Ginzburg-Landau Model in a Finite Shear-Layer and Onset of Transport Barrier Nonlinear Oscillations: A Paradigm for TypeIII ELMs

We study a Reaction‐Diffusion model describing the nonlinear oscillations of a transport barrier in a finite shear‐layer (width dE ≪ a), where a is the plasma minor radius, based on a 1D reduced model derived to explain nonlinear barrier oscillations in 3D turbulence simulations [P. Beyer, S. Benkad...

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Bibliographic Details
Published in:Contributions to plasma physics (1988) 2016-08, Vol.56 (6-8), p.736-741
Main Authors: Leconte, M., Jeon, Y.M., Yun, G. S.
Format: Article
Language:English
Subjects:
Barriers
Edge Localized Modes
Ginzburg-Landau
Mathematical analysis
Mathematical models
nonlinear oscillations
Nonlinearity
Oscillations
sheared flows
Three dimensional models
Transport
Transport barriers
Turbulence
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Summary:We study a Reaction‐Diffusion model describing the nonlinear oscillations of a transport barrier in a finite shear‐layer (width dE ≪ a), where a is the plasma minor radius, based on a 1D reduced model derived to explain nonlinear barrier oscillations in 3D turbulence simulations [P. Beyer, S. Benkadda, G. Fuhr‐Chaudier et al., Phys. Rev. Lett. 94, 105001 (2005)]. We show that this single nonlinear equation encompasses most of the physics of these barrier relaxations. The nonlinear oscillations have common characteristics with type‐III edge localized modes (ELMs), such as a repetition frequency which decreases with increasing power. In addition to the flow shear, the shear‐layer width is also shown to control the nature of the oscillations. (© 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ISSN:0863-1042
1521-3986
DOI:10.1002/ctpp.201610050