Dynamics of Drift Vortices in Collision Plasmas

Abstract

Dynamics of drift waves in collision magnetoactive plasma is being studied. The time evolution of integral characteristics of drift vortices was investigated. It was shown that the large-scale vortices are relaxing due to dissipation slower than small-scale ones.

Dynamics of the large-scale ULF electromagnetic wave structures in the ionosphere

“…(5)), are not conserved and vary with respect to time due to the dissipation. According to Aburjania et al (1987), solutions (25)-(27) can substituted into Eqs. (4) and (5) within the parameters c 0 0 , U and k varying slightly with respect to time within the weak dissipation limits.…”

A perturbation theory for the solitary-drift-vortex solutions of the Hasegawa-Mima equation

“…In a series of papers , Swaters, (1985, 19866) and Swaters & Flierl (1988) developed a perturbation theory based on globally averaged energy and enstrophy balances to describe the weakly perturbed evolution of the drift vortex or modon solutions of the shallow-water equations on an infinite /?-plane. A similar theory was presented by Aburdzhaniya et al (1987) to describe the dissipation of the drift-vortex solution of the Hasegawa-Mima equation. We shall show that the transport equations derived by Aburdzhaniya et al can be obtained as properly formulated solvability conditions for an asymptotic expansion, assuming a relatively small damping coefficient.…”

“…The transport equations (2.16a, 6) were first derived by Aburdzhaniya et al (1987) in the context of the perturbed Hasegawa-Mima drift-vortex problem. Earlier versions of these transport equations appeared in Swaters (1985) and Swaters (19866) in the context of the perturbed /?-plane modon problem.…”

“…The study by Aburdzhaniya et al (1987) did not fully examine the solutions of the transport equations, focusing instead on obtaining simple analytically tractable approximations. Here we shall numerically solve the transport equations (2.16a, b) and then compare the results with a numerical solution of (2.1), assuming a drift-vortex initial condition.…”

Shear flow driven magnetized planetary wave structures in the ionosphere

“…In this case the integral properties of structures, namely E-energy (31) and Q-enstrophy (32), are not conserved and vary with respect to time due to dissipation. In accordance to Aburjania et al (1987), solutions (39) and (57) can be placed in (31) and (32) within the parameters b 0 , A 0 , c 0 0 , U and k, varying slowly with respect to time within the limits of the weak dissipation. In order to analyze the evolution of energy (31) and enstrophy (32) in the dissipative medium, we estimated the order of integrals: R (rP) 2 dxdy$d À 2 R P 2 dxdy, R (DP) 2 dxdy$ d À 2 R (rP) 2 dxdy, where d is the characteristic spatial scale of the vortices.…”