On solid-liquid transition in plane disc systems

Structural, mechanical and thermodynamical properties of close packed binar y systems of discs with hard, elastic and Lennard-Jones potentials of inter action are considered. Using the method of molecular dynamics the transitio n from crystal melting to glass softening with increasing relative dispersi ty in disc size from 0 to 0.23 is investigated. A single particle mean-fiel d model is proposed, which allows us to obtain straightforwardly the consti tutive equation and shear modulus of the systems considered.