We analyze the evolution of basic properties of the simulated large-scale structure elements formed by the dark matter (DM LSS) The samples of DM "clusters" are selected at several redshifts 0 < z < 4 in the high-resolution simulations with the Minimal Spanning Tree technique. The main properties of selected clusters are analyzed in 3D space. We found that regular redshift variations of mean characteristics of the DM LSS are accompanied by negligible variations of their PDFs which indicates the self-similar character of the DM LSS evolution. The high degree of relaxation of DM particles compressed within the LSS is found along the shorter principal axis of the clusters, while there is a retained expansion and moderate degree of relaxation along the largest axis. The simulated evolution of the DM LSS is compared with the evolution of rich sample of Lyman-a absorbers observed in high-resolution spectra of 19 quasars.
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