Statistics – Computation
Scientific paper
Dec 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agufmsm51b0819r&link_type=abstract
American Geophysical Union, Fall Meeting 2001, abstract #SM51B-0819
Statistics
Computation
2451 Particle Acceleration, 2471 Plasma Waves And Instabilities, 2483 Wave/Particle Interactions, 7807 Charged Particle Motion And Acceleration, 7867 Wave/Particle Interactions
Scientific paper
There are two observations that are particularly ubiquitous in the auroral ionospheric plasmas: intense lower hybrid fields in density depleted regions localized transverse to the geomagnetic field, and transverse energization of ions emanating from the fields in the density depleted regions [1]. Theoretical and computational studies directed towards understanding the generation of fields in density cavities and their interaction with ionospheric ions will be presented. In a density gradient, localized intense electric fields can be generated in regions where plasma resonances exist. These resonances occur where the wave frequency matches the local lower hybrid frequency or the upper hybrid frequency. The singularity in the amplitude of the wave at these spatial locations is logarithmic. The appropriate differential equation describing the spatial profile of the fields can be set up for a cold plasma using Maxwell's equations. We are pursuing both numerical and approximate analytical solutions to determine the characteristics of the fields for two cases: where the wave frequency is given and the parallel (to the magnetic field) wavelengths are the eigenvalues to be determined, or vice versa. The analytical solutions make use of a variational principle. The interaction of ions with the localized electric fields is significantly different from their interaction with a plane wave or a broadband spectrum of waves. A wave-particle interaction model has been developed that studies the interaction of energetic ions with spatially localized electric fields. We find that the phase space of the energized ions can be chaotic, and, for long-time interactions, the ions can undergo large energy gains akin to Levy flights. Detailed analytical and numerical results of the interaction of ions with localized field structures will be presented. This work is supported by NSF Grant No. ATM-98-06328 and by NSF-DOE Grant No. DE-FG02-99ER-54555. [1] K.A. Lynch et al., J. Geophys. Res. 104, 28,515 (1999).
Bers Abraham
Ram Abhay K.
Salcedo A.
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