Research On Theory Of Tokamak Plasma Rotation

Rotation is an important issue for the research of tokamak plasmas, since it is di-rectly related to the transport and it can suppress turbulence. These are crucial to the realization of magnetic confined fusion. However, there exists many unsolved ques-tions in current experiments and theory, among which the most popular question is the ’intrinsic rotation’, namely the phenomena of plasma rotation without apparent mo-mentum source. This phenomena is reported in many experiments and has no obvious law except for a few scaling law. There is no reasonable explanation in theory either. Therefore, it is necessary to take a more careful look at the experimental data to make sure that they are correctly understood. Meanwhile, it is also essential to learn deeper in theory, especially in the field of momentum transport.In this thesis, we did research on the rotation of tokamak plasma in the following aspects:In the first chapter, we reviewed the general situation of the research of tokamak plasma rotation, listing out the existing conclusions and problems.In the second chapter, we reviewed two theory frameworks of plasma, which are the neoclassical transport theory and the gyrokinetic theory. Meanwhile, we introduced two specific topics investigated by the theory mentioned-the Onsager symmetry and the residual parallel Reynolds stress (RPRS). This RPRS was used to the intrinsic rotation.In the third chapter, we investigated the rotation of tokamak plasma which is driv-en by the lower hybrid waves. We combine the neoclassical transport theory with the anomalous transport model equation to simulated the rotation of a four particle plasma driven by the lower hybrid waves and the electric field. We use this method the examine the difference in the toroidal rotation velocity of the trace impurity and the bulk plasma, where the former is the one actually measured. Our simulated toroidal rotation velocity of the trace impurity reasonably agrees with the experiment. And it is shown that the toroidal rotation velocity of the bulk plasma is close to that of the trace impurity.In the fourth chapter, we investigated the residual parallel Reynolds stress using the gyrokinetic turbulence transport equation. We also proved the Onsager symmetry in the electrostatic turbulence. Our research shows that the residual parallel Reynolds stress is composed of four parts-the pressure gradient term and the temperature gradient term, the term correlated to the turbulence acceleration impulse and the term correlated to the turbulence heating rate. The last two terms reveal the momentum redistribution by the inhomogeneity in momentum space and energy space, respectively. These two terms would also cause the analogous residual term in heat flux.