  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.
