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Fig. A.3.


Left panel: deprojected entropy profiles, including the values of the innermost entropy obtained by extrapolating from the fit at large radii from the ACCEPT catalog (Cavagnolo et al. 2009). We show as a light gray dashed line the best-fitting power-law model to the inner entropy profiles as K ∝ rα, with α varying between 0.65 and 0.9 (K ∝ r2/3; Panagoulia et al. 2013; Babyk et al. 2018) in the central region (labeled in the bottom left of the panel; Werner et al. 2019). We also overplot as a dark gray dashed line a standard cluster entropy profile (External) with scaling law as K ∝ rβ, with β ranging from 1.1 to 1.2. (K ∝ r1.1; Voit et al. 2015; Babyk et al. 2018). The best fits are given in the legend in the upper left of the panel. A Panagoulia profile has also been added with a dotted blue line (Panagoulia et al. 2013) and K ∝ r1.1 profile (Hogan et al. 2017). Middle panel: ratio of the cooling time to free-fall time, tcool/tff, as a function of radius. We highlight tcool/tff = 10 and 20 with horizontal dashed lines because this appears to be the approximate threshold for onset of thermal instabilities in our sample. Right panel: cooling (red curve) and turbulence eddy turnover timescales (blue curve). We also indicate the radius at which the filaments are located (vertical dotted gray line), 10 × tff as a function of radius (dashed green line; see legend at the upper right of the panel). In the left and middle panels, the radial extent of the largest filament is indicated by the colored cross.

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