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Title: Theory of the L-H transition

Abstract

The theory of the L-H transition in tokamaks is discussed. A transport bifurcation model is presented, which predicts reasonably well several properties of the L-H transition in the DIII-D tokamak, including the evolution in time of the density and temperature profiles. A bifurcation in the radial transport occurs because of a nonlinear feedback mechanism involving the radial electric field. A spontaneous transition is predicted when certain conditions are met; no trigger mechanism is necessary. The predicted profile evolution in H-mode can include a transition to VH-mode, with its characteristically wider transport barrier at the plasma edge. Trigger mechanisms are discussed, as well as the idea of considering the L-H transition as a phase transition.

Authors:
Publication Date:
Research Org.:
General Atomics, San Diego, CA (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
10189786
Report Number(s):
GA-A-21778; CONF-9408176-1
ON: DE95001389; BR: 35AT10020/35KC07000; TRN: 94:022650
DOE Contract Number:
AC03-89ER51114
Resource Type:
Technical Report
Resource Relation:
Conference: ISPP workshop on the theory of fusion plasmas,Varenna (Italy),22-26 Aug 1994; Other Information: PBD: Sep 1994
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; TOKAMAK DEVICES; PLASMA CONFINEMENT; PLASMA SIMULATION; H-MODE PLASMA CONFINEMENT; TURBULENCE; PLASMA DRIFT; THEORETICAL DATA; CHARGED-PARTICLE TRANSPORT; PLASMA DENSITY; 700310

Citation Formats

Hinton, F.L. Theory of the L-H transition. United States: N. p., 1994. Web. doi:10.2172/10189786.
Hinton, F.L. Theory of the L-H transition. United States. doi:10.2172/10189786.
Hinton, F.L. Thu . "Theory of the L-H transition". United States. doi:10.2172/10189786. https://www.osti.gov/servlets/purl/10189786.
@article{osti_10189786,
title = {Theory of the L-H transition},
author = {Hinton, F.L.},
abstractNote = {The theory of the L-H transition in tokamaks is discussed. A transport bifurcation model is presented, which predicts reasonably well several properties of the L-H transition in the DIII-D tokamak, including the evolution in time of the density and temperature profiles. A bifurcation in the radial transport occurs because of a nonlinear feedback mechanism involving the radial electric field. A spontaneous transition is predicted when certain conditions are met; no trigger mechanism is necessary. The predicted profile evolution in H-mode can include a transition to VH-mode, with its characteristically wider transport barrier at the plasma edge. Trigger mechanisms are discussed, as well as the idea of considering the L-H transition as a phase transition.},
doi = {10.2172/10189786},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Sep 01 00:00:00 EDT 1994},
month = {Thu Sep 01 00:00:00 EDT 1994}
}

Technical Report:

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  • Rate constants and kinetic isotope effects for the title reactions were calculated using accurate quantum-dynamical methods, and used to test the accuracy of corresponding rate constants from conventional and variational transition-state theory. The quantum-dynamical rate constants are estimated to be within 35% of the exact rate constants for the potential energy surfaces chosen for this comparison. For all the reactions considered, the conventional and variational transition-state theory rate constants with unit transmission coefficient are found to be very close to each other (better than 7%), but in poor agreement with the accurate quantum results (off by factors of 6-22 atmore » 300K). This indicates that although variational effects are small, tunneling makes a very important contribution to the rate constants, and it is found that the tunneling contribution is described quantitatively for all the reactions considered using the least-action ground state (LAG) transmission coefficient. The combination of improved canonical variational theory (ICVT) and LAG yields rate constants that have an average error (considering all the reactions and temperatures studied) of only 15% compared to the accurate quantal rate constants, and in only one case (D + H/sub 2/ at 200K) does the ICVT/LAG rate constant differ by more than 35% from the accurate value. The comparison of ICVT/LAG kinetic isotope effects is found to be similarly good, with worst comparisons occurring for intramolecular (X+HD) isotope ratios.« less
  • We report improved canonical variational-theory calculations with least-action transmission coefficients for the reactions H + H/sub 2/(n = 1), where n denotes the vibrational quantum number, in both collinear and three dimensional worlds and for three different potential surfaces. Where possible we compare to accurate or more complete quantal calculations and find very good agreement. For the three-dimensional reaction and the most-accurate available potential energy surfaces we compare to all available experimental determinations at 297 to 356 K; the experimental results are larger than the calculated rate constants by factors of (in chronological order) 26, 17, 60, 5, and 8.more » The disagreement is probably due in large part to the difficulty of experiments.« less
  • A linear analysis of the plasma edge identifies edge localized, radial, thermal fluctuations driven by atomic physics and radiation through coupling with a positive temperature dependence of the radial thermal diffusivity. These instabilities are stabilized by a sufficiently large edge radial temperature gradient. A temperature gradient, or conductive edge heat flux, threshold is thus identified. The predicted thermal fluctuation wavelength is consistent with experimental observation. If transport in the (low) L-mode is dominated by thermal fluctuations, then the low to high (L to H) transition would take place when the conductive heat flux to the edge produces an edge temperaturemore » gradient sufficiently large to stablize the edge thermal fluctuations. The predicted consequences following from this postulated mechanism for the L to H transition are in accord with observed phenomena associated with the L to H transition and with the observed parameter dependences of the L to power threshold.« less
  • This paper describes the first observations in NSTX of ‘quiet periods’ in the edge turbulence preceding the L-H transition, as diagnosed by the GPI diagnostic near the outer midplane separatrix. During these quiet periods the GPI Dα light emission pattern was transiently similar to that seen during Hmode, i.e. with a relatively small fraction of the GPI light emission located outside the separatrix. These quiet periods had a frequency of ~3 kHz for at least 30 msec before the L-H transition, and were correlated with changes in the direction of the local poloidal velocity. The GPI turbulence images were alsomore » analyzed to obtain an estimate for the dimensionless poloidal shearing S =(dVp/dr)(Lr/Lp)τ. The values of S were strongly modulated by the quiet periods, but not otherwise varying for at least 30 msec preceding the L-H transition. Since neither the quiet periods nor the shear flow increased significantly immediately preceding the L-H transition, neither of these appears to be the trigger for this transition, at least for these cases in NSTX.« less
  • The turbulence-induced ion banana polarization current associated with steep ion temperature gradients is explored as a possible mechanism for generating poloidal momentum at the tokamak edge. In the light of a recently developed two-dimensional turbulence theory, one can obtain a simple closed expression relating this current (determined by turbulence levels) to the derivatives of the poloidal rotation speed. A self-consistent system, then, emerges, if we balance the turbulence-induced poloidal momentum with that dissipated by viscosity. Under suitable conditions this system may show a bifurcation controlled by a parameter dependent on temperature gradients. Both the bifurcation point, and the shear layermore » width are predicted for a prescribed flow in terms of a scale characterizing the nonlinearity of viscosity. The crucial relevance of the flow parity with the turbulence scenario is analyzed.« less