Comparison between atmospheric properties between the MURaM-ChE and the Bifrost public snapshot. Panel a: Atmospheric temperature as a function of column mass σ. The two curves show the peak of the temperature distribution of the atmospheres in a given bin of column mass. For MURaM-ChE we show the distribution of the temperature as a 2D histogram which is normalized to the peak of the distribution in a given bin of logarithmic column mass. For both simulations we converted the column mass scale to a geometrical height that is shown on the top horizontal axis of the plot. Panel b: Average nonthermal velocity as function of column mass. The nonthermal velocity is computed as the standard deviation of the vertical velocity within a range of ±1 dex in logarithmic column mass and multiplied by a factor of $\sqrt{2}$.