Abstract
By considering a range of CDM simulations we further investigate the scaling relation for voids within the distribution of dark matter haloes and other properties of underdense regions. The scaling relation of voids for dark matter haloes with increasing mass thresholds is even steeper than that for samples of galaxy-mass haloes where we sparsely sample the data. This shows the stronger clustering of more massive haloes. Further, we find a correlation of the void size to its central and environmental average density. We study the evolution of the void size distribution of dark matter haloes at redshifts up to za 3 measuring the sizes in comoving coordinates. While there is little sign of evolution in samples of small DM haloes with vcirc < 90 km s 21 , voids in haloes with circular velocity over vcirca 200 km s 21 are larger at redshift za 3 owing to the smaller halo number density. The flow of dark matter from the underdense to overdense regions in an early established network of large-scale structure is also imprinted in the evolution of the density profiles with a relative density decrease in void centres by DOr/ rU . 0:18 per redshift unit between za 3 and 0.
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