The non-linear dynamics of a chain of stationary, saturated magnetic islands is studied by solving a four-field system of equations that include non-ideal effects, lowest order finite Larmor radius corrections and neoclassical terms. The magnetic island rotation velocity is calculated self-consistently with the fields profiles. The solutions for the island rotation velocity and for the ion polarization current are determined as a function of the characteristic parameters of the system and the results are discussed. The results of the calculations show that island rotation velocity and the ion polarization current depend in a non-trivial way on the parameters characterizing the system, and some clear patterns emerge only in particular cases. An analysis of magnetic island rotation velocity is performed on experiments in COMPASS tokamak. Measured island rotation velocity is compared with the calculated ion and electron flow velocities, for different hypotheses on the toroidal rotation of the plasma. The comparison shows that the island rotation velocity is consistent with the ion flow velocity, under the hypothesis of slow toroidal rotation and low collisionality. Theoretical calculation of the island rotation velocity according to the model here developed suggests that the islands rotate weakly in the ion direction, in the hypothesis of slow toroidal rotation and high collisionality. The impossibility of directly measuring the plasma rotation velocity makes it difficult to distinguish between these different regimes.

通过求解包含非理想效应、最低阶有限拉莫尔半径校正和新古典项的四场方程组，研究了一系列静止、饱和磁岛的非线性动力学。磁岛旋转速度与磁场剖面自洽计算。岛旋转速度和离子极化电流的解被确定为系统特征参数的函数，并讨论了结果。计算结果表明，岛旋转速度和离子极化电流取决于表征系统的参数，并且仅在特定情况下才会出现一些清晰的模式。在 COMPASS 托卡马克实验中对磁岛旋转速度进行了分析。对于等离子体环形旋转的不同假设，将测量的岛旋转速度与计算的离子和电子流动速度进行比较。比较表明，在慢环形旋转和低碰撞性假设下，岛旋转速度与离子流速一致。根据这里开发的模型对岛旋转速度的理论计算表明，在缓慢环形旋转和高碰撞性的假设下，岛在离子方向上旋转较弱。由于无法直接测量等离子体旋转速度，因此很难区分这些不同的状态。比较表明，在慢环形旋转和低碰撞性假设下，岛旋转速度与离子流速一致。根据这里开发的模型对岛旋转速度的理论计算表明，在缓慢环形旋转和高碰撞性的假设下，岛在离子方向上旋转较弱。由于无法直接测量等离子体旋转速度，因此很难区分这些不同的状态。比较表明，在慢环形旋转和低碰撞性假设下，岛旋转速度与离子流速一致。根据此处开发的模型对岛旋转速度的理论计算表明，在缓慢环形旋转和高碰撞性的假设下，岛在离子方向上旋转较弱。由于无法直接测量等离子体旋转速度，因此很难区分这些不同的状态。在缓慢环形旋转和高碰撞性的假设中。由于无法直接测量等离子体旋转速度，因此很难区分这些不同的状态。在缓慢环形旋转和高碰撞性的假设中。由于无法直接测量等离子体旋转速度，因此很难区分这些不同的状态。