Lennard-Jones-Devonshire equation of state is an old but theoretical based EOS. The concept of the nearest neighboring molecules or coordination number is proposed to be a function of temperature and volume, whereas it is a constant in the original. The dilute gas and hard sphere limits of molecules are employed to determine this function. Improvement of this modification is demonstrated by pro...

Smit and Frenkel’ have shown that the phase diagram of the two-dimensional Lennard-Jones fluid depends largely on the details of the truncation of the potential. In this Note, Gibbs-ensemble calculations are reported for the three-dimensional Lennard-Jones fluid. As expected, the phase diagram for this system also depends significantly on the details of the truncation. The Lennard-Jones potenti...

We report Gibbs ensemble simulations of the coexistence region of the hard core two-Yukawa fluid with Yukawa parameters chosen to mimic the LennardJones fluid. The phase envelope of the Lennard-Jones fluid is found to be well approximated by that of the Yukawa fluid. The results suggest that theoretical approaches to the hard core two-Yukawa fluid (such as integral equations and perturbation th...

In Chapter 5 we demonstrated that in the case of the Lennard-Jones fluid, the viscosity, pressure and energy exponents are not fixed values. They depend on state point, namely, the temperature and density. We gave the results of simulations for the exponents varying with temperature and density, and we also found that the relationship can be expressed easily by a linear function of both tempera...

using the lennard-jones (12-6) potential, a new equation of state is obtained that can predict properties of both gases and liquids relatively well. this equation of state is given as (z-a)v2=(a/v2)-b, where z is the compressibility factor, a and b are constants, and a is an adjustable parameter that depends on the temperature, volume and the nature of the fluid, and its expressions depends upo...

Analytic expressions were derived for the compressibility factor and residual internal energy of the square-well plus Sutherland fluid. In this derivation, we used the second order Barker-Henderson perturbation theory based on the macroscopic compressibility approximation together with an analytical expression for radial distribution function of the reference hard sphere fluid. These properties...

We have carried out molecular-dynamics simulations for nonmetallic fluid mercury in liquid and vapour phases using a Lennard-Jones type effective potential and shown that the structure factors S(Q) and the dynamic structure factors S(Q,ω ) of nonmetallic fluid mercury obtained by our MD simulations are in good agreement with recent x-ray diffraction and inelastic x-ray scattering experiments. W...

The Enskog theory for the self-diffusion coefficient for fluids with continuous potentials, such as the Lennard-Jones, is developed. Starting from the Green–Kubo formula ~rather than the conventional kinetic equation! and introducing the similar assumptions upon which the Boltzmann equation is based, we derived a general expression for the memory kernel and the self-diffusion coefficient. The n...