The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field (Classic Reprint) PDF Download
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Author: Harold Weitzner
Publisher: Forgotten Books
ISBN: 9780484468770
Category : Science
Languages : en
Pages : 68
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Book Description
Excerpt from The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field The motion of a single charged particle in a given magnetic field, one of the first problems studied in plasma physics, (1) has recently become of interest again. Two topics of immediate significance in magnetic fusion energy research have sparked the current concernzlz) the confinement of high energy alpha particles and the drift motion of moderate energy particles induced by small magnetic fields that break axial symmetry. The large body of older theory has been used to provide a base for extensive numerical computations. Here, we examine the problemiwith analytic tools to discover what improved descriptions of single particle motion we are able to provide. The critical concept in the study of the single particle dynamics is the existence of adiabatic invariants of the motion which allows great simplifications in the study of the dynamics. The adiabatic invariants are associated with the presence of a physical parameter which is small, the ratio of the larmor radius to the characteristic distance over which magnetic fields vary; and we denote this parameter by 6. Unlike the earlier treatments we assume that parts of the axisymmetric magnetic field may be small in e and we also take the symmetry breaking field to be small in e. Not surprisingly, we find that these assumptions do allow considerably more analysis than is possible without them. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Harold Weitzner
Publisher: Forgotten Books
ISBN: 9780484468770
Category : Science
Languages : en
Pages : 68
Get Book Here
Book Description
Excerpt from The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field The motion of a single charged particle in a given magnetic field, one of the first problems studied in plasma physics, (1) has recently become of interest again. Two topics of immediate significance in magnetic fusion energy research have sparked the current concernzlz) the confinement of high energy alpha particles and the drift motion of moderate energy particles induced by small magnetic fields that break axial symmetry. The large body of older theory has been used to provide a base for extensive numerical computations. Here, we examine the problemiwith analytic tools to discover what improved descriptions of single particle motion we are able to provide. The critical concept in the study of the single particle dynamics is the existence of adiabatic invariants of the motion which allows great simplifications in the study of the dynamics. The adiabatic invariants are associated with the presence of a physical parameter which is small, the ratio of the larmor radius to the characteristic distance over which magnetic fields vary; and we denote this parameter by 6. Unlike the earlier treatments we assume that parts of the axisymmetric magnetic field may be small in e and we also take the symmetry breaking field to be small in e. Not surprisingly, we find that these assumptions do allow considerably more analysis than is possible without them. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: H. Weitzner
Publisher: Franklin Classics Trade Press
ISBN: 9780353305366
Category : History
Languages : en
Pages : 60
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Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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Languages : en
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Book Description
The motion of a charged particle in a static magnetic field is studied by means of repeated canonical transformations of a Hamiltonian system. Adiabatic invariants are generated based on the assumption that the particle larmor radius is small compared with the characteristic distance over which the magnetic field varies. Unlike many earlier treatments the transformations presented here preserve the axisymmetry of the dynamics when the magnetic field is axisymmetric. It is assumed that the magnetic field consists of a small nonaxisymmetric part plus the axisymmetric toroidal and poloidal parts. After the introduction of the magnetic moment adiabatic invariant the motion of the guiding center is studied. The results depend sensitively on the ratio of the poloidal magnetic field to the total magnetic field. In some cases a second adiabatic invariant exists and direct inferences concerning long time particle drifts are possible. In one case where a second adiabatic invariant fails to exist, long term drifts are studied by conventional perturbation expansions. At some points resonance or lack of resonance phenomena appear and determine the drift effects.
Author: Roger van Norton
Publisher: Forgotten Books
ISBN: 9781333445003
Category : Science
Languages : en
Pages : 36
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Book Description
Excerpt from The Motion of a Charged Particle Near a Zero Field Point A catalogue of all possible orbits would be too long and too confusing to be of value. It is natural to wish to separate the orbits into a few broad classes defined in terms of the gross behavior of particles over a large but finite period of time. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Martin Reiser
Publisher: John Wiley & Sons
ISBN: 3527617639
Category : Science
Languages : en
Pages : 634
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Book Description
Although particle accelerators are the book's main thrust, it offers a broad synoptic description of beams which applies to a wide range of other devices such as low-energy focusing and transport systems and high-power microwave sources. Develops material from first principles, basic equations and theorems in a systematic way. Assumptions and approximations are clearly indicated. Discusses underlying physics and validity of theoretical relationships, design formulas and scaling laws. Features a significant amount of recent work including image effects and the Boltzmann line charge density profiles in bunched beams.
Author: Lisa Tauxe
Publisher: Univ of California Press
ISBN: 0520260317
Category : Science
Languages : en
Pages : 505
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Book Description
"This book by Lisa Tauxe and others is a marvelous tool for education and research in Paleomagnetism. Many students in the U.S. and around the world will welcome this publication, which was previously only available via the Internet. Professor Tauxe has performed a service for teaching and research that is utterly unique."—Neil D. Opdyke, University of Florida
Author: Dan M. Goebel
Publisher: John Wiley & Sons
ISBN: 0470436263
Category : Technology & Engineering
Languages : en
Pages : 528
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Book Description
Throughout most of the twentieth century, electric propulsion was considered the technology of the future. Now, the future has arrived. This important new book explains the fundamentals of electric propulsion for spacecraft and describes in detail the physics and characteristics of the two major electric thrusters in use today, ion and Hall thrusters. The authors provide an introduction to plasma physics in order to allow readers to understand the models and derivations used in determining electric thruster performance. They then go on to present detailed explanations of: Thruster principles Ion thruster plasma generators and accelerator grids Hollow cathodes Hall thrusters Ion and Hall thruster plumes Flight ion and Hall thrusters Based largely on research and development performed at the Jet Propulsion Laboratory (JPL) and complemented with scores of tables, figures, homework problems, and references, Fundamentals of Electric Propulsion: Ion and Hall Thrusters is an indispensable textbook for advanced undergraduate and graduate students who are preparing to enter the aerospace industry. It also serves as an equally valuable resource for professional engineers already at work in the field.
Author: James Binney
Publisher: Oxford University Press, USA
ISBN: 0199688575
Category : Science
Languages : en
Pages : 408
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Book Description
This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.
Author: Heinz E. Knoepfel
Publisher: John Wiley & Sons
ISBN: 3527617426
Category : Science
Languages : en
Pages : 643
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Book Description
A unique resource for physicists and engineers working with magnetic fields An understanding of magnetic phenomena is essential for anyone working on the practical application of electromagnetic theory. Magnetic Fields: A Comprehensive Theoretical Treatise for Practical Use provides physicists and engineers with a thorough treatment of the magnetic aspects of classical electromagnetic theory, focusing on key issues and problems arising in the generation and application of magnetic fields. From magnetic potentials and diffusion phenomena to magnetohydrodynamics and properties of matter-topics are carefully selected for their relevance to the theoretical framework as well as current technologies. Outstanding in its organization, clarity, and scope, Magnetic Fields: * Examines a wide range of practical problems, from magnetomechanical devices to magnetic acceleration mechanisms * Opens each chapter with reference to pertinent engineering examples * Provides sufficient detail enabling readers to follow the derivation of the results * Discusses solution methods and their application to different problems * Includes more than 300 graphs, 40 tables, 2,000 numbered formulas, and extensive references to the professional literature * Reviews the essential mathematics in the appendices
Author: Francis F. Chen
Publisher: Springer Science & Business Media
ISBN: 1475755953
Category : Science
Languages : en
Pages : 427
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Book Description
TO THE SECOND EDITION In the nine years since this book was first written, rapid progress has been made scientifically in nuclear fusion, space physics, and nonlinear plasma theory. At the same time, the energy shortage on the one hand and the exploration of Jupiter and Saturn on the other have increased the national awareness of the important applications of plasma physics to energy production and to the understanding of our space environment. In magnetic confinement fusion, this period has seen the attainment 13 of a Lawson number nTE of 2 x 10 cm -3 sec in the Alcator tokamaks at MIT; neutral-beam heating of the PL T tokamak at Princeton to KTi = 6. 5 keV; increase of average ß to 3%-5% in tokamaks at Oak Ridge and General Atomic; and the stabilization of mirror-confined plasmas at Livermore, together with injection of ion current to near field-reversal conditions in the 2XIIß device. Invention of the tandem mirror has given magnetic confinement a new and exciting dimension. New ideas have emerged, such as the compact torus, surface-field devices, and the EßT mirror-torus hybrid, and some old ideas, such as the stellarator and the reversed-field pinch, have been revived. Radiofrequency heat ing has become a new star with its promise of dc current drive. Perhaps most importantly, great progress has been made in the understanding of the MHD behavior of toroidal plasmas: tearing modes, magnetic Vll Vlll islands, and disruptions.
