Spatial distribution of characteristic quantities for one realization of a merger tree. The example shows a cluster with M_clust = 10¹⁵ M_⊙ at ɀ = 0, which has been modelled starting at ɀ_max = 4. Each column corresponds to a different value of redshift, as indicated on top. (A) Central 2D slice of the 3D distribution of the electron density. (B) Central 2D slice of the 3D distribution of the turbulent velocity. (C) Central 2D slice of the 3D distribution of the line-of-sight component of the magnetic field. (D) Rotation measure map. (E) Probability distribution function of the RM maps. The red lines correspond to a fit of the histogram data with a Gaussian distribution with the corresponding standard deviation of the Gaussian distribution, σ_RM, shown in the legend. The mean of the RM distribution is ≈0 rad m⁻², as expected for the random magnetic fields.