Linear Kinetic Theory And Particle Transport In Stochastic Mixtures
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Linear Kinetic Theory And Particle Transport In Stochastic Mixtures
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Author : Gerald C Pomraning
language : en
Publisher: World Scientific
Release Date : 1991-12-31
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 1991-12-31 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.
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.
Linear Kinetic Theory And Particle Transport In Stochastic Mixtures
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Author : Gerald C. Pomraning
language : en
Publisher:
Release Date : 1997
Linear Kinetic Theory And Particle Transport In Stochastic Mixtures written by Gerald C. Pomraning and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Linear Kinetic Theory And Particle Transport In Stochastic Mixtures
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Author :
language : en
Publisher:
Release Date : 1994
Linear Kinetic Theory And Particle Transport In Stochastic Mixtures written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Linear Kinetic Theory And Particle Transport In Stochastic Mixtures Progress Report June 15 1993 March 21 1994
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Author :
language : en
Publisher:
Release Date : 1994
Linear Kinetic Theory And Particle Transport In Stochastic Mixtures Progress Report June 15 1993 March 21 1994 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
The primary goal in this research is to develop a comprehensive theory of linear transport/kinetic theory in a stochastic mixture of solids and immiscible fluids. The statistics considered correspond to N-state discrete random variables for the interaction coefficients and sources, with N denoting the number of components of the mixture. The mixing statistics studied are Markovian as well as more general statistics, such as renewal processes. A further goal of this work is to demonstrate the applicability of the formalism to real world engineering problems. This three year program was initiated June 15, 1993 and has been underway nine months. Many significant results have been obtained, both in the formalism development and in representative applications. These results are summarized by listing the archival publications resulting from this grant, including the abstracts taken directly from the papers.
Linear Kinetic Theory And Particle Transport In Stochastic Mixtures Third Year And Final Report June 15 1993 December 14 1996
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Author :
language : en
Publisher:
Release Date : 1997
Linear Kinetic Theory And Particle Transport In Stochastic Mixtures Third Year And Final Report June 15 1993 December 14 1996 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
The goal in this research was to continue the development of a comprehensive theory of linear transport/kinetic theory in a stochastic mixture of solids and immiscible fluids. Such a theory should predict the ensemble average and higher moments, such as the variance, of the particle or energy density described by the underlying transport/kinetic equation. The statistics studied correspond to N-state discrete random variables for the interaction coefficients and sources, with N denoting the number of components in the mixture. The mixing statistics considered were Markovian as well as more general statistics. In the absence of time dependence and scattering, the theory is well developed and described exactly by the master (Liouville) equation for Markovian mixing, and by renewal equations for non-Markovian mixing. The intent of this research was to generalize these treatments to include both time dependence and scattering. A further goal of this research was to develop approximate, but simpler, models from any comprehensive theory. In particular, a specific goal was to formulate a renormalized transport/kinetic theory of the usual nonstochastic form, but with effective interaction coefficients and sources to account for the stochastic nature of the problem. In the three and one-half year period of research summarized in this final report, they have made substantial progress in the development of a comprehensive theory of kinetic processes in stochastic mixtures. This progress is summarized in 16 archival journal articles, 7 published proceedings papers, and 2 comprehensive review articles. In addition, 17 oral presentations were made describing these research results.
Mathematical Methods In Electromagnetism Linear Theory And Applications
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Author : Michel Cessenat
language : en
Publisher: World Scientific
Release Date : 1996-07-13
Mathematical Methods In Electromagnetism Linear Theory And Applications written by Michel Cessenat and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-13 with Mathematics categories.
This book provides the reader with basic tools to solve problems of electromagnetism in their natural functional frameworks thanks to modern mathematical methods: integral surface methods, and also semigroups, variational methods, etc., well adapted to a numerical approach.As examples of applications of these tools and concepts, we solve several fundamental problems of electromagnetism, stationary or time-dependent: scattering of an incident wave by an obstacle, bounded or not, by gratings; wave propagation in a waveguide, with junctions and cascades. We hope that mathematical notions will allow a better understanding of modelization in electromagnetism and emphasize the essential features related to the geometry and nature of materials.
The Fokker Planck Equation For Stochastic Dynamical Systems And Its Explicit Steady State Solutions
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Author : Christian Soize
language : en
Publisher: World Scientific
Release Date : 1994
The Fokker Planck Equation For Stochastic Dynamical Systems And Its Explicit Steady State Solutions written by Christian Soize and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
This is an analysis of multidimensional nonlinear dissipative Hamiltonian dynamical systems subjected to parametric and external stochastic excitations by the Fokker-Planck equation method.The author answers three types of questions concerning this area. First, what probabilistic tools are necessary for constructing a stochastic model and deriving the FKP equation for nonlinear stochastic dynamical systems? Secondly, what are the main results concerning the existence and uniqueness of an invariant measure and its associated stationary response? Finally, what is the class of multidimensional dynamical systems that have an explicit invariant measure and what are the fundamental examples for applications?
Advances In Nuclear Science And Technology
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Author : Jeffery Lewins
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-18
Advances In Nuclear Science And Technology written by Jeffery Lewins and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-18 with Science categories.
Some countries have moved beyond the design and operation of nuclear electricity generating systems to confronting the issue of nuclear waste disposal, whole others are still committed to further nuclear facility construction. Volume 24 chronicles these key developments and examines nuclear reactor accidents at Chernobyl, Bhopal, and TMI. The text also analyzes current international knowledge of neutron interactions; deterministic methods based on mean values for assessing radiation distributions; practical applications of the TIBERE models to explicit computation of leakage terms in realistic reactor geometry; and a technique to deal with the issues of finance, risk assessment, and public perception.
Multigroup Equations For The Description Of The Particle Transport In Semiconductors
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Author : Martin Galler
language : en
Publisher: World Scientific
Release Date : 2005
Multigroup Equations For The Description Of The Particle Transport In Semiconductors written by Martin Galler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Technology & Engineering categories.
Deterministic simulation of the particle transport in semiconductor devices is an interesting alternative to the common Monte Carlo approach. In this book, a state-of-the-art technique called the multigroup approach is presented and applied to a variety of transport problems in bulk semiconductors and semiconductor devices. High-field effects as well as hot-phonon phenomena in polar semiconductors are studied in detail. The mathematical properties of the presented numerical method are studied, and the method is applied to simulating the transport of a two-dimensional electron gas formed at a semiconductor heterostructure. Concerning semiconductor device simulation, several diodes and transistors fabricated of silicon and gallium arsenide are investigated. For all of these simulations, the numerical techniques employed are discussed in detail. This unique study of the application of direct methods for semiconductor device simulation provides the interested reader with an indispensable reference on this growing research area.