Ion dynamics in a field-reversed configuration are explored for a highly elongated device, with emphasis placed on ions having positive canonical angular momentum. Due to angular invariance, the equations of motion are that of a two degree-of-freedom system with spatial variables ρ and ζ. As a result of separation of time scales of motion caused by large elongation, there is a conserved adiabatic invariant, which breaks down during the crossing of the phase-space separatrix. For integrable motion, which conserves an approximate one-dimensional effective potential was obtained by averaging over the fast radial motion. This averaged potential has the shape of either a double or single symmetric well centered about ζ=0. The condition for the approach to the separatrix and therefore the breakdown of the adiabatic invariance of is derived and studied under variation of and conserved angular momentum, Since repeated violation of results in chaotic motion, this condition can be used to predict whether an ion (or distribution of ions) with given initial conditions will undergo chaotic motion.
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March 2004
Research Article|
March 01 2004
Regular and stochastic orbits of ions in a highly prolate field-reversed configuration
A. S. Landsman;
A. S. Landsman
Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, New Jersey 08543
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S. A. Cohen;
S. A. Cohen
Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, New Jersey 08543
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A. H. Glasser
A. H. Glasser
Los Alamos National Laboratory, Mail Stop K717, P.O. Box 1663, Los Alamos, New Mexico 87545
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A. S. Landsman
S. A. Cohen
A. H. Glasser
Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, New Jersey 08543
Phys. Plasmas 11, 947–957 (2004)
Article history
Received:
September 30 2003
Accepted:
November 10 2003
Citation
A. S. Landsman, S. A. Cohen, A. H. Glasser; Regular and stochastic orbits of ions in a highly prolate field-reversed configuration. Phys. Plasmas 1 March 2004; 11 (3): 947–957. https://doi.org/10.1063/1.1638751
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