Percus–Yevick equation of state for the two-dimensional Lennard-Jones fluid

Values of the radial distribution functions and thermodynamic properties for the two-dimensional Lennard-Jones fluid are obtained from the Percus–Yevick theory. Results are reported for a wide range of temperatures and densities and are compared with computer simulations. The energy equation of state is found to give the best agreement with the computer simulations. The reduced critical temperature as predicted by the Percus–Yevick theory from the compressibility equation is about 0.495.