Redshift number density of our different samples of absorption lines associated with our cluster pairs (i.e. using our fiducial values of Δd = 3 Mpc and Δv = 1000 km s−1), as a function of minimum rest-frame equivalent width |$W_{\rm r}^{\rm min}$|. The top panels show the results for our total H i (left-hand panel) and O vi (right-hand panel), while the bottom panels show the results for narrow (NLA; b < 50 km s−1) and broad (BLA; b ≥ 50 km s−1) H i, using the same colour/symbol convention as in Figs 6–10. Note that bins are not independent from each other, as emphasized by the light coloured areas. The field distributions estimated from our Q1410 sightline are represented by the dashed line with its ±1σ uncertainty represented by the darker grey region. The total number of lines per bin are given in grey numbers on top and bottom of each panel, for our cluster pairs and field samples respectively. See Section D for further details.
