Melting of 2D Monatomic Solids: Lennard-Jones System

The Lennard-Jones interaction has been introduced into the Collins mix lattice of 2D liquids. By means of rigoroue calculation of the total potential and the free area, the Gibbs functions for 2D liquid and solid have been derived. The melting line obtained from the phase transition equation agrees quite well with the result of recent computer simulation experiments. The obtained reduced temperature of the triple point T_c^* = 0.438 agrees with the data measured in experiments of some inert gas monolayers adsorbed on graphite as well as in computer simulation experiments.