Radial profile of the emission at about 1 keV for the SN1006 remnant in logarithmic scale (asterisks). The thick red line corresponds to the model integrated along the line of sight for synchrotron-loss-dominated transport downstream, diffusive transport close upstream (as in Fig. 1), and superdiffusive transport far upstream (in the flatter tail of the profile). The dashed red line corresponds to the model integrated along the line of sight for synchrotron-loss-dominated transport downstream, and a profile following the modeling by Bell (1978) upstream. The profile refers to the filament shown in Fig.1 of Morlino et al. (2010).