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Title: Nonlinear transport processes in tokamak plasmas. I. The collisional regimes

Abstract

An application of the thermodynamic field theory (TFT) to transport processes in L-mode tokamak plasmas is presented. The nonlinear corrections to the linear ('Onsager') transport coefficients in the collisional regimes are derived. A quite encouraging result is the appearance of an asymmetry between the Pfirsch-Schlueter (P-S) ion and electron transport coefficients: the latter presents a nonlinear correction, which is absent for the ions, and makes the radial electron coefficients much larger than the former. Explicit calculations and comparisons between the neoclassical results and the TFT predictions for Joint European Torus (JET) plasmas are also reported. It is found that the nonlinear electron P-S transport coefficients exceed the values provided by neoclassical theory by a factor that may be of the order 10{sup 2}. The nonlinear classical coefficients exceed the neoclassical ones by a factor that may be of order 2. For JET, the discrepancy between experimental and theoretical results for the electron losses is therefore significantly reduced by a factor 10{sup 2} when the nonlinear contributions are duly taken into account but, there is still a factor of 10{sup 2} to be explained. This is most likely due to turbulence. The expressions of the ion transport coefficients, determined by themore » neoclassical theory in these two regimes, remain unaltered. The low-collisional regimes, i.e., the plateau and the banana regimes, are analyzed in the second part of this work.« less

Authors:
;  [1]
  1. EURATOM--Belgian State Fusion Association, Universite Libre de Bruxelles, Bvd du Triomphe, Campus de la Plaine, C.P. 231, Building NO, Brussels B-1050 (Belgium)
Publication Date:
OSTI Identifier:
21120434
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 15; Journal Issue: 6; Other Information: DOI: 10.1063/1.2939377; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BANANA REGIME; COMPARATIVE EVALUATIONS; CORRECTIONS; L-MODE PLASMA CONFINEMENT; NEOCLASSICAL TRANSPORT THEORY; NONLINEAR PROBLEMS; PLASMA; THERMODYNAMICS; TOKAMAK DEVICES; TURBULENCE

Citation Formats

Sonnino, Giorgio, and Peeters, Philippe. Nonlinear transport processes in tokamak plasmas. I. The collisional regimes. United States: N. p., 2008. Web. doi:10.1063/1.2939377.
Sonnino, Giorgio, & Peeters, Philippe. Nonlinear transport processes in tokamak plasmas. I. The collisional regimes. United States. https://doi.org/10.1063/1.2939377
Sonnino, Giorgio, and Peeters, Philippe. 2008. "Nonlinear transport processes in tokamak plasmas. I. The collisional regimes". United States. https://doi.org/10.1063/1.2939377.
@article{osti_21120434,
title = {Nonlinear transport processes in tokamak plasmas. I. The collisional regimes},
author = {Sonnino, Giorgio and Peeters, Philippe},
abstractNote = {An application of the thermodynamic field theory (TFT) to transport processes in L-mode tokamak plasmas is presented. The nonlinear corrections to the linear ('Onsager') transport coefficients in the collisional regimes are derived. A quite encouraging result is the appearance of an asymmetry between the Pfirsch-Schlueter (P-S) ion and electron transport coefficients: the latter presents a nonlinear correction, which is absent for the ions, and makes the radial electron coefficients much larger than the former. Explicit calculations and comparisons between the neoclassical results and the TFT predictions for Joint European Torus (JET) plasmas are also reported. It is found that the nonlinear electron P-S transport coefficients exceed the values provided by neoclassical theory by a factor that may be of the order 10{sup 2}. The nonlinear classical coefficients exceed the neoclassical ones by a factor that may be of order 2. For JET, the discrepancy between experimental and theoretical results for the electron losses is therefore significantly reduced by a factor 10{sup 2} when the nonlinear contributions are duly taken into account but, there is still a factor of 10{sup 2} to be explained. This is most likely due to turbulence. The expressions of the ion transport coefficients, determined by the neoclassical theory in these two regimes, remain unaltered. The low-collisional regimes, i.e., the plateau and the banana regimes, are analyzed in the second part of this work.},
doi = {10.1063/1.2939377},
url = {https://www.osti.gov/biblio/21120434}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 6,
volume = 15,
place = {United States},
year = {Sun Jun 15 00:00:00 EDT 2008},
month = {Sun Jun 15 00:00:00 EDT 2008}
}