A drift-magnetohydrodynamical (MHD) fluid model is developed for an isolated, steady-state, helical magnetic island chain, embedded in the pedestal of a large aspect ratio, low-, circular cross section, H-mode tokamak plasma, to which an externally generated, multiharmonic, static magnetic perturbation whose amplitude is sufficiently large to fully relax the pedestal toroidal ion flow is applied. The model is based on a set of single helicity, reduced, drift-MHD fluid equations which take into account neoclassical poloidal and toroidal flow damping, the perturbed bootstrap current, diamagnetic flows, anomalous cross-field diffusion, average magnetic-field line curvature, and coupling to drift-acoustic waves. These equations are solved analytically in a number of different ordering regimes by means of a systematic expansion in small quantities. For the case of a freely rotating island chain, the main aims of the calculation are to determine the chain’s phase velocity, and the sign and magnitude of the ion polarization term appearing in its Rutherford radial width evolution equation. For the case of a locked island chain, the main aims of the calculation are to determine the sign and magnitude of the polarization term.
Skip Nav Destination
Article navigation
June 2010
Research Article|
June 11 2010
A drift-magnetohydrodynamical fluid model of helical magnetic island equilibria in the pedestals of H-mode tokamak plasmas
R. Fitzpatrick;
R. Fitzpatrick
Department of Physics, Institute for Fusion Studies,
University of Texas at Austin
, Austin, Texas 78712, USA
Search for other works by this author on:
F. L. Waelbroeck
F. L. Waelbroeck
Department of Physics, Institute for Fusion Studies,
University of Texas at Austin
, Austin, Texas 78712, USA
Search for other works by this author on:
Phys. Plasmas 17, 062503 (2010)
Article history
Received:
February 24 2010
Accepted:
April 30 2010
Citation
R. Fitzpatrick, F. L. Waelbroeck; A drift-magnetohydrodynamical fluid model of helical magnetic island equilibria in the pedestals of H-mode tokamak plasmas. Phys. Plasmas 1 June 2010; 17 (6): 062503. https://doi.org/10.1063/1.3432720
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Pay-Per-View Access
$40.00
Citing articles via
ICF target optimization using generative AI
M. Ben Tayeb, V. Tikhonchuk, et al.
The long road to ignition: An eyewitness account
Mordecai D. Rosen
Progress toward fusion energy breakeven and gain as measured against the Lawson criterion
Samuel E. Wurzel, Scott C. Hsu
Related Content
Three-dimensional equilibria and island energy transport due to resonant magnetic perturbation edge localized mode suppression on DIII-D
Phys. Plasmas (November 2015)
Excitation of high wavenumber fluctuations by externally-imposed helical fields in edge pedestal plasmas
Physics of Plasmas (March 2018)
Gyrokinetic neoclassical study of the bootstrap current in the tokamak edge pedestal with fully non-linear Coulomb collisions
Phys. Plasmas (April 2016)
Measurement of edge currents in DIII-D and their implication for pedestal stability
Phys. Plasmas (May 2005)
Magnetohydrodynamics equilibria with toroidal and poloidal flow
Phys. Plasmas (April 2005)