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Individual particle motion and the effect of scattering in an axially symmetric magnetic field

Abstract

The possibility of confining charged particles with magnetic mirrors has long been recognized. A mirror field has axial symmetry and a magnitude that increases along the axis away from a central region in which the particles are to be contained. Heretofore, the likelihood of confinement has been based on the approximate invariance of the magnetic moment as described by Alfven. If the magnetic moment of a particle with given energy is too small the particle escapes axially through the mirror. The moment can become small because it is not a rigorous constant of the motion or because of Coulomb scattering of the particle. Both these effects have been studied; the first by analytic and numerical methods and the second by numerical solution of the Fokker- Planck equation.
Authors:
Garren, A; Riddell, R J; Smith, L; Henrich, L R; [1]  Bing, G; Northrop, T G; Roberts, J E [2] 
  1. Radiation Laboratory, University of California, Berkeley, CA (United States)
  2. Radiation Laboratory, University of California, Livermore, CA (United States)
Publication Date:
Jul 01, 1958
Product Type:
Conference
Report Number:
INIS-XU-021; P-383-USA
Resource Relation:
Conference: 2. United Nations international conference on the peaceful uses of atomic energy, Geneva (Switzerland), 1-13 Sep 1958; Other Information: 7 refs, 11 figs, 3 tabs; Related Information: In: Proceedings of the second United Nations international conference on the peaceful uses of atomic energy. V. 31. Theoretical and experimental aspects of controlled nuclear fusion, 400 pages.
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AXIAL SYMMETRY; CHARGED PARTICLES; COULOMB SCATTERING; FOKKER-PLANCK EQUATION; MAGNETIC FIELDS; MAGNETIC MIRRORS; MAGNETIC MOMENTS; MIRRORS; NUMERICAL SOLUTION; PARTICLES; PLASMA CONFINEMENT
OSTI ID:
21068299
Research Organizations:
United Nations, Geneva (Switzerland)
Country of Origin:
UN
Language:
English
Other Identifying Numbers:
TRN: XU0800009082391
Availability:
Available from INIS in electronic form
Submitting Site:
INIS
Size:
page(s) 65-71
Announcement Date:
Sep 15, 2008

Citation Formats

Garren, A, Riddell, R J, Smith, L, Henrich, L R, Bing, G, Northrop, T G, and Roberts, J E. Individual particle motion and the effect of scattering in an axially symmetric magnetic field. UN: N. p., 1958. Web.
Garren, A, Riddell, R J, Smith, L, Henrich, L R, Bing, G, Northrop, T G, & Roberts, J E. Individual particle motion and the effect of scattering in an axially symmetric magnetic field. UN.
Garren, A, Riddell, R J, Smith, L, Henrich, L R, Bing, G, Northrop, T G, and Roberts, J E. 1958. "Individual particle motion and the effect of scattering in an axially symmetric magnetic field." UN.
@misc{etde_21068299,
title = {Individual particle motion and the effect of scattering in an axially symmetric magnetic field}
author = {Garren, A, Riddell, R J, Smith, L, Henrich, L R, Bing, G, Northrop, T G, and Roberts, J E}
abstractNote = {The possibility of confining charged particles with magnetic mirrors has long been recognized. A mirror field has axial symmetry and a magnitude that increases along the axis away from a central region in which the particles are to be contained. Heretofore, the likelihood of confinement has been based on the approximate invariance of the magnetic moment as described by Alfven. If the magnetic moment of a particle with given energy is too small the particle escapes axially through the mirror. The moment can become small because it is not a rigorous constant of the motion or because of Coulomb scattering of the particle. Both these effects have been studied; the first by analytic and numerical methods and the second by numerical solution of the Fokker- Planck equation.}
place = {UN}
year = {1958}
month = {Jul}
}