Statistical characteristics of simulated walls

The large scale matter distribution in three different simulations of CDM models is investigated and compared with corresponding results of the Zel'dovich theory of nonlinear gravitational instability. We show that the basic characteristics of wall-like structure elements are well described by this theory, and that they can be expressed by the cosmological parameters and a few spectral moments of the perturbation spectrum. Therefore the characteristics of such elements provide reasonable estimates of these parameters. We show that the compressed matter is relaxed and gravitationally confined, what manifests itself in the existence of walls as (quasi)stationary structure elements with life time restricted by their disruption into high density clouds. The matter distribution is investigated both in the real and redshift spaces. In both cases almost the same particles form the walls, and we estimate differences in corresponding wall characteristics. The same methods are applied to several mock catalogues of 'galaxies' what allows us to characterize a large scale bias between the spatial distribution of dark matter and of simulated `galaxies'.