Particle Confinement and Adiabatic Invariance

Details Particle Confinement and Adiabatic Invariance Particle Confinement and Adiabatic Invariance

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rspsa.413..145c&link_type=abstract

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 413, Issue 1844, pp. 145-156

Physics

7

Scientific paper

The general problem of adiabatic invariance is discussed by using, as an example, the particle motion in a mirror magnetic trap. A new, resonant, adiabaticity parameter is introduced, which allows the reduction of the axisymmetric problem to the standard map, and which provides a sharp estimate for the chaos (instability) border in magnetic traps. Peculiarities of the particle diffusion out of the trap, due to the presence of the chaos border, are considered. The mechanism of slow Arnol'd diffusion in a non-axisymmetric field is explained, and some rough estimates are given, including the impact of weak noise (gas scattering).

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