We analyze the stationary configuration of a thin axisymmetric stellar accretion disk, neglecting non-linear terms in the plasma poloidal velocity components. We set up the Grad-Shafranov equation for the system, including the plasma differential rotation (according to the so-called co-rotation theorem). Then, we study the small scale backreaction of the disk to the central body magnetic field and we calculate the resulting radial infalling velocity. We show that the small scale radial oscillation of the perturbed magnetic surface is associated to the emergence of relevant toroidal current densities, able to balance the Ohm law even in the presence of quasi-ideal values of the plasma resistivity. The contribution to the infalling velocity of the averaged backreaction contrasts accretion, but it remains negligible as far as the induced magnetic field is small compared to that of the central body.

我们分析了薄轴对称恒星吸积盘的静止配置，忽略了等离子体极向速度分量中的非线性项。我们为系统建立了 Grad-Shafranov 方程，包括等离子体微分旋转（根据所谓的同向旋转定理）。然后，我们研究了圆盘对中心体磁场的小规模反向反应，并计算了由此产生的径向下降速度。我们表明，扰动磁表面的小尺度径向振荡与相关环形电流密度的出现有关，即使在等离子体电阻率的准理想值存在的情况下，也能够平衡欧姆定律。平均反向反应对下降速度的贡献与吸积形成对比，