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Title: Bifurcation theory of a one-dimensional transport model for the L-H transition

Transitions between low and high-confinement (L-H transitions) in magnetically confined plasmas can appear as three qualitatively different types: sharp, smooth, and oscillatory. Bifurcation analysis unravels these possible transition types and how they are situated in parameter space. In this paper the bifurcation analysis is applied to a 1-dimensional model for the radial transport of energy and density near the edge of magnetically confined plasmas. This phenomenological L-H transition model describes the reduction of the turbulent transport by E×B-flow shear self-consistently with the evolution of the radial electric field. Therewith, the exact parameter space, including the threshold values of the control parameters, of the possible L-H transitions in the model is determined. Furthermore, a generalised equal area rule is derived to describe the evolution of the transport barrier in space and time self-consistently. Applying this newly developed rule to the model analysed in this paper reveals a naturally occurring transition to an extra wide transport barrier that may correspond to the improved confinement known as the very-high-confinement mode.
Authors:
; ;  [1]
  1. FOM Institute DIFFER—Dutch Institute for Fundamental Energy Research, Association EURATOM-FOM, Trilateral Euregio Cluster, PO Box 1207, Nieuwegein (Netherlands)
Publication Date:
OSTI Identifier:
22227893
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 8; Other Information: (c) 2013 EURATOM; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BIFURCATION; ELECTRIC FIELDS; H-MODE PLASMA CONFINEMENT; L-MODE PLASMA CONFINEMENT; MAGNETOHYDRODYNAMICS; ONE-DIMENSIONAL CALCULATIONS; PLASMA DENSITY; PLASMA INSTABILITY; PLASMA SIMULATION; SHEAR; TOKAMAK DEVICES; TRANSPORT THEORY; TURBULENCE