Joint 2D histograms of (top) polarization fraction and column density, (middle) polarization angle dispersion and column density, and (bottom) polarization angle dispersion and fraction. The red line depicts the fit to the observations as presented in Planck Collaboration Int. XIX (2015), . The black lines are the best fits to our simulated data, to which α and β are given in the Table 2. The green lines follow the maximum counts in the 2D histograms as a function of NH, and the bluelines represent a weighted mean of the polarization fractions. Left: normal case. Right: doubled perturbations case. In all cases Rmax = 1 kpc.
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