Micro-instability In The Magnetized Plasma Turbulence Theory

The theory about micro-instability and turbulence in magnetized plasmas is dissertated in some detailed. First, the basic methods and equations describing plasma physics are reviewed. And then, the conventional physical models and studying method of plasma turbulence transport theory are introduced and discussed. A new transport model, which is called as Lagrange transport theory, is suggested. Some new and bewildering phenomena founding in tokamak plasma experiments such as non-local transport, particle flux or heat flux pinch and steady hollow temperature (current) profile in reversed magnetic shear plasmas may be easily explained applying the new model. In the third section, we give some detail works on plasma micro-instability and turbulence during our doctoral period. The first is that the effects of the magnetic curvature on the resistive interchange mode in tokamak plasmas. It is shown that the poloidal component of the magnetic curvature makes the dispersion relation of the mode change. Both the growth rate of the instability and the mode structure are changed in presence of the poloidal component of the magnetic curvature. Meanwhile, the bad magnetic field region is enlarged. The second is that the Lagrangian invariant of trapped electron dynamics in tokamaks. It is shown that the trapped electron fluid is a typical Lagrange system. Lagrangian invariant marking relaxed state of the system is obtained analytically. Compared with some experimental results, agreement is found qualitatively. The third is that the renormalization study of parallel dynamic equation. As an extension of the renormalization group theory treating nonlinear interaction in spatial space, a renormalization theory dealing with linear and nonlinear interaction in velocity space is developed. The renormalized coefficients of parallel dynamic equation for collision plasmas are derived. It is suggested as a mathematical approach in plasma turbulence theory and other field. And the final is that the study on zonal flow driven by ion-temperature-gradient mode. Employed four-wave-interaction model, the relations between the growth rate of zonal flow and pumping drift wave are obtained. It is found that the zonal flow with large-scale may be driven by ion-temperature-gradient mode. Some problems and suggestions for next step are discussed in the fourth section.