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Table 3

Value of the polytropic index, dependence on concentration, and evolution with redshift.

Polytropic index γ
Subset Mean Stacked

z ∈ [ 0.4,0.52 ] 0.935 ± 0.008 0.942 ± 0.008
z ∈ [ 0.52,0.77 ] 0.996 ± 0.009 0.906 ± 0.006
z> 0.77 1.076 ± 0.031 1.041 ± 0.018

γ = m·cNFW + q
Method m q

Chi-squared 0.0004 ± 0.0057 0.98 ± 0.03
MCMC 0.031 ± 0.020 0.98 ± 0.09
Ascasibar+06 0.005 ± 0.002 1.145 ± 0.007
Komatsu+01 0.01 1.085

γ = m·z + q
Method m q

Chi-squared 0.05 ± 0.05 0.94 ± 0.03
MCMC 0.24 ± 0.22 0.97 ± 0.14
Mean 0.29 ± 0.05 0.80 ± 0.030
Stacked 0.11 ± 0.03 0.86 ± 0.02

Notes. Top: values and errors on the polytropic index for the three redshift bins considering the mean and stacked values. We observe evolution with a significance greater than 2σ. Middle: fit of left panel of Fig. 10 using different methods and compared with previous theoretical work. Bottom: fit of right panel of Fig. 10 using different methods.

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