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Title: Collisionless kinetic-fluid model of zonal flows in toroidal plasmas

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.2435329· OSTI ID:20974832
; ;  [1]
  1. National Institute for Fusion Science, Graduate University for Advanced Studies, Toki 509-5292 (Japan)

A novel kinetic-fluid model is presented, which describes collisionless time evolution of zonal flows in tokamaks. In the new zonal-flow closure relations, the parallel heat fluxes are written by the sum of short- and long-time-evolution parts. The former part is given in the dissipative form of the parallel heat diffusion and relates to collisionless damping processes. The latter is derived from the long-time-averaged gyrocenter distribution and plays a major role in describing low-frequency or stationary zonal flows, for which the parallel heat fluxes are expressed in terms of the parallel flow as well as the nonlinear-source and initial-condition terms. It is shown analytically and numerically that, when applied to the zonal flow driven by either ion or electron temperature gradient turbulence, the kinetic-fluid equations including the new closure relations can reproduce the same long-time zonal-flow responses to the initial condition and to the turbulence source as those obtained from the gyrokinetic model.

OSTI ID:
20974832
Journal Information:
Physics of Plasmas, Vol. 14, Issue 2; Other Information: DOI: 10.1063/1.2435329; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
Country of Publication:
United States
Language:
English