Table 1
Best-fitting values and relative errors of the parameters of the models on entropy rescaled by K500 (Top) (Eq. (8)) and on entropy rescaled by both K500 and gas fraction (Bottom) (Eq. (9)).
| Subset |
|
α ′ |
|
|
|
|
||||
| z ∈ [ 0.4,0.52 ] | 0.188 ± 0.003 | 1.04 ± 0.01 | – | 2.34 |
| z ∈ [ 0.52,0.77 ] | 0.189 ± 0.002 | 1.04 ± 0.01 | – | 2.0 |
| z> 0.77 | 0.16 ± 0.02 | 1.0 ± 0.1 | 0.04 ± 0.01 | 0.14 |
| CC | 0.192 ± 0.003 | 1.12 ± 0.02 | – | 0.54 |
| NCC | 0.217 ± 0.003 | 0.77 ± 0.01 | – | 1.86 |
|
|
||||
| Subset |
|
α ′′ |
|
|
|
|
||||
| z ∈ [ 0.4,0.52 ] | 0.171 ± 0.002 | 1.13 ± 0.01 | – | 1.26 |
| z ∈ [ 0.52,0.77 ] | 0.179 ± 0.002 | 1.13 ± 0.01 | – | 3.68 |
| z> 0.77 | 0.15 ± 0.01 | 1.16 ± 0.08 | 0.022 ± 0.005 | 0.18 |
| CC | 0.173 ± 0.002 | 1.18 ± 0.01 | – | 0.46 |
| NCC | 0.184 ± 0.005 | 0.97 ± 0.03 | 0.006 ± 0.003 | 1.54 |
Notes. In the bin z> 0.77, we have a value for the central entropy that indicates the presence of many more NCC systems at high redshift. The exponent α and the term K100 are compatible with the prediction of Voit et al. (2005). We also see that the goodness of the fit improves a lot when we correct by the gas fraction.
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