A model is proposed to describe crystal-liquid (liquid-crystal) equilibrium phase
transition, emergence of bifurcations in non-equilibrium systems and dissipative structures
formation in noncrystalline materials. We have investigated temperature dependencies
of the share of atoms in liquid-like states and mean-square atomic displacements,
in which regions corresponding to stable (crystal, liquid), metastable (superheated
crystal, supercooled liquid) and virtual states are present. It is shown that system
transits into non-equilibrium state when the melt freezing rate increases. Bifurcation
diagrams, which define parameters deviations from their equilibrium values, when freezing
rate is different are plotted. Process of dissipative structures formation in noncrystalline
materials is described and their characteristics: life time and spatial sizes are
defined.
