Electron temperature gradient instability in toroidal plasmas

Electron temperature gradient (ETG) driven instability in toroidal plasmas is studied with gyrokinetic theory. The full electron kinetics including finite Larmor radius effects, toroidal (curvature and magnetic gradient) drift motion ωD, and transit k∥v∥, is considered. The upgraded numerical scheme for solving the integral eigenvalue equations allows the study of both growing and damping modes, and thus direct calculation of critical gradient. A systematic parameter study is carried out for low β(=plasma pressure/magnetic pressure) circular flux surface equilibria. The basic characteristics of the modes are discussed. The scaling of the critical gradient with respect to toroidicity and to the ratio of electron temperature over ion temperature is obtained. Estimation for the transport induced by the modes is given.

[1]  H. Sanuki Effects of an Ambipolar Field on Stability of Flute Modes in a Bumpiless Cylinder , 1983 .

[2]  C. Forest,et al.  Transport and performance in DIII-D discharges with weak or negative central magnetic shear , 1996 .

[3]  J. Stober,et al.  Experimental evidence for gradient length-driven electron transport in tokamaks. , 2001, Physical review letters.

[4]  M. Wakatani,et al.  Gyrokinetic theory of slab electron temperature gradient mode in negative shear tokamaks , 1999 .

[5]  A. Fukuyama,et al.  Solitary radial electric field structure in tokamak plasmas , 1997 .

[6]  Fulvio Zonca,et al.  Study of kinetic shear Alfvén modes driven by ion temperature gradient in tokamak plasmas , 1999 .

[7]  Experimental studies of electron transport , 2001 .

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

[9]  Gregory W. Hammett,et al.  Toroidal gyrofluid equations for simulations of tokamak turbulence , 1996 .

[10]  Liu,et al.  Model for thermal transport in tokamaks. , 1986, Physical review letters.

[11]  Itoh Model of L- to H-mode transition in tokamak. , 1988, Physical review letters.

[12]  Gyrokinetic simulation of isotope effects in tokamak plasmas , 1997 .

[13]  G. Rewoldt,et al.  Toroidal microinstability studies of high‐temperature tokamaks , 1990 .

[14]  R. Budny,et al.  Experimental determination of critical threshold in electron transport on Tore Supra. , 2001, Physical review letters.

[15]  Liu Chen,et al.  The long‐wavelength limit of the ion‐temperature gradient mode in tokamak plasmas , 1991 .

[16]  W. Horton,et al.  Coupling of ηi and trapped electron modes in plasmas with negative magnetic shear , 1997 .

[17]  T. Hahm,et al.  Turbulent transport reduction by zonal flows: massively parallel simulations , 1998, Science.

[18]  J. Dong,et al.  Kinetic quasitoroidal ion temperature gradient instability in the presence of sheared flows , 1993 .

[19]  W. Horton,et al.  Toroidal kinetic ηi‐mode study in high‐temperature plasmas , 1992 .

[20]  F. Jenko,et al.  Electron temperature gradient turbulence. , 2000, Physical review letters.

[21]  H. Sanuki,et al.  Experimental study of the bifurcation nature of the electrostatic potential of a toroidal helical plasma , 2000 .

[22]  Frank Jenko,et al.  Electron temperature gradient driven turbulence , 1999 .

[23]  H. Wilhelmsson,et al.  Review of plasma physics: Vol. 1 (ed. M. A. Leontovich, Consultants Bureau, New York, 1965) pp. 326, $ 12.50 , 1966 .

[24]  F. Leuterer,et al.  Experimental characterization of the electron heat transport in low-density ASDEX upgrade plasmas. , 2001, Physical review letters.

[25]  G. Hammett,et al.  Gyrofluid simulations of turbulence suppression in reversed-shear experiments on the Tokamak Fusion Test Reactor , 1997 .

[26]  B. G. Hong,et al.  Toroidal electron temperature gradient driven drift modes , 1988 .

[27]  J. Weiland,et al.  Simulation of toroidal drift mode turbulence driven by temperature gradients and electron trapping , 1990 .

[28]  E. Joffrin,et al.  Magnetic shear effects on confinement and electron heat transport in Tore Supra discharges with electron heating , 1998 .

[29]  K. Itoh,et al.  REVIEW ARTICLE: The role of the electric field in confinement , 1996 .

[30]  Frank Jenko,et al.  Critical gradient formula for toroidal electron temperature gradient modes , 2001 .

[31]  R. Waltz,et al.  Electron heat transport in improved confinement discharges in DIII-D , 1998 .

[32]  H. Sugama Damping of toroidal ion temperature gradient modes , 1999 .

[33]  H. Sanuki,et al.  Gyrokinetic study of the electron temperature gradient instability in plasmas with slightly hollow density profiles , 2001 .

[34]  Hiroshi Shirai,et al.  Recent experimental and analytic progress in the Japan Atomic Energy Research Institute Tokamak-60 Upgrade with W-shaped divertor configuration , 1998 .

[35]  Y. C. Lee,et al.  Collisionless electron temperature gradient instability , 1987 .

[36]  J. Václavík,et al.  Global approach to the spectral problem of microinstabilities in tokamak plasmas using a gyrokinetic model , 1998 .