Calculation of the entropy from multiparticle correlation functions

We consider three approximate expressions for the entropy of a single-particle fluid that require as input only the pair-correlation function g(r). By evaluating numerically these entropy estimates, for several model interparticle interactions of varying range, we examine the accuracy of these expressions compared to the ``exact'' entropy determined from computer simulation. With the exception of the one-component plasma at very low densities, the entropy of all systems studied can be approximated within 10% of the exact value for fluid densities up to 95% of the freezing density, with the agreement improving for the shorter-ranged potentials. For hard spheres, a preliminary extension to third-order terms is presented.