| The anomalous transport induced by the turbulence is one of the important issue in tokamak plasmas.The turbulence transport can affect the confinement of the tokamak plasma by affecting the density profile,the temperature profile and the rotation profile of plasmas.Based on the Lie-transform method,the Vlasov equation can be written as the Fokker-Planck equation,which can be used to calculate the quasilinear transport driven by the turbulence.In this thesis,we calculate the quasilinear transport driven by the ion cyclotron range of frequencies(ICRF)waves and the ion temperature gradient(ITG)mode by using the Lie-transform method,respectively.In the first work,we have calculated the quasilinear transport driven by the ICRF waves in the slab geometry.In the case with uniform plasma,it is shown that when ICRF waves exist,the inhomogeneity in the velocity space of the equilibrium distribu-tion function can drive the radial transport of particle,energy and parallel momentum,which can redistribute the particle,energy and parallel momentum in the radial direc-tion.The redistribution flux is due to the correlation between the deviation in the real space and the deviation in energy.In the case with non-uniform plasma,we have calcu-lated the ICRF-induced radial transport fluxes driven by the real space inhomogeneity,such as the gradient of density,the gradient of temperature,the gradient of parallel mean flow,in addition to the fluxes driven by the inhomogeneity in the velocity space of the equilibrium distribution.It is found that the ICRF-induced redistribution fluxes driven by the inhomogeneity in the velocity space dominate the fluxes driven by the spatial inhomogeneity,unless the spectrum asymmetry in the poloidal direction is weak.Al-so,we have studied the effect of the parallel flow on the transport.It is found that the equilibrium parallel flow of plasma has a contribution to the fluxes,but the effect is weak.In the second work,we have calculated the quasilinear transport driven by the magnetic drift resonance with the ITG instability in a rotating plasma.It is found that in the quasilinear fluxes,there exist the pinch velocity driven by the curvature of the background magnetic field,which relates to the correlation between the deviation in the spatial space and the deviation in the velocity space.The transport coefficients are cal-culated with the "grad-B model" approximation at first.Based on this approximation,the expression for the radial particle and heat fluxes calculated with the Lie-transform method are similar to the previous results derived from the turbulence equipartition the-ory.The parallel flow and flow shear do not contribute to the particle and heat fluxes,thus the pinches driven by the density gradient and the temperature gradient do not exist in the radial component of parallel viscosity.Then,the quasilinear transport are calculated by treating the magnetic drift reso-nance rigorously,and the dependence of the fluxes on the parameters are studied nu-merically in detail.It is found that the radial particle and heat fluxes can be affected by the parallel flow and flow shear.In the case with relatively strong parallel flow and flow shear,the total heat flux induced by ITG instability can be inward.The pinches driven by the density gradient and the temperature gradient exist in the radial component of parallel viscosity,which is different from the results obtained by adopting the "grad-B model" approximation.By analyzing the contour plot of the integrand of the transport coefficients,the direction of the pinches in the radial heat flux and the parallel viscosity of radial component can be easily determined.It is found that each pinch can be inward or outward,which depends crucially on the resonance condition.The modulation of the quasilinear transport by treating the magnetic drift resonance rigorously is beneficial to the understanding of the transport mechanism. |
