Drift wave propagation as a source of plasma edge turbulence: Slab theory

Mattor, Nathan; Diamond, P. H.

doi:10.1063/1.870870

Cited by 41 publications

(48 citation statements)

References 37 publications

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“…For the drift wave type perturbations we have simply an adiabatic response ñ /n 0 ϭe /T e . Having this in mind from ͑15͒, one obtains 30,31 ͩ ‫ץ‬…”

Section: B Zonal Flow Evolutionmentioning

confidence: 97%

Bifurcation and scaling of drift wave turbulence intensity with collisional zonal flow damping

Malkov¹,

Diamond²

2001

Physics of Plasmas

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Interacting drift wave–zonal flow turbulence is examined at the spectral level of description using an extended “predator–prey” model. Analytic solutions that describe both the linear scaling of transport with ion–ion collisionality as well as the saturation regime are obtained for a simple model of drift wave turbulence. A theory of self-regulation in this system is presented. The possibility of bifurcation to a state with higher turbulence level and transport is demonstrated. This bifurcation is associated with the appearance of a condensate solution at the largest scales. The possible relevance of this phenomenon to the bursting events of turbulence and transport recently observed in gyrokinetic simulations of ITG instability is discussed.

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“…For the drift wave type perturbations we have simply an adiabatic response ñ /n 0 ϭe /T e . Having this in mind from ͑15͒, one obtains 30,31 ͩ ‫ץ‬…”

Section: B Zonal Flow Evolutionmentioning

confidence: 97%

Bifurcation and scaling of drift wave turbulence intensity with collisional zonal flow damping

Malkov¹,

Diamond²

2001

Physics of Plasmas

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“…Calculation of the mean quantities ‫ץ‬ i ‫ץ‬ j and ‫ץ‬ i p‫ץ‬ j is most conveniently done by employing the notion of the generalized adiabatic invariant N k . [24][25][26]30,38 The wave kinetic equation for the quanta density of the generalized wave action N k allows us to determine the modulations of N k due the mean flow-small scale fluctuations interaction. In TITG turbulence we deal with two-field ( k and p k ) perturbations and we have to determine a useful combination of k and p k to form N k .…”

Section: ͑19͒mentioning

confidence: 99%

Role of ion diamagnetic effects in the generation of large scale flows in toroidal ion temperature gradient mode turbulence

2000

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The secondary instability of large scale flows, such as zonal flows and streamers, in toroidal ion temperature gradient turbulence is investigated. It is shown that diamagnetic effects (finite pressure fluctuations), such as those for toroidal ion temperature gradient modes, significantly increase the total Reynolds force. In general, pressure fluctuations have a finite phase shift relative to the electrostatic potential. It is shown that both parts (in-phase and out-of-phase) contribute to the diamagnetic Reynolds stress tensor. Also, the out-of-phase component of the pressure fluctuations is responsible for anomalous energy flux. It is shown here, that a specific contribution of the out-of-phase component to the Reynolds stress tensor allows us to decouple zonal flow dynamics from slow evolution of the ion pressure profile. General equations for the zonal flow and streamer instabilities in toroidal ion temperature gradient turbulence are derived and the growth rates are determined.

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“…The numerical code used for our simulations has been based on the wave-kinetic approach to drift wave-zonal flow interactions in magnetized plasmas [6,7,20,21], as found in, e.g., tokamaks. This approach is centered around the wave mode density Nt; x; k, of which the evolution is given by a Boltzmann-like equation.…”

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confidence: 99%

Spontaneous Generation of Self-Organized Solitary Wave Structures at Earth’s Magnetopause

et al. 2007

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This version is available at https://strathprints.strath.ac.uk/51798/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Strathprints administrator: strathprints@strath.ac.ukThe Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output. Spontaneous formation of solitary wave structures has been observed in Earth's magnetopause, and is shown to be caused by the breakup of a zonal flow by the action of drift wave turbulence. Here we show matched observations and modeling of coherent, large-scale solitary electrostatic structures, generated during the interaction of short-scale drift wave turbulence and zonal flows at the Earth's magnetopause. The observations were made by the Cluster spacecraft and the numerical modeling was performed using the wave-kinetic approach to drift wave-zonal flow interactions. Good agreement between observations and simulations has been found, thus explaining the emergence of the observed solitary structures as well as confirming earlier theoretical predictions of their existence. Spontaneous Generation of Self-Organized Solitary Wave Structures at Earth's Magnetopause

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Drift wave propagation as a source of plasma edge turbulence: Slab theory

Cited by 41 publications

References 37 publications

Bifurcation and scaling of drift wave turbulence intensity with collisional zonal flow damping

Bifurcation and scaling of drift wave turbulence intensity with collisional zonal flow damping

Role of ion diamagnetic effects in the generation of large scale flows in toroidal ion temperature gradient mode turbulence

Spontaneous Generation of Self-Organized Solitary Wave Structures at Earth’s Magnetopause

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