THE CROSS-CORRELATION BETWEEN THE GRAVITATIONAL POTENTIAL AND THE LARGE-SCALE MATTER DISTRIBUTION

The large scale gravitational potential distribution and its influence on the large-scale matter clustering is considered on the basis of si x simulations. It is found that the mean separation between zero level s of the potential along random straight lines coincides with the theo retical expectations, but it scatters largely. A strong link of the in itial potential and the structure evolution is shown. It is found that the under-dense and over-dense regions correlate with regions of posi tive and negative gravitational potential at large redshifts. The over -dense regions arise due to a slow matter flow into the negative poten tial regions, where more pronounced non-linear structures appear. Such regions are related to the formation of huge super-large scale struct ures seen in the galaxy distribution.