Lennard-Jones particles at moderately high densities

4 Lennard-Jones particles at moderately high densities 

Lennard-Jones (LJ) particles are model particles, the behavior of which resembles the behavior of real, simple spherical particles such as argon. In this section, we present some further information on the behavior of g(R) and its dependence on density and on temperature. The LJ particles are defined by means of their pair potential as 

At short distances, say in the range of a R 5a, in spite of the random distribution of the particles, there is a sort of order as revealed by the form of the RDF. This order is often referred to as the local structure of the liquid. The local character of this structure should be noted. It contrasts with the long-range order typical of the solid state. 

From the definition of g(R), it follows that the average number of particles in a spherical shell of radius R (from the center of a given particle) and width dR is 

---

Lennard-Jones Particles at Moderately High Densities... 

---