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Simulations, Data Analysis and Algorithms

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Figure 3 | Computational Astrophysics and Cosmology

Figure 3

From: Achieving convergence in galaxy formation models by augmenting N-body merger trees

Figure 3

Convergence of the conditional mass function. Left panel: Convergence of the conditional mass function with the \(\epsilon_{0}\) parameter. Lines show the conditional mass function at \(z=1.08\) of halos which merge to become part of halos of mass \(\log _{10}(M_{\mathrm{p}}/{\mathrm{M}}_{\odot})=13.42\mbox{-}13.66\) by \(z=0\), as a function of the progenitor halo mass normalized to the \(z=0\) halo mass. The blue line indicates the original Millennium trees (with the shaded region indicating the 1-σ Poisson error bars due to the finite number of trees analyzed), while the pale pink line shows results for trees after mass pruning to a resolution of \(7.08\times10^{10}{\mathrm{M}}_{\odot}\). The three green lines indicate results for trees augmented to a resolution of \(2.5\times10^{9}{\mathrm{M}}_{\odot}\) using our method for three different values of \(\epsilon_{0}\), as indicated in the panel. Right panel: The same conditional mass function as in the left panel, with blue and pale pink lines again showing results for the original and pruned trees. Remaining lines show results after augmenting trees to different mass resolutions as indicated in the panel. All cases use \(\epsilon_{0}=0.15\).

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