Application of plasma physics constraints to confinement data

A subset of the ITER L-mode and H-mode confinement data is tested against the constraints imposed by various theoretical models for thermal plasma transport. Matrix algebra is used to facilitate such tests. A new result obtained is that the fundamental constraint imposed by the high-β collisional Fokker-Planck equation (Kadomtsev) is satisfied by the data. An additional constraint on the characteristic scale length associated with thermal diffusion can also be satisfied by the data. Dimensionally correct empirical scaling laws embodying theoretical constraints can thus be derived.

[1]  Robert James Goldston Energy confinement scaling in Tokamaks: some implications of recent experiments with Ohmic and strong auxiliary heating , 1984 .

[2]  Tadashi Sekiguchi,et al.  Plasma Physics and Controlled Nuclear Fusion Research , 1987 .

[3]  E. Frieman,et al.  Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria , 1981 .

[4]  J. W. Connor,et al.  Scaling laws for plasma confinement , 1977 .

[5]  Waltz,et al.  Magnetic-field scaling of dimensionally similar tokamak discharges. , 1990, Physical review letters.

[6]  F. Ryter,et al.  SPECIAL TOPIC: Global energy confinement H-mode database for ITER , 1992 .

[7]  Kurt S. Riedel,et al.  Uncertainties associated with extrapolating L-mode energy confinement to ITER and CIT , 1990 .

[8]  J. Connor Invariance principles and plasma confinement , 1988 .

[9]  S. M. Kaye,et al.  Global energy confinement scaling for neutral-beam-heated tokamaks , 1985 .

[10]  Nermin A. Uckan,et al.  Status of global energy confinement studies , 1990 .

[11]  K. Lackner,et al.  Tokamak Confinement in Relation to Plateau Scaling , 1990 .

[12]  J. Cordey,et al.  A unified physical scaling law for tokamak energy confinement , 1990 .

[13]  J. Cordey,et al.  Modelling of temperature profiles and transport scaling in auxiliary heated tokamaks , 1987 .

[14]  K. Riedel Dimensionality correct power law scaling expressions for L-mode confinement , 1991, 1804.00058.

[15]  W. K. Hagan,et al.  Nonlinear gyrokinetic theory, the direct interaction approximation, and anomalous thermal transport in tokamaks , 1986 .