Nonlinear dynamics of standing shear Alfvén waves
- 1 February 1995
- journal article
- Published by AIP Publishing in Physics of Plasmas
- Vol. 2 (2) , 501-515
- https://doi.org/10.1063/1.870975
Abstract
The nonlinear evolution of driven standing shear Alfvén waves is investigated by virtue of a model which includes the interaction of the waves with density perturbations excited by the ponderomotive force. It is shown that the plasma density perturbations take the form of a slow magnetosonic wave which nonlinearly shifts the frequency of the shear Alfvén wave and decouples it from the external source. This results in a complicated and sometimes chaotic temporal behavior of the amplitude of the excited waves which depends strongly on the plasma pressure, driver strength, and the frequency mismatch between the driver and shear Alfvén eigenmode. The results are discussed in the context of ultra low frequency (ULF) field line resonances in the Earth’s magnetosphere and the excitation of waves in the Alfvénic wave resonator near to the polar ionosphere.Keywords
This publication has 27 references indexed in Scilit:
- Nonlinear standing shear Alfvén waves in the Earth's magnetosphereJournal of Geophysical Research, 1994
- Ponderomotive effects on ion acceleration in the auroral zoneGeophysical Research Letters, 1993
- Hydromagnetic waves and the ionosphereGeophysical Research Letters, 1988
- Nonlinear 3‐D evolution of bounded kinetic Alfven waves due to shear flow and collisionless tearing instabilityGeophysical Research Letters, 1988
- Nonlinear, dispersive, elliptically polarized Alfvén wavesPhysics of Fluids, 1988
- Nonlinear convective motion in plasmasPhysics Reports, 1984
- Two-dimensional self-modulation of a whistler wave propagating along the magnetic field in a plasmaJournal of Plasma Physics, 1977
- Parallel Propagation of Nonlinear Low-Frequency Waves in High-β PlasmaPhysics of Fluids, 1971
- Self-Trapping and Instability of Hydromagnetic Waves Along the Magnetic Field in a Cold PlasmaPhysical Review Letters, 1968
- Hydromagnetic waves in a rare ionized gas and galactic magnetic fieldsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1955