Global Gyrokinetic Stability of Temperature-Gradient-Driven Trapped Ion Modes with Magnetic Shear

References

• Artun , M. , Tang , W. M. and Rewoldt , G. 1995 . Trapped ion mode in toroidally rotating plasmas. . Phys. Plasmas , 2 : 3384 – 3400 .
   Web of Science ®Google Scholar
• Cohen , B. I. , Tang , W. M. , Krommes , J. A. and Rosenbluth , M. N. 1975 . Nonlin-ear saturation of the dissipative Trapped-ion mode by mode coupling. . Nucl. Fusion , 16 : 971 – 992 .
   Web of Science ®Google Scholar
• Depret , G. , Garbet , X. , Bertrand , P. and Ghizzo , A. 2000 . Trapped-ion driven turbulence in tokamak plasmas. . Plasma Phys. Control. Fus , 42 : 949 – 971 .
   Web of Science ®Google Scholar
• Dimits , A. M. , Cohen , B. I. , Nevins , W. M. and Shumaker , D. E. 2001 . Parameter dependances of ion thermal transport due to toroidal ITG turbulence. . Nucl. Fusion , 40 : 1725 – 1732 .
   Web of Science ®Google Scholar
• Eyink , G. L. and Screenivasan , K. R. 2006 . Onsager and the theory of hydrodynamic turbulence. . Rev. Modern Physics , 78 : 87 – 134 .
   Google Scholar
• Fyfe , D. and Montgomery , D. 1979 . Possible inverse cascade behaviour for drift-wave turbulence. . Phys. Fluids , 22 : 246 – 248 .
   Web of Science ®Google Scholar
• Gambier , D. J. and Samain , A. 1985 . Variational theory of ion cyclotron resonance heating in tokamak plasmas. . Nuclear Fusion , 25 : 283 – 289 .
   Web of Science ®Google Scholar
• Garbet , X. 2001 . Turbulence in fusion plasmas: key issues and impact on transport modelling. . Plasma Phys. Control. Fus , 43 : 1251 – A266 .
   Google Scholar
• Garbet , X. , Laurent , L. , Mourgues , F. , Roubin , J. P. and Samain , A. 1990 . Variational calculation of electromagnetic Instabilities in tokamaks. . J. Comput. Phys. , 87 : 249 – 269 .
   Web of Science ®Google Scholar
• Garbet , X. , Laurent , L. , Mourgues , F. , Roubin , J. P. , Samain , A. and Zou , X. L. 1992 . Ionic instability thresholds in tokamaks. . Phys. Fluids , B4 : 136 – 144 .
   Google Scholar
• Garbet , X. , Laurent , L. and Samain , A. 1994 . Nonlinear electrostatic turbulence. . Phys. Plasm , 1 : 850 – 862 .
   Web of Science ®Google Scholar
• Ghizzo , A. , Bertrand , P. , Shoucri , M. , Fijalkow , E. and Feix , M. 1993 . Study of the diffusion across a magnetic field in a beam-plasma interaction using a drift-kinetic Vlasov code. . Phys. Fluids B , 5 : 4312
   Google Scholar
• Grandgirard , V. , Brunetti , M. , Bertrand , P. , Besse , N. , Garbet , X. , Ghendrih , P. , Manfredi , G. , Sarazin , Y. , Sauter , O. , Sonnendrücker , E. , Vaclavik , J. and Villard , L. 2006 . A drift-kinetic semi-lagrangian 4D code for ion turbulence simulation. . J. Comput. Phys , 217 : 395 – 423 .
   Web of Science ®Google Scholar
• Hahm , T. S. and Tang , W. M. 1996 . Nonlinear theory of collisionless trapped ion modes. . Phys. Plas. , 3 : 242 – 247 .
   Web of Science ®Google Scholar
• Hasegawa , A. and Mima , K. 1977 . Stationary spectrum of strong turbulence in magnetized nonuniform plasmas. . Phys. Rev. Lett , 39 : 205 – 208 .
   Web of Science ®Google Scholar
• Hasegawa , A. and Wakatani , M. 1983 . Plasma edge turbulence. . Phys. Rev. Lett , 50 : 682 – 686 .
   Web of Science ®Google Scholar
• Horton , W. 1999 . Drift waves and transport. . Rev. Modern Phys. , 71 ( 3 ) : 735 – 778 .
   Google Scholar
• Horton , W. and Ichikawa , Y. H. 1996 . Chaos and structures in nonlinear Plasmas , Singapore, London, New York : World Scientific Publishing .
   Google Scholar
• Idomura , Y. , Tokuda , S. and Kishimoto , Y. 2003 . Global gyrokinetic simulation of ion temperature gradient driven turbulence in plasmas using canonical Maxwellian distribution. . Nucl. Fusion , 43 : 234 – 243 .
   Web of Science ®Google Scholar
• Jenko , F. and Dorland , W. 2001 . Nonlinear electromagnetic gyrokinetic simulation of tokamak plasmas. . Plasma Phys. Control. Fusion , 43 : A141 – A150 .
   Web of Science ®Google Scholar
• Kadomtsev , B. B. and Pogutse , O. P. 1971 . Trapped particles in toroidal magnetic systems. . Nucl. Fusion , 11 : 67 – 92 .
   Web of Science ®Google Scholar
• Kolmogorov , A. N. 1941 . Dokl. Akad. Nauk SSSR , 32 : 16 see also (1962) J. Fluid Mech. 13:82.
   Google Scholar
• Kraichnan , R. H. 1975 . Statistical dynamics of two-dimensional flow . J. Fluid Mech , 67 : 155 – 175 . see also (1967) Inertial ranges in two-dimensional turbulence. Phys. Fluids 10: 1417–1424.
   Web of Science ®Google Scholar
• Laquey , R. F. , Mahajan , S. M. , Rutherford , P. H. and Tang , W. M. 1975 . Nonlinear saturation of the trapped ion modes. . Phys. Rev. Lett , 34 : 391 – 394 .
   Web of Science ®Google Scholar
• Lee , W. W. 1987 . Gyrokinetic particle simulation model. . J. Comput. Phys , 72 : 243 – 269 .
   Web of Science ®Google Scholar
• Manfredi , G. , Shoucri , M. , Dendy , R. O. , Ghizzo , A. and Bertrand , P. 1996 . Vlasov approximation simulations of ion-temperature -gradient driven instabilities. . Phys. Plasmas , 3 : 202 – 217 .
   Web of Science ®Google Scholar
• Ottaviani , M. , Romanelli , F. , Benzi , R. , Briscolini , M. , Santangelo , P. and Succi , S. 1990 . Numerical simulations of ion temperature gradient-driven turbulence. . Phys. of Fluids B , 2 : 67 – 74 .
   Web of Science ®Google Scholar
• Parker , S. E. , Lee , W. W. and Santoro , R. A. 1993 . Global kinetic simulation of ion temperature Gradient driven turbulence in 3D toroidal geometry. . Phys. Rev. Lett , 71 : 2042 – 2045 .
   PubMed Web of Science ®Google Scholar
• Rosenbluth , M. N. 1968 . Low frequency limit of interchange instability. . Phys. Fluids , 11 : 869 – 873 .
   Web of Science ®Google Scholar
• Samain , A. 1970 . Dynamic stabilization of a confined plasma. . Nuclear Fusion , 10 : 325 – 335 .
   Web of Science ®Google Scholar
• Samain , A. 1972 . Inward diffusion of tokamak-trapped particles by slow magnetic pumping. . Nuclear Fusion , 12 : 577 – 585 .
   Web of Science ®Google Scholar
• Sarazin , Y. , Grandgirard , V. , Fleurence , E. , Garbet , X. , Ghendrih , P. , Bertrand , P. and Depret , G. 2005 . Kinetic features of interchange turbulence. . Plasm. Phys. Contro. Fus , 47 : 1817 – 1839 .
   Web of Science ®Google Scholar
• Sydora , R. D. , Decyk , V. K. and Dawson , J. M. 1996 . Plasm. Phys. Control. Fus , 38 : A281
   Web of Science ®Google Scholar
• Terry , P. W. 2004 . Inverse energy transfer by near-resonant interactions with a damped-wave spectrum. . Phys. Rev. Lett , 93 : 235004-1 – 235004-4 .
   Google Scholar
• Terry , P. W. , Gatto , R. and Baver , D. A. 2002 . Nonlinear damping of plasma zonal flows excited by inverse spectral transfer. . Phys. Rev. Lett , 89 : 205001-1 – 2015001-4 .
   Google Scholar