In this paper we study some aspects related to the spatial relative diffusion of the magnetic-field lines. The nonlinear integral equation for the Lagrangian correlation is transformed into a system of two ordinary differential equations and solved numerically. The system of linear integro-differential equations for the moments is analysed numerically for different values of the -parameter (which is proportional to the ratio of parallel and perpendicular correlation lengths). A critical value for is obtained in a shearless stochastic magnetic-field model. For the rate of damping of the anisotropy becomes complex, that means an oscillatory behaviour for the correlations and anisotropies. For we find the well known behaviour described in the literature for .