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Particle Simulation Of Coulomb Collisions
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Book Synopsis Particle Simulation of Coulomb Collisions by :
Download or read book Particle Simulation of Coulomb Collisions written by and published by . This book was released on 2007 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interactions of charged particles in a plasma are in a plasma is governed by the long-range Coulomb collision. We compare two widely used Monte Carlo models for Coulomb collisions. One was developed by Takizuka and Abe in 1977, the other was developed by Nanbu in 1997. We perform deterministic and stochastic error analysis with respect to particle number and time step. The two models produce similar stochastic errors, but Nanbu's model gives smaller time step errors. Error comparisons between these two methods are presented.
Book Synopsis SELF-CONSISTENT LANGEVIN SIMULATION OF COULOMB COLLISIONS IN CHARGED-PARTICLE BEAMS. by :
Download or read book SELF-CONSISTENT LANGEVIN SIMULATION OF COULOMB COLLISIONS IN CHARGED-PARTICLE BEAMS. written by and published by . This book was released on 2000 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many plasma physics and charged-particle beam dynamics problems, Coulomb collisions are modeled by a Fokker-Planck equation. In order to incorporate these collisions, we present a three-dimensional parallel Langevin simulation method using a Particle-In-Cell (PIC) approach implemented on high-performance parallel computers. We perform, for the first time, a fully self-consistent simulation, in which the friction and diffusion coefficients are computed from first principles. We employ a two-dimensional domain decomposition approach within a message passing programming paradigm along with dynamic load balancing. Object oriented programming is used to encapsulate details of the communication syntax as well as to enhance reusability and extensibility. Performance tests on the SGI Origin 2000 and the Cray T3E-900 have demonstrated good scalability. Work is in progress to apply our technique to intrabeam scattering in accelerators.
Book Synopsis Time-step Considerations in Particle Simulation Algorithms for Coulomb Collisions in Plasmas by :
Download or read book Time-step Considerations in Particle Simulation Algorithms for Coulomb Collisions in Plasmas written by and published by . This book was released on 2009 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: The accuracy of first-order Euler and higher-order time-integration algorithms for grid-based Langevin equations collision models in a specific relaxation test problem is assessed. We show that statistical noise errors can overshadow time-step errors and argue that statistical noise errors can be conflated with time-step effects. Using a higher-order integration scheme may not achieve any benefit in accuracy for examples of practical interest. We also investigate the collisional relaxation of an initial electron-ion relative drift and the collisional relaxation to a resistive steady-state in which a quasi-steady current is driven by a constant applied electric field, as functions of the time step used to resolve the collision processes using binary and grid-based, test-particle Langevin equations models. We compare results from two grid-based Langevin equations collision algorithms to results from a binary collision algorithm for modeling electronion collisions. Some guidance is provided regarding how large a time step can be used compared to the inverse of the characteristic collision frequency for specific relaxation processes.
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 A Hybrid Method for Accelerated Simulation of Coulomb Collisions in a Plasma by :
Download or read book A Hybrid Method for Accelerated Simulation of Coulomb Collisions in a Plasma written by and published by . This book was released on 2007 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: If the collisional time scale for Coulomb collisions is comparable to the characteristic time scales for a plasma, then simulation of Coulomb collisions may be important for computation of kinetic plasma dynamics. This can be a computational bottleneck because of the large number of simulated particles and collisions (or phase-space resolution requirements in continuum algorithms), as well as the wide range of collision rates over the velocity distribution function. This paper considers Monte Carlo simulation of Coulomb collisions using the binary collision models of Takizuka & Abe and Nanbu. It presents a hybrid method for accelerating the computation of Coulomb collisions. The hybrid method represents the velocity distribution function as a combination of a thermal component (a Maxwellian distribution) and a kinetic component (a set of discrete particles). Collisions between particles from the thermal component preserve the Maxwellian; collisions between particles from the kinetic component are performed using the method of or Nanbu. Collisions between the kinetic and thermal components are performed by sampling a particle from the thermal component and selecting a particle from the kinetic component. Particles are also transferred between the two components according to thermalization and dethermalization probabilities, which are functions of phase space.
Download or read book Erratum written by and published by . This book was released on 2010 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Progress in Simulating Coulomb Collisions in Particle Codes by :
Download or read book Progress in Simulating Coulomb Collisions in Particle Codes written by and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A method for simulating Coulomb collisions in plasma simulations is described, in which particle weights are changed, instead of particle velocities.
Book Synopsis Energy Transfer Between Charged Particles by Coulomb Collisions by : Ray E. Kidder
Download or read book Energy Transfer Between Charged Particles by Coulomb Collisions written by Ray E. Kidder and published by . This book was released on 1958 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Plasma Physics by : Toshi Tajima
Download or read book Computational Plasma Physics written by Toshi Tajima and published by CRC Press. This book was released on 2018-03-14 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physics of plasmas is an extremely rich and complex subject as the variety of topics addressed in this book demonstrates. This richness and complexity demands new and powerful techniques for investigating plasma physics. An outgrowth from his graduate course teaching, now with corrections, Tajima's text provides not only a lucid introduction to computational plasma physics, but also offers the reader many examples of the way numerical modeling, properly handled, can provide valuable physical understanding of the nonlinear aspects so often encountered in both laboratory and astrophysical plasmas. Included here are computational methods for modern nonlinear physics as applied to hydrodynamic turbulence, solitons, fast reconnection of magnetic fields, anomalous transports, dynamics of the sun, and more. The text contains examples of problems now solved using computational techniques including those concerning finite-size particles, spectral techniques, implicit differencing, gyrokinetic approaches, and particle simulation.
Book Synopsis Particulate Flows by : Donald A. Drew
Download or read book Particulate Flows written by Donald A. Drew and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications PARTICULATE FLOWS: PROCESSING AND RHEOLOGY is based on the proceedings of a very successful one-week workshop with the same title, which was an integral part of the 1995-1996 IMA program on "Mathematical Methods in Materials Science." We would like to thank Donald A. Drew, Daniel D. Joseph, and Stephen L. Passman for their excellent work as organizers of the meeting. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE The workshop on Particulate Flows: Processing and Rheology was held January 8-12, 1996 at the Institute for Mathematics and its Applications on the University of Minnesota Twin Cities campus as part of the 1995- 96 Program on Mathematical Methods in Materials Science. There were about forty participants, and some lively discussions, in spite of the fact that bad weather on the east coast kept some participants from attending, and caused scheduling changes throughout the workshop. Heterogeneous materials can behave strangely, even in simple flow sit uations. For example, a mixture of solid particles in a liquid can exhibit behavior that seems solid-like or fluid-like, and attempting to measure the "viscosity" of such a mixture leads to contradictions and "unrepeatable" experiments. Even so, such materials are commonly used in manufacturing and processing.
Author :Jeffrey Douglas McDonald Publisher :Ann Arbor, Mich. : University Microfilms International ISBN 13 : Total Pages :164 pages Book Rating :4.F/5 ( download)
Book Synopsis A Computationally Efficient Particle Simulation Method Suited to Vector Computer Architectures by : Jeffrey Douglas McDonald
Download or read book A Computationally Efficient Particle Simulation Method Suited to Vector Computer Architectures written by Jeffrey Douglas McDonald and published by Ann Arbor, Mich. : University Microfilms International. This book was released on 1989 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Theory and Simulation of Multiple Coulomb Scattering of Heavy Charged Particles by :
Download or read book On the Theory and Simulation of Multiple Coulomb Scattering of Heavy Charged Particles written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The Moliere theory of multiple Coulomb scattering is modified to take into account difference between scattering off atomic nuclei and electron. A simple analytical expression for angular distribution of charged particles passing through a thick absorber is found. It does not assume any special form for a differential scattering cross section and has wider range of applicability than a Gaussian approximation. A well-known method to simulate multiple Coulomb scattering is based on the different treatment of ''soft'' and ''hard'' collisions. An angular deflection in a large number of ''soft'' collisions is sampled using the proposed distribution function, a small number of ''hard'' collision are simulated directly. A boundary between ''hard'' and ''soft'' collisions is defined providing a precise sampling of a scattering angle (1% level) and a small number of ''hard'' collisions. A corresponding simulating module takes into account projectile and nucleus charged distributions and exact kinematics of a projectile-electron interactions.
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 Modeling of Collisions by : A. Decoster
Download or read book Modeling of Collisions written by A. Decoster and published by Elsevier Masson. This book was released on 1998 with total page 244 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.
Download or read book Collisional[delta]f Method written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A general method for including various collisional effects, such as the drag and diffusion of test particles due to background plasmas, the effect of particle source and sink, and the like-particle Coulomb collisions, is presented. The marker density g is generally unknown along the particle trajectory, and its evaluation depends on the way particles are initially loaded and new particles are injected into the simulation. The method is demonstrated for the problem of the nonlinear evolution of the Toroidicity Induced Alfven eigenmode, driven by energetic[alpha] particles. The saturation amplitude is found to scale with the collision rate in a way as predicted by theory.
Book Synopsis Examination of Particle Collisions in the COMPASS experiment by : David Brückner
Download or read book Examination of Particle Collisions in the COMPASS experiment written by David Brückner and published by GRIN Verlag. This book was released on 2013-04-17 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technical Report from the year 2012 in the subject Physics - Nuclear Physics, University of Freiburg (Physikalisches Institut), language: English, abstract: This work has been produced during my time at Freiburg University in the division working for the COMPASS collaboration at CERN. Part of their task is to simulate the behaviour of the particles after the collision in the various detectors. The input data is given out by a generator called HepGen and I tested this data against my own calculations using relativistic dynamics. To be able to do so on a large set of data, I wrote a program in C++ that would execute the computing. The appendix "Muon-Proton Collision Simulation" shows the results of a simulation of the behaviour of the outgoing particles after a proton-muon collision as performed in the COMPASS experiment at CERN. The input data is given out by a generator called HepGen and this data was tested against calculations using relativistic dynamics. To be able to do so on a large set of data, a program in C++ was written that would execute the computing.
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