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Gradient Drift Instability

The gradient drift instability [Sim63, Hoh63] is a relative of the Rayleigh-Taylor instability, since they both involve the interchange of two elements of a fluid plasma. It is also known as the `` tex2html_wrap_inline4680 '' or cross-field instability. If an enhancement of the plasma density is present whenever an external force acts on the same volume of plasma (due to an electric field, gravity or neutral air winds) and a slight disturbance occurs, a charge separation can take place. This charge separation produces a small ``polarization electric field'' which, due to the presence of a magnetic field, increases the disturbance, thus producing the instability. This instability is a common mechanism by which irregular structures in the F-region break down into smaller ones [Har92, p. 41,].

Figure 2.6: The gradient drift instability and tex2html_wrap_inline4512 and tex2html_wrap_inline4462 conditions for instability growth in the E-region (left) and the F-region (right).

Shown in Figure 2.6 is a diagram that outlines the gradient-drift mechanism. If the electric field tex2html_wrap_inline4512 is parallel to the plasma density gradient tex2html_wrap_inline4462 , the condition for instability growth in the E-region is met. The electrons and ions will have different drift velocities and directions, creating a charge separation along an initial disturbance as indicated. The electrons will move perpendicular to the electric field with a speed tex2html_wrap_inline4690 (collisionless Hall drift) while the ions move along the direction of the electric field with a speed of tex2html_wrap_inline4692 (Pedersen drift).gif The resulting polarization electric field tex2html_wrap_inline4706 will produce a tex2html_wrap_inline4708 drift which drives the amplitude increase of the instability.

The same charge configuration holds for the F-region, but the condition is now that the electric field tex2html_wrap_inline4512 is perpendicular to the plasma density gradient tex2html_wrap_inline4462 . The collision frequency for electrons and ions is low at these altitudes, resulting in a collisionless Hall drift of both electrons and ions. The charge separation is produced through the large Pedersen mobility of the ions as compared to that of electrons. The Pedersen drift component of the ions is directed along the electric field.

There exist several mechanisms which have an influence on the growth rate of this instability at high latitudes. If the E-region is highly conductive, as is often the case in auroral regions, the perturbation charges of the F-region may be shorted out by a current flow to the E-region, so the growth rate of the gradient-drift instability becomes small. In addition to these structure related currents, large-scale field-aligned currents can be present. In such cases, if the propagation vector tex2html_wrap_inline4714 has a small component tex2html_wrap_inline4716 along the magnetic field, the relative velocities between the ions and electrons along the FAC will have a component along tex2html_wrap_inline4714 . This will in turn lead to polarization fields that support the growth of the initial perturbed wave. This is called the current convective instability [OC79, Kad65]. Its importance relative to the gradient-drift instability is formed from the ratio of the growth rates tex2html_wrap_inline4720 for the basic gradient drift and the current convective mechanisms:


It should be noted that the above results are based on linear theory. This has a major shortcoming, since the growth rates are rapid, particularly for the current convective instability, and the instability can quickly become nonlinear [Cha79, KOC80]. Still, the current convective instability appears to explain the observations of ionospheric F-region irregularities when density gradients and FACs are present [Kel89, p. 369 - 377,].

next up previous
Next: Kelvin-Helmholtz Instability Up: Instabilities Previous: Farley-Buneman Instability

Andreas Schiffler
Wed Oct 9 10:05:17 CST 1996