p‎air correlation function and its role in charectrizing a system of randomly dispersed particles

The pair correlation function (or p.c.f.) is a statistical mechanical tool which quantifies density variation as a function of distance from a reference particle in a system of randomly dispersed particles.‎‏ ‎it‎ is usually used to describe quantitatively, for example, the internal structure of fluids. in this paper after recalling the p.c.f function for studying the interaction behaviour between particles, i.e. attraction, repulsion or independence, different particle systems are simulated in 2d and the estimated p.c.fs. are interpreted, since, even now a days, we have difficulties to simulate a particle system with desired parameters in ‏‎3d.