt is Head of the Detector Group in the Laboratory of Particle Physics at the Paul Scherrer Institut, Switzerland.