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1997
Tikhonchuk, V. T., Voronkov, I., Frycz, P., Samson, J. C., Rankin, Robert
The nonlinear dynamics of a shear flow and its subsequent evolution in the equatorial plane of the inner plasma sheet is studied. A linear analysis of the ideal MHD equations reveals a hybrid vortex instability which appears because of the coupling of Kelvin-Helmholtz (KH) and Rayleigh-Taylor...
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2008
Marchand, Richard, Lu, J. Y., Rankin, Robert, Solomon, Stanley C., Wang, Wenbin, Le, G. M., Wang, J. S., Lei, J., Rae, I. Johnathan
A new interactive M-I coupling model that describes the dynamic interaction between magnetospheric dispersive waves, compressional modes, and auroral electron precipitations is applied to investigate the geomagnetic electromagnetic pulsations observed in Earth's magnetosphere in terms of...
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2005
Marchand, Richard, Lu, J. Y., Rankin, Robert, Tikhonchuk, Vladimir T.
Ionospheric electron heating by resonant standing shear Alfvén waves in Earth's magnetosphere is investigated. It is demonstrated that in field line resonances (FLRs), electron heating by Alfvén waves produces ionization and large changes in the ionospheric Pedersen conductivity. This leads to a...
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1994
Tikhonchuk, V. T., Frycz, P., Samson, J. C., Rankin, Robert
We present theory and numerical simulations of strong nonlinear effects in standing shear Alfven waves (SAWs) in the Earth's magnetosphere, which is modeled as a finite size box with straight magnetic lines and (partially) reflecting boundaries. In a low beta plasma it is shown that the...
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1995
Tikhonchuk, Vladimir T., Frycz, P., Rankin, Robert, Samson, John C.
Compressional Alfvén waves in the terrestrial magnetospheric cavity constitute a discrete spectrum of global modes which can resonate with specific components of the continuum spectrum of shear Alfvén wave (SAW) field line resonant frequencies. We investigate the effect of the ponderomotive force...
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1999
Tikhonchuk, V. T., Voronkov, I., Samson, J. C., Rankin, Robert
The three-dimensional, nonlinear evolution of a shear how (or Kelvin-Helmholtz (KH)) instability driven by a large-amplitude shear Alfven wave (SAW) in the Earth's magnetosphere is studied by using numerical solutions to the complete set of ideal magnetohydrodynamic equations. An initial setup is...
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2005
Kabin, Konstantin, Marchand, Richard, Lu, J. Y., Rankin, Robert, Tikhonchuk, Vladimir T.
It is shown that perpendicular gradients in shear Alfvén wave (SAW) dispersion regulate the localization of wave power on nightside geomagnetic L-shells where narrow Field Line Resonances (FLRs) form. We estimate the timescale for this process, ω0tc = 1/equation image, and demonstrate that it is...