Computer simulations of crystalline and amorphous Lennard-Jones systems hav
e revealed a stability threshold at reduced density 0.8-0.85. At this densi
ty, a substance undergoes a phase transition losing homogeneity and at lowe
r densities decomposes into regions of dense atomic clusters separated by e
mpty space. The characteristic size of atomic clusters is approximately 10
atomic diameters. They are united by "bridges" of close-packed atoms into a
single percolation cluster. The voids from branched channels with diameter
s considerably exceeding an atomic diameter and permeating the entire space
of the model.