Lattice modeling of a real gas revisited

Abstract

The spin-half Ising model has been used with remarkable success in describing magnetism and phase transitionin magnetic materials. Likewise, the lattice gas model, which uses the spin-1 Ising model, was employed to investigatethe phase transition in liquid-gas systems. In all the earlier lattice gas models, the kinetic energy of atoms occupyingthe various lattice sites were not considered for finding the equation of state. In this paper we use the Hamiltonian withkinetic energy and a modified equation of state is obtained. The isotherms of this model show the behavior of real gasesat all pressures and they also exhibit phase transition.