On the Nonadiabatic Motion of a Charged Particle in an Axisymmetric Magnetic Barrier PDF Download
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Author: John Reece Roth
Publisher:
ISBN:
Category : Controlled fusion
Languages : en
Pages : 262
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A study was made of the motion of a single charged particle in the magnetic induction generated by an axisymmetric current sheet, the current of which was sinusoidally modulated along the axis. Several adiabatically invariant quantities were investigated, and it was found that M varied least along a given trajectory. A particle was considered to be adiabatic if M varied by less than 5% during a single interaction with the magnetic barrier. An averaging process was found which made it possible to predict the relations between particle mass and energy, and the magnetic induction strength and geometry, which cause M to vary by more than 5% during a single interaction with the magnetic barrier. Experimental apparatus was constructed which made it possible to study a single interaction of a beam of charged particles with a magnetic barrier under steady-state conditions. An experimental procedure was developed which made it possible to detect the transition from adiabatic to nonadiabatic reflection of the ion beam, and the results were compared with the results of the numerical computation. (Author).
Author: John Reece Roth
Publisher:
ISBN:
Category : Controlled fusion
Languages : en
Pages : 262
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Book Description
A study was made of the motion of a single charged particle in the magnetic induction generated by an axisymmetric current sheet, the current of which was sinusoidally modulated along the axis. Several adiabatically invariant quantities were investigated, and it was found that M varied least along a given trajectory. A particle was considered to be adiabatic if M varied by less than 5% during a single interaction with the magnetic barrier. An averaging process was found which made it possible to predict the relations between particle mass and energy, and the magnetic induction strength and geometry, which cause M to vary by more than 5% during a single interaction with the magnetic barrier. Experimental apparatus was constructed which made it possible to study a single interaction of a beam of charged particles with a magnetic barrier under steady-state conditions. An experimental procedure was developed which made it possible to detect the transition from adiabatic to nonadiabatic reflection of the ion beam, and the results were compared with the results of the numerical computation. (Author).
Author: J. Reece Roth
Publisher:
ISBN:
Category : Dynamics of a particle
Languages : en
Pages : 84
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Author:
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ISBN:
Category :
Languages : en
Pages : 680
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Author: Ronald J. Schertler
Publisher:
ISBN:
Category : High temperature plasmas
Languages : en
Pages : 36
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Author:
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ISBN:
Category : Aeronautics
Languages : en
Pages : 624
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Author:
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ISBN:
Category : Nuclear energy
Languages : en
Pages : 1774
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Author:
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ISBN:
Category :
Languages : en
Pages :
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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: Harold Weitzner
Publisher: Forgotten Books
ISBN: 9780484468770
Category : Science
Languages : en
Pages : 68
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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:
Publisher:
ISBN:
Category : Energy development
Languages : en
Pages : 578
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Author: United States. National Aeronautics and Space Administration. Scientific and Technical Information Division
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 2088
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