Fig. 5

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Histograms of the deviation angle between the true arrival direction of UHECRs and the one obtained by backtracking through the magnetic field, as reconstructed using local data sampled at three turbulent-to-uniform ratios λ = 0.5, λ = 1, and λ = ∞, for λ defined in Eq. (10). For a value of λ, we considered 100 independent GMFs. The observed arrival direction, the charge, and lab-frame energy were assumed to be known and are (0, 0, −1)T, +e, and 5 × 1019 eV, respectively. The sampling rate (Eq. (15)) was set at ksample = 600 pc. For reference, we also plot the same angle by completely neglecting the effect of the GMF on the particle’s trajectory (red). It can be seen that as λ becomes larger, the deviations in the original direction as obtained by backtracking through the reconstructed GMF and the true arrival direction become more dispersed, while the observed discrepancy diffuses toward smaller angles.
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