Evolution of the concentration parameter c, the temperature T, the electron density n_e, the turbulent velocity υ_turb, the turbulent driving scale L₀, and the equipartition magnetic field B_equ, as a function of the redshift ɀ. Each colour represents a different merger tree configuration with a given mass M_cıust of our modelled cluster at z = 0. The mass resolution is the same in all cases, i.e. M_cıust/M_res = 10⁻³. Each merger tree mass configuration is also computed for ɀ_max = 2-4, where vertical grey dotted lines represent the starting point of the merging process. The solid lines represent the evolution of the plasma quantities without turbulent decay. The coloured dotted lines correspond to the evolution of plasma quantities with turbulent decay according to power laws given by Eqs. (9) and (10). Each line represents, at a given redshift, the skew-normal median of N_tree = 10³ merger trees. The grey area corresponds to the part of the merger trees we neglect in the subsequent analysis.