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Frequency scaling and localization of geodesic acoustic modes in ASDEX Upgrade

G D Conway, C Tröster, B Scott, K Hallatschek and the ASDEX Upgrade Team

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The frequency behaviour and localization of the geodesic acoustic mode (GAM), believed to be a coherent plasma turbulence-generated Er × B zonal flow (ZF) oscillation, is studied in the ASDEX Upgrade tokamak using Doppler reflectometry. In typical elongated (1.4 < κ < 1.75) plasmas with an X-point divertor configuration the GAM is observed only in the edge density gradient region 0.95 < ρpol < 1.0 between the density pedestal top and the flux surface boundary. The GAM frequency (5–25 kHz) is found to scale linearly as ω = G cs/Ro (sound speed over major radius) but with an inverse dependence on the plasma elongation κ and a weak direct dependence on the safety factor q. The lower the GAM frequency the more important it is expected to become in moderating the turbulence via shear decorrelation. A heuristic scaling law for the frequency scale factor G\sim \mathcal{O}(1) involving κ and finite aspect ratio epsilon terms has been obtained from dedicated parameter scans. For circular plasmas κ ~ 1 touching the limiter the density pedestal is weakened and the GAM is seen to reach in radially as far as ρpol ~ 0.75, depending on the q profile, with a frequency scale G \rightarrow \sqrt{2} consistent with theoretical predictions. Radially the GAM frequency is not a smooth function but displays a series of plateaus a few centimetres wide coinciding with peaks in the GAM amplitude, suggesting several ZF layers. At the plateau edges the GAM spectral peak splits into two frequency branches.


PACS

52.55.Fa Tokamaks, spherical tokamaks

52.35.Ra Plasma turbulence

52.40.Hf Plasma-material interactions; boundary layer effects

52.35.Fp Electrostatic waves and oscillations (e.g., ion-acoustic waves)

52.35.Qz Microinstabilities (ion-acoustic, two-stream, loss-cone, beam-plasma, drift, ion- or electron-cyclotron, etc.)

52.70.-m Plasma diagnostic techniques and instrumentation

Subjects

Instrumentation and measurement

Plasma physics

Dates

Issue 5 (May 2008)

Received 1 February 2008, in final form 28 February 2008

Published 2 April 2008



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