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Symmetries of and entropy production by transport in toroidal confinement systems

Published online by Cambridge University Press:  01 June 1998

H. SUGAMA
Affiliation:
National Institute for Fusion Science, Toki 509–52, Japan
W. HORTON
Affiliation:
Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712, USA

Abstract

A synthesized formulation of classical, neoclassical and anomalous transport in toroidal confinement systems with electromagnetic fluctuations and large mean flows is presented. The positive-definite entropy production rate and the conjugate flux–force pairs are rigorously defined for each transport process. The Onsager symmetries of the classical and neoclassical transport matrices are derived from the self-adjointness of the linearized collision operator. The linear gyrokinetic equation with given electromagnetic fluctuations determines the anomalous fluxes with the quasilinear anomalous transport matrix, which satisfies the Onsager symmetry.

Type
Research Article
Copyright
© 1998 Cambridge University Press

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