Magnetic field profile along the cluster-to-cluster distance. Upper panel: average profile of mass-weighted magnetic field strength resulting from the B₀ = 0.1 nG model for all inter-cluster filaments (black), extracted to resemble the cluster pair RXC_J1155−J1156; for the best subsample (red); and for a sample of images sampling an equal linear size (15 Mpc) extracted at random locations in the simulation (orange). The solid lines give the median values of the samples, while the filled areas encompass the 10−90th percentiles of the distributions. Lower panel: same plot, but for the mock sample extracted for RXC_J1659−J1702.