On the nature of the particle chaos in the earth's magnetotail

Details On the nature of the particle chaos in the earth's magnetotail On the nature of the particle chaos in the earth's magnetotail

Dec 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agufmsm21a0771r&link_type=abstract

American Geophysical Union, Fall Meeting 2001, abstract #SM21A-0771

Physics

2744 Magnetotail, 2764 Plasma Sheet, 7807 Charged Particle Motion And Acceleration, 7839 Nonlinear Phenomena

Scientific paper

We revisit the subject of nonlinear charged particle dynamics and chaos in magnetotail-like magnetic fields using the modified Harris magnetic field. While much has been written on this subject in the last decade we feel there are some as-yet-unanswered fundamental questions as well as some "folklore" which is in need of clarification. We begin by demonstrating that the general behavior of the average exponential divergence rate (AEDR) of individual orbits is strongly correlated with the phase space partitions, i.e. the AEDR for integrable orbits goes to zero for long times, the AEDR of stochastic orbits approaches an asymptotic value for long times, and the AEDR of transient orbits (and short lived stochastic orbits) is not well defined. Furthermore, we show that the Lyapunov exponent for a distribution of particles only has well defined values at the resonant energy surfaces defined by Burkhart and Chen. Next it is shown that the ``chaos'' of the system is maximum at κ = 1 only in the sense that a lot of particles enter the stochastic region of phase space for this energy. The average Lyapunov exponent at κ =1 actually approaches zero. Finally, we show that for those energies where the Lyapunov exponent is defined, it increases as the ratio of normal component of the field to the asymptotic field strength increases.

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