Physics
Scientific paper
May 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992georl..19..941w&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 19, no. 9, May 4, 1992, p. 941-944.
Physics
9
Charged Particles, Magnetic Dipoles, Particle Diffusion, Perturbation, Wave-Particle Interactions, Chaos, Degrees Of Freedom, Hamiltonian Functions, Magnetic Flux, Magnetic Moments
Scientific paper
For certain initial conditions, the motion of charged particles in a magnetic dipole field is well described by the hierarchy of adiabatic invariants: the magnetic moment mu, the longitudinal invariant J, and the magnetic flux psi. Electrostatic waves that break the axisymmetry of the dipole field and resonate with the drift motion can generate large-scale or so-called thick-layer chaos in psi. This chaos will drive Arnol'd diffusion in mu and J, making the motion asymptotically unstable. Previous studies involving mappings have found the thick-layer Arnol'd diffusion rate to be proportional to the square of the perturbation amplitude, consistent with quasi-linear theory. Numerical evidence is presented to the effect that for many cases of physical interest, such as particle motion in a perturbed dipole field, the thick-layer diffusion rate is greatly attenuated from the quasi-linear result.
Bhattacharjee Anirban
Mauel Michael E.
Warren Harry P.
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