Temperature distribution. Left: PDF of the temperature as a function of height. The horizontally averaged mean temperature profile is marked with a dotted line. Note the logarithmic temperature scale. Right: Vertical cut in the middle of the domain of the temperature map. Note the 2D cut of the vortex-like structure highlighted in Fig. 1 between x = 3 and 7 Mm, along with spicular structures, notably at x = 8 Mm, propagating chromospheric temperatures into the TR. An animation covering 71 s, corresponding to 2 solar hours, is available online.