Magnetic field line diffusion coefficient and Kolmogorov entropy in the percolation regime

We report on the numerical computation of the diffusion coefficient D⊥D⊥ and Kolmogorov entropy h   of magnetic field lines extending from the quasilinear up to the percolation regime, using a numerical code where one can change both the turbulence level δB/B0δB/B0 and the turbulence anisotropy l∥/l⊥l∥/l⊥. For the diffusion coefficient, we find that the percolation scaling is reproduced. On the contrary, we find that the proposed percolation scaling of h is not reproduced, but rather a saturation of h   is obtained. Also, we find that the Kolmogorov entropy depends only on the Kubo number R=(δB/B0)(l∥/l⊥)R=(δB/B0)(l∥/l⊥), and not separately on δB/B0δB/B0 and l∥/l⊥l∥/l⊥. We apply the results to electron transport in solar coronal loops, which involves the use of the Rechester and Rosenbluth diffusion coefficient, and show that the study of transport in the percolation regime is required.