a) Mean radial column density profile observed perpendicular to the B211 filament and displayed in log-log format, for both the northern (blue curve) and the southern part (red curve) of the filament. The yellow area shows the (±1σ) dispersion of the distribution of radial profiles along the filament. The inner solid purple curve shows the effective 18.2′′ HPBW resolution (0.012 pc at 140 pc) of the column density map (online Fig. 1 – see Appendix A for details) used to construct the profile. The northern and southern column density profiles are very similar up to r ~ 0.4 pc (vertical dashed line) and differ significantly only for r > 0.4 pc, due to different background levels on either side of the filament. The dashed black curve shows the best-fit Plummer model (convolved with the 18.2′′ beam) described by Eq. (1) with p = 2.0 ± 0.4 and Rflat = 0.03 ± 0.01 pc for r ≤ 0.4 pc, and including a separate linear baseline on each side representing the background for r > 0.4 pc (see Eq. (B1) in Appendix B, for details). The dashed curve in light green shows a Gaussian fit to the central part of the profile (mean deconvolved FWHM width ~0.09 ± 0.02 pc). b) Mean dust temperature profile measured perpendicular to the B211 filament and displayed using a linear scale (black curve). The solid red curve shows the best model temperature profile obtained by assuming that the filament has a density profile given by the Plummer model shown in a) and obeys a polytropic equation of state, , and thus T(r) ∝ ρp(r)(γ − 1). This best fit has γ = 0.97 ± 0.01.
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