Metastable states in the system of hard spheres

Approximate equations of the theory of liquids were applied to analyze the special features of the structural behavior of the system of hard spheres in the region of densities at which crystals are stable. Correlation functions for the liquid metastable state were obtained. The correlation functions of crystal-like metastable states that can exist under the same conditions as liquid metastable states are also considered. The reliability of the results is substantiated by a thermodynamic comparison with the data obtained using analytic equations of state.