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Two Approaches To Accelerated Monte Carlo Simulation Of Coulomb Collisions
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Book Synopsis Two Approaches to Accelerated Monte Carlo Simulation of Coulomb Collisions by : Lee Forrest Ricketson
Download or read book Two Approaches to Accelerated Monte Carlo Simulation of Coulomb Collisions written by Lee Forrest Ricketson and published by . This book was released on 2014 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: In plasma physics, the direct simulation of inter-particle Coulomb collisions is often necessary to capture the relevant physics, but presents a computational bottleneck because of the complexity of the process. In this thesis, we derive, test and discuss two methods for accelerating the simulation of collisions in plasmas in certain scenarios. The first is a hybrid fluid-Monte Carlo scheme that reduces the number of collisions that must be simulated. Coupling between the fluid and particle components of the scheme is accomplished by assigning to each particle a passive scalar approximating the relative entropy between its distribution of velocities and the fluid distribution. When this quantity is sufficiently small, the particle is moved into the fluid so its associated collisions need not be simulated. The second method is an adaptation of the multilevel Monte Carlo method. Instead of a single time step, this method introduces a hierarchy of time steps - i.e. levels - and uses the interplay between adjacent levels for variance reduction. We present new applications to plasmas, a method for eliminating the cost of the coarsest level calculation, and an alternative method for achieving the optimal overall computational complexity. Throughout, we discuss applications beyond plasma physics, including rarefied gases and chemical reaction networks.
Book Synopsis Multilevel Monte Carlo Simulation of Coulomb Collisions by :
Download or read book Multilevel Monte Carlo Simulation of Coulomb Collisions written by and published by . This book was released on 2014 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a new, for plasma physics, highly efficient multilevel Monte Carlo numerical method for simulating Coulomb collisions. The method separates and optimally minimizes the finite-timestep and finite-sampling errors inherent in the Langevin representation of the Landau-Fokker-Planck equation. It does so by combining multiple solutions to the underlying equations with varying numbers of timesteps. For a desired level of accuracy [epsilon], the computational cost of the method is O([epsilon]-2) or ([epsilon]-2(ln[epsilon])2), depending on the underlying discretization, Milstein or Euler-Maruyama respectively. This is to be contrasted with a cost of O([epsilon]-3) for direct simulation Monte Carlo or binary collision methods. We successfully demonstrate the method with a classic beam diffusion test case in 2D, making use of the Lévy area approximation for the correlated Milstein cross terms, and generating a computational saving of a factor of 100 for [epsilon]=10-5. Lastly, we discuss the importance of the method for problems in which collisions constitute the computational rate limiting step, and its limitations.
Book Synopsis Quantum Monte Carlo Methods in Physics and Chemistry by : M.P. Nightingale
Download or read book Quantum Monte Carlo Methods in Physics and Chemistry written by M.P. Nightingale and published by Springer Science & Business Media. This book was released on 1998-12-31 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been a considerable growth in interest in Monte Carlo methods, and quantum Monte Carlo methods in particlular. Clearly, the ever-increasing computational power available to researchers, has stimulated the development of improved algorithms, and almost all fields in computational physics and chemistry are affected by their applications. Here we just mention some fields that are covered in the lecture notes contained in this volume, viz. electronic structure studies of atoms, molecules and solids, nuclear structure, and low- or zero-temperature studies of strongly-correlated quantum systems, both of the continuum and lattice variety, and cooperative phenomena in classical systems. Although each area of application may have its own peculiarities, requiring specialized solutions, all share the same basic methodology. It was with the intention of bringing together researchers and students from these various areas that the NATO Advanced Study Institute on Quantum Monte Carlo Methods in Physics and Chemistry was held at Cornell University from 12 to 24 July, 1998. This book contains material presented at the Institute in a series of mini courses in quantum Monte Carlo methods. The program consisted of lectures predominantly of a pedagogical nature, and of more specialized seminars. The levels varied from introductory to advanced, and from basic methods to applications; the program was intended for an audience working towards the Ph.D. level and above. Despite the essentially pedagogic nature of the Institute, several of the lectures and seminars contained in this volume present recent developments not previously published.
Book Synopsis A Monte Carlo Simulation of Coulomb Collisions and Wave-particle Interactions in Space Plasma at High Latitudes by : Imad Ahmad Barghouthi
Download or read book A Monte Carlo Simulation of Coulomb Collisions and Wave-particle Interactions in Space Plasma at High Latitudes written by Imad Ahmad Barghouthi and published by . This book was released on 1994 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Four studies were considered to simulate the ion behavior in the auroral region and the polar wind.
Book Synopsis Quantum Monte Carlo Methods in Condensed Matter Physics by : Masuo Suzuki
Download or read book Quantum Monte Carlo Methods in Condensed Matter Physics written by Masuo Suzuki and published by World Scientific. This book was released on 1993 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews recent developments of quantum Monte Carlo methods and some remarkable applications to interacting quantum spin systems and strongly correlated electron systems. It contains twenty-two papers by thirty authors. Some of the features are as follows. The first paper gives the foundations of the standard quantum Monte Carlo method, including some recent results on higher-order decompositions of exponential operators and ordered exponentials. The second paper presents a general review of quantum Monte Carlo methods used in the present book. One of the most challenging problems in the field of quantum Monte Carlo techniques, the negative-sign problem, is also discussed and new methods proposed to partially overcome it. In addition, low-dimensional quantum spin systems are studied. Some interesting applications of quantum Monte Carlo methods to fermion systems are also presented to investigate the role of strong correlations and fluctuations of electrons and to clarify the mechanism of high-c superconductivity. Not only thermal properties but also quantum-mechanical ground-state properties have been studied by the projection technique using auxiliary fields. Further, the Haldane gap is confirmed by numerical calculations. Active researchers in the forefront of condensed matter physics as well as young graduate students who want to start learning the quantum Monte Carlo methods will find this book useful.
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 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. This book was released on 1986 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addenda after each chapter
Book Synopsis Monte Carlo Particle Simulation and Finite-element Techniques for Tandem Mirror Transport by :
Download or read book Monte Carlo Particle Simulation and Finite-element Techniques for Tandem Mirror Transport written by and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A description is given of numerical methods used in the study of axial transport in tandem mirrors owing to Coulomb collisions and rf diffusion. The methods are Monte Carlo particle simulations and direct solution to the Fokker-Planck equations by finite-element expansion. 11 refs.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Advanced Monte Carlo for Radiation Physics, Particle Transport Simulation and Applications by : Andreas Kling
Download or read book Advanced Monte Carlo for Radiation Physics, Particle Transport Simulation and Applications written by Andreas Kling and published by Springer. This book was released on 2001-10-02 with total page 1224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis First Collision Source Method for Coupling Monte Carlo and Discrete Ordinates for Localized Source Problems by :
Download or read book First Collision Source Method for Coupling Monte Carlo and Discrete Ordinates for Localized Source Problems written by and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A difficult class of problems for the discrete-ordinates neutral particle transport method is to accurately compute the flux due to a spatially localized source. Because the transport equation is solved for discrete directions, the so-called ray effect causes the flux at space points far from the source to be inaccurate. Thus, in general, discrete ordinates would not be the method of choice to solve such problems. It is better suited for calculating problems with significant scattering. The Monte Carlo method is suited to localized source problems, particularly if the amount of collisional interactions in minimal. However, if there are many scattering collisions and the flux at all space points is desired, then the Monte Carlo method becomes expensive. To take advantage of the attributes of both approaches, we have devised a first collision source method to combine the Monte Carlo and discrete-ordinates solutions. That is, particles are tracked from the source to their first scattering collision and tallied to produce a source for the discrete-ordinates calculation. A scattered flux is then computed by discrete ordinates, and the total flux is the sum of the Monte Carlo and discrete ordinates calculated fluxes. In this paper, we present calculational results using the MCNP and TWODANT codes for selected two-dimensional problems that show the effectiveness of this method.
Book Synopsis Coulomb Interactions in Particle Beams by : G. H. Jansen
Download or read book Coulomb Interactions in Particle Beams written by G. H. Jansen and published by . This book was released on 1990 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Plasma Physics via Computer Simulation by : C.K. Birdsall
Download or read book Plasma Physics via Computer Simulation written by C.K. Birdsall and published by CRC Press. This book was released on 2018-10-08 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Divided into three main parts, the book guides the reader to an understanding of the basic concepts in this fascinating field of research. Part 1 introduces you to the fundamental concepts of simulation. It examines one-dimensional electrostatic codes and electromagnetic codes, and describes the numerical methods and analysis. Part 2 explores the mathematics and physics behind the algorithms used in Part 1. In Part 3, the authors address some of the more complicated simulations in two and three dimensions. The book introduces projects to encourage practical work Readers can download plasma modeling and simulation software — the ES1 program — with implementations for PCs and Unix systems along with the original FORTRAN source code. Now available in paperback, Plasma Physics via Computer Simulation is an ideal complement to plasma physics courses and for self-study.
Book Synopsis Laser-Plasma Interactions and Applications by : Paul McKenna
Download or read book Laser-Plasma Interactions and Applications written by Paul McKenna and published by Springer Science & Business Media. This book was released on 2013-03-29 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Laser-Plasma Interactions and Applications covers the fundamental and applied aspects of high power laser-plasma physics. With an internationally renowned team of authors, the book broadens the knowledge of young researchers working in high power laser-plasma science by providing them with a thorough pedagogical grounding in the interaction of laser radiation with matter, laser-plasma accelerators, and inertial confinement fusion. The text is organised such that the theoretical foundations of the subject are discussed first, in Part I. In Part II, topics in the area of high energy density physics are covered. Parts III and IV deal with the applications to inertial confinement fusion and as a driver of particle and radiation sources, respectively. Finally, Part V describes the principle diagnostic, targetry, and computational approaches used in the field. This book is designed to give students a thorough foundation in the fundamental physics of laser-plasma interactions. It will also provide readers with knowledge of the latest research trends and elucidate future exciting challenges in laser-plasma science.
Book Synopsis Introduction to Complex Plasmas by : Michael Bonitz
Download or read book Introduction to Complex Plasmas written by Michael Bonitz and published by Springer Science & Business Media. This book was released on 2010-07-29 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex plasmas differ from traditional plasmas in many ways: these are low-temperature high pressure systems containing nanometer to micrometer size particles which may be highly charged and strongly interacting. The particles may be chemically reacting or be in contact with solid surfaces, and the electrons may show quantum behaviour. These interesting properties have led to many applications of complex plasmas in technology, medicine and science. Yet complex plasmas are extremely complicated, both experimentally and theoretically, and require a variety of new approaches which go beyond standard plasma physics courses. This book fills this gap presenting an introduction to theory, experiment and computer simulation in this field. Based on tutorial lectures at a very successful recent Summer Institute, the presentation is ideally suited for graduate students, plasma physicists and experienced undergraduates.
Book Synopsis Electron Dynamics of Diode Regions by : Charles K. Birdsall
Download or read book Electron Dynamics of Diode Regions written by Charles K. Birdsall and published by Elsevier. This book was released on 1966-01-01 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electron Dynamics of Diode Regions describes the model construction and analysis of motion of charged particles of diode regions in time-varying fields. The models analyzed are simplified versions of parts of practical devices, primarily active microwave devices, tubes, and semiconductor amplifiers, while the most striking results obtained are due to electron inertia and space-charge effects in terms of laboratory observable. This book is composed of seven chapters, and begins with an introduction to the general concepts of time dependent flow, including induced current, the techniques of linearization, calculating variational transit time, and obtaining equivalent circuits. The following chapters present the classical linear analysis, which includes the space-charge effects, with several applications. These chapters also explore the existence of a maximum stable current in a space-charge limited diode. The discussion then shifts to the basics of high velocity, klystron, gap with nonuniform field distributions, and the application of the multicavity klystron. This text further covers the analysis and examples of crossed-field gaps. The final chapters deal with the fundamentals of velocity and current distributions obtained from common electron emitters, with some attempt to show how the multivelocity streams evolve into single-velocity equivalents needed for the methods of earlier chapters. Results of applying the Lagrangian starting analysis to semiconductor diode regions, necessarily from a new equation of motion, are also provided. This book is intended for graduate courses, seminars, and research studies.
Book Synopsis Physics and Applications of Hydrogen Negative Ion Sources by : Marthe Bacal
Download or read book Physics and Applications of Hydrogen Negative Ion Sources written by Marthe Bacal and published by Springer Nature. This book was released on 2023-05-10 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive overview of hydrogen negative ion sources and their applications to particle acceleration and nuclear fusion. The book begins with fundamental aspects of negative ion production by volume and surface processes in hydrogen and its isotopes. It covers key topics, such as the need for separation of negative ion production and extraction regions, the need for lowering the work function of the plasma electrode by using caesium vapor or special materials for caesium-free sources, and the ion extractor structure required for hydrogen negative ion sources. Chapters covering various specific ion sources and applications are written by scientists who participated in their development and include sources for accelerators and for neutral beam injection into controlled nuclear fusion reactors.
