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Theory Of Fluctuations In Monte Carlo Solutions To The Boltzmann Transport Equation
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Book Synopsis Theory of Fluctuations in Monte Carlo Solutions to the Boltzmann Transport Equation by : Mohammad Dhjahed Djomehri
Download or read book Theory of Fluctuations in Monte Carlo Solutions to the Boltzmann Transport Equation written by Mohammad Dhjahed Djomehri and published by . This book was released on 1975 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Monte Carlo Methods for Transport and Diffusion Equations by : Bernard Lapeyre
Download or read book Introduction to Monte Carlo Methods for Transport and Diffusion Equations written by Bernard Lapeyre and published by OUP Oxford. This book was released on 2003 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is used by for the resolution of partial differential equations, trasnport equations, the Boltzmann equation and the parabolic equations of diffusion.
Book Synopsis Deterministic Solvers for the Boltzmann Transport Equation by : Sung-Min Hong
Download or read book Deterministic Solvers for the Boltzmann Transport Equation written by Sung-Min Hong and published by Springer Science & Business Media. This book was released on 2011-07-31 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers all aspects from the expansion of the Boltzmann transport equation with harmonic functions to application to devices, where transport in the bulk and in inversion layers is considered. The important aspects of stabilization and band structure mapping are discussed in detail. This is done not only for the full band structure of the 3D k-space, but also for the warped band structure of the quasi 2D hole gas. Efficient methods for building the Schrödinger equation for arbitrary surface or strain directions, gridding of the 2D k-space and solving it together with the other two equations are presented.
Book Synopsis Monte Carlo Methods for Solving the Boltzmann Transport Equation by : Kueng Yeh
Download or read book Monte Carlo Methods for Solving the Boltzmann Transport Equation written by Kueng Yeh and published by . This book was released on 1967 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Low Variance Methods for Monte Carlo Simulation of Phonon Transport by : Jean-Philippe Michel Péraud
Download or read book Low Variance Methods for Monte Carlo Simulation of Phonon Transport written by Jean-Philippe Michel Péraud and published by . This book was released on 2011 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational studies in kinetic transport are of great use in micro and nanotechnologies. In this work, we focus on Monte Carlo methods for phonon transport, intended for studies in microscale heat transfer. After reviewing the theory of phonons, we use scientific literature to write a Monte Carlo code solving the Boltzmann Transport Equation for phonons. As a first improvement to the particle method presented, we choose to use the Boltzmann Equation in terms of energy as a more convenient and accurate formulation to develop such a code. Then, we use the concept of control variates in order to introduce the notion of deviational particles. Noticing that a thermalized system at equilibrium is inherently a solution of the Boltzmann Transport Equation, we take advantage of this deterministic piece of information: we only simulate the deviation from a nearby equilibrium, which removes a great part of the statistical uncertainty. Doing so, the standard deviation of the result that we obtain is proportional to the deviation from equilibrium. In other words, we are able to simulate signals of arbitrarily low amplitude with no additional computational cost. After exploring two other variants based on the idea of control variates, we validate our code on a few theoretical results derived from the Boltzmann equation. Finally, we present a few applications of the methods.
Book Synopsis Iterative Forward-adjoint Monte Carlo Solutions of the Boltzmann Transport Equation by : Noel Ricky Byrn
Download or read book Iterative Forward-adjoint Monte Carlo Solutions of the Boltzmann Transport Equation written by Noel Ricky Byrn and published by . This book was released on 1976 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monte Carlo Particle Transport Methods by : I. Lux
Download or read book Monte Carlo Particle Transport Methods written by I. Lux and published by CRC Press. This book was released on 2018-05-04 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Monte Carlo Method for Solving Inverse Problems of Radiation Transfer by : V. S. Antyufeev
Download or read book Monte Carlo Method for Solving Inverse Problems of Radiation Transfer written by V. S. Antyufeev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Book Synopsis Monte Carlo Analysis of Quantum Transport and Fluctuations in Semiconductors by : Carlo Jacoboni
Download or read book Monte Carlo Analysis of Quantum Transport and Fluctuations in Semiconductors written by Carlo Jacoboni and published by . This book was released on 1986 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present report contains technical matter related to the research performed on two different subjects. The first part concerns with quantum transport in semiconductors. A unified review of the work already published in the literature is given together with some attempts to generalize Monte Carlo methods to quantum transport within the Liouville formulation. The second part concerns with fluctuations of carrier velocities and energies both in stationary and transient regime, described by means of the correlation-function method. An analysis of the results, obtained through a Monte Carlo procedure, for covalent and polar materials yields a deep physical picture of the effect of the scattering mechanisms (phonon and carrier-carrier interactions) on the transport properties. Keywords: Monte Carlo; Charge Transport; Quantum Transport; Fluctuations; Semiconductor Physics; Master Equation; Boltzmann Equation; Langevin Equation; Green Functions; Wigner Function; Drift Velocity; Mean Energy; Stationary Regimes; Transient Regimes; Diffusivity; Autocorrelation Functions; Relaxation effects; Electron electron Interaction.
Book Synopsis Monte Carlo Methods in Statistical Physics by : Kurt Binder
Download or read book Monte Carlo Methods in Statistical Physics written by Kurt Binder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the seven years since this volume first appeared. there has been an enormous expansion of the range of problems to which Monte Carlo computer simulation methods have been applied. This fact has already led to the addition of a companion volume ("Applications of the Monte Carlo Method in Statistical Physics", Topics in Current Physics. Vol . 36), edited in 1984, to this book. But the field continues to develop further; rapid progress is being made with respect to the implementation of Monte Carlo algorithms, the construction of special-purpose computers dedicated to exe cute Monte Carlo programs, and new methods to analyze the "data" generated by these programs. Brief descriptions of these and other developments, together with numerous addi tional references, are included in a new chapter , "Recent Trends in Monte Carlo Simulations" , which has been written for this second edition. Typographical correc tions have been made and fuller references given where appropriate, but otherwise the layout and contents of the other chapters are left unchanged. Thus this book, together with its companion volume mentioned above, gives a fairly complete and up to-date review of the field. It is hoped that the reduced price of this paperback edition will make it accessible to a wide range of scientists and students in the fields to which it is relevant: theoretical phYSics and physical chemistry , con densed-matter physics and materials science, computational physics and applied mathematics, etc.
Book Synopsis Monte Carlo Methods by : Malvin H. Kalos
Download or read book Monte Carlo Methods written by Malvin H. Kalos and published by John Wiley & Sons. This book was released on 2008-10-20 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to Monte Carlo methods seeks to identify and study the unifying elements that underlie their effective application. Initial chapters provide a short treatment of the probability and statistics needed as background, enabling those without experience in Monte Carlo techniques to apply these ideas to their research. The book focuses on two basic themes: The first is the importance of random walks as they occur both in natural stochastic systems and in their relationship to integral and differential equations. The second theme is that of variance reduction in general and importance sampling in particular as a technique for efficient use of the methods. Random walks are introduced with an elementary example in which the modeling of radiation transport arises directly from a schematic probabilistic description of the interaction of radiation with matter. Building on this example, the relationship between random walks and integral equations is outlined. The applicability of these ideas to other problems is shown by a clear and elementary introduction to the solution of the Schrodinger equation by random walks. The text includes sample problems that readers can solve by themselves to illustrate the content of each chapter. This is the second, completely revised and extended edition of the successful monograph, which brings the treatment up to date and incorporates the many advances in Monte Carlo techniques and their applications, while retaining the original elementary but general approach.
Book Synopsis Monte Carlo and Experimental Analyses of Nuclear Reactor Fluctuation Models by : Burt Alan Zolotar
Download or read book Monte Carlo and Experimental Analyses of Nuclear Reactor Fluctuation Models written by Burt Alan Zolotar and published by . This book was released on 1967 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Noise in Physical Systems and 1/f Fluctuations by : Gijs Bosman
Download or read book Noise in Physical Systems and 1/f Fluctuations written by Gijs Bosman and published by World Scientific. This book was released on 2001 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Noise in Physical Systems and 1/f Fluctuations brings together physicists and engineers interested in all aspects of noise and fluctuations in materials, devices, circuits, and physical and biological systems. The experimental research on novel devices and systems and the theoretical studies included in this volume provide the reader with a comprehensive, in-depth treatment of present noise research activities worldwide.
Book Synopsis Monte Carlo Methods for Radiation Transport by : Oleg N. Vassiliev
Download or read book Monte Carlo Methods for Radiation Transport written by Oleg N. Vassiliev and published by Springer. This book was released on 2016-10-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Physics and Mathematical Analysis for the TUT-T5 Monte Carlo Code by : Jerome Spanier
Download or read book The Physics and Mathematical Analysis for the TUT-T5 Monte Carlo Code written by Jerome Spanier and published by . This book was released on 1960 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monte Carlo Principles and Neutron Transport Problems by : Jerome Spanier
Download or read book Monte Carlo Principles and Neutron Transport Problems written by Jerome Spanier and published by Courier Corporation. This book was released on 2008-01-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Noise In Physical Systems And 1/f Fluctuations: Icnf 2001, Procs Of The 16th Intl Conf by : Gijs Bosman
Download or read book Noise In Physical Systems And 1/f Fluctuations: Icnf 2001, Procs Of The 16th Intl Conf written by Gijs Bosman and published by World Scientific. This book was released on 2001-08-20 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Noise in Physical Systems and 1/f Fluctuations brings together physicists and engineers interested in all aspects of noise and fluctuations in materials, devices, circuits, and physical and biological systems. The experimental research on novel devices and systems and the theoretical studies included in this volume provide the reader with a comprehensive, in-depth treatment of present noise research activities worldwide.
