1985
DOI: 10.1029/gl012i001p00065
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Ionospheric turbulence: Interchange instabilities and chaotic fluid behavior

Abstract: We develop a set of mode coupling equations which describe the nonlinear evolution of the Rayleigh‐Taylor and gradient drift instabilities which are relevant to the ionosphere. We show that for a three mode system, the nonlinear equations describing these instabilities correspond exactly to the Lorenz equations which approximately describe the Rayleigh‐Benard instability. It is shown that the three mode system can exhibit a strange attractor with chaotic behavior. Ion inertia plays a critical role in this ph… Show more

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Cited by 50 publications
(44 citation statements)
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“…In most cases they are equal to the fractal dimension. The chaotic behavior of ionospheric electron density fluctuations resulting from the interchange instabilities has been investigated by Huba et al [1985] and Hassam et al [ 1986]. In the first paper it has been shown that for a three-mode system the nonlinear equations describing the Rayleigh-Taylor and E x B gradient drift instabilities reduce to equations which describe the so-called Lorenz attractor for Rayleigh-Benard instability, a typical example of the chaotic system.…”
Section: Paper Number 93rs01828mentioning
confidence: 99%
“…In most cases they are equal to the fractal dimension. The chaotic behavior of ionospheric electron density fluctuations resulting from the interchange instabilities has been investigated by Huba et al [1985] and Hassam et al [ 1986]. In the first paper it has been shown that for a three-mode system the nonlinear equations describing the Rayleigh-Taylor and E x B gradient drift instabilities reduce to equations which describe the so-called Lorenz attractor for Rayleigh-Benard instability, a typical example of the chaotic system.…”
Section: Paper Number 93rs01828mentioning
confidence: 99%
“…Our electrostatic model derived in are generalizations of the model for ionospheric turbulence derived by Huba et al (1985) and applied to this problem by Hassam et al (1985). On the other hand this model is also a gener-alization of generic models for drift wave turbulence, which has been applied to ionospheric problems as well as laboratory plasmas, including edge turbulence in magnetic confinement devices.…”
Section: Discussionmentioning
confidence: 99%
“…͑17͒ and ͑18͒ occur in ionospheric turbulence. 19 Furthermore, models with similar mathematical structures were derived for fully ionized plasmas by several authors. 4,18,24,25 We call Eqs.…”
Section: ͑15͒mentioning
confidence: 99%