Linear gyrokinetic theory and computation of the gyrocenter motion based on the exact canonical variables for axisymmetric tokamaks

Xu, Yingfeng; Xiao, Xiaotao; Wang, Shaojie
April 2011
Physics of Plasmas;Apr2011, Vol. 18 Issue 4, p042505
Academic Journal
Linear gyrokinetic theory based on the Lie-transform perturbation method is presented in terms of the exact canonical variables. In the linear drift approximation, it is shown that the gyrocenter equations of motion based on the canonical variables are equivalent to the usual guiding-center equations of motion. A numerical code is developed to advance the gyrocenter motion in terms of the exact canonical variables with arbitrary perturbations. It is found that a static magnetic island in a tokamak has little effect on the trapped particle orbits due to the conservation of the longitudinal invariant; and it induces the island structure of passing particle orbits due to the fact that the longitudinal invariant for the passing particles is broken by the asymmetric perturbation.


Related Articles

  • The interaction of resonant magnetic perturbations with rotating plasmas. Fitzpatrick, R.; Hender, T. C. // Physics of Fluids B: Plasma Physics;Mar91, Vol. 3 Issue 3, p644 

    The penetration of a helical magnetic perturbation into a rotating tokamak plasma is investigated. In the linear regime, it is found that unless the frequency of the imposed perturbation matches closely to one of the natural mode frequencies, reconnection at the rational surface is suppressed by...

  • Edge Localised Modes (ELMs): Experiments and Theory. Connor, J. W.; Kirk, A.; Wilson, H. R. // AIP Conference Proceedings;5/14/2008, Vol. 1013 Issue 1, p174 

    Edge Localised Modes (ELMs) are periodic disturbances of the plasma periphery occurring in tokamaks with an H-mode edge transport barrier. As a result, a fraction of the plasma energy present in the confined hot edge plasma is transferred to the open field lines in the divertor region,...

  • Radial force on the vacuum chamber wall during thermal quench in tokamaks. Pustovitov, V. // Plasma Physics Reports;Dec2015, Vol. 41 Issue 12, p952 

    The radial force balance during a thermal quench in tokamaks is analyzed. As a rule, the duration Ï„ of such events is much shorter than the resistive time Ï„ of the vacuum chamber wall. Therefore, the perturbations of the magnetic field B produced by the evolving plasma cannot penetrate...

  • Asymmetric wall force and toroidal rotation in tokamak disruptions. Strauss, H. // Physics of Plasmas;Aug2015, Vol. 22 Issue 8, p1 

    This paper investigates the scaling of asymmetric wall force and toroidal rotation during tokamak disruptions. It is shown by simulations and analysis how these effects depend on the displacement in an asymmetric vertical displacement event (AVDE) and on 3D magnetic field perturbation amplitude....

  • Modeling of stochastic broadening in a poloidally diverted discharge with piecewise analytic symplectic mapping flux functions. Punjabi, Alkesh; Ali, Halima; Evans, Todd; Boozer, Allen // Physics of Plasmas;Aug2008, Vol. 15 Issue 8, p082507 

    A highly accurate calculation of the magnetic field line Hamiltonian in DIII-D [J. L. Luxon and L. E. Davis, Fusion Technol. 8, 441 (1985)] is made from piecewise analytic equilibrium fit data for shot 115467 3000 ms. The safety factor calculated from this Hamiltonian has a logarithmic...

  • Current singularities at finitely compressible three-dimensional magnetic null points. Pontin, D. I.; Craig, I. J. D. // Physics of Plasmas;Jul2005, Vol. 12 Issue 7, p072112 

    The formation of current singularities at line-tied two- and three-dimensional (2D and 3D, respectively) magnetic null points in a nonresistive magnetohydrodynamic environment is explored. It is shown that, despite the different separatrix structures of 2D and 3D null points, current...

  • Formulation of magnetically perturbed time-dependent density functional theory. Seth, Michael; Ziegler, Tom // Journal of Chemical Physics;10/7/2007, Vol. 127 Issue 13, p134108 

    A formulation of time-dependent density functional theory (TDDFT) in the presence of a static imaginary perturbation is derived. A perturbational approach is applied leading to corrections to various orders in the quantities of interest, namely, the excitation energies and transition densities....

  • Thick-wall effects in the theory of resistive wall modes. Pustovitov, V. D. // Physics of Plasmas;Jun2012, Vol. 19 Issue 6, p062503 

    Magnetic interaction of the plasma perturbations with the nearby resistive wall is considered as a resistive wall mode (RWM) problem, but with two essential differences from the traditional thin-wall approach. First, the wall is treated as magnetically thick, which means that the skin depth is...

  • Transformation of Rice's small perturbation solution for rough surface scattering into the high frequency reciprocal physical and geometric optics solutions. Bahar, Ezekiel // Canadian Journal of Physics;Jun2012, Vol. 90 Issue 6, p557 

    A step by step transformation of the low frequency small height and slope perturbation solution into the high frequency reciprocal and dual, physical and geometrical optic solutions is presented. The familiar Kirchhoff approximations for the fields impressed by the incident plane wave upon the...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics