The large scale gravitational potential distribution and its influence on the
large-scale matter clustering is considered on the basis of six simulations. It
is found that the mean separation between zero levels of the potential along
random straight lines coincides with the theoretical expectations, but it
scatters largely. A strong link of the initial potential and the structure
evolution is shown. It is found that the under-dense and over-dense regions
correlate with regions of positive and negative gravitational potential at
large redshifts. The over-dense regions arise due to a slow matter flow into
the negative potential regions, where more pronounced non-linear structures
appear. Such regions are related to the formation of huge super-large scale
structures seen in the galaxy distribution.Comment: 14 pages LaTeX with 14 postscript figures included. To be publishes
in Astron. Astroph. (accepted 17 July 1997
