We tested the convergence of Green's entropy expansion for hard sphere systems of different dimensions (D = 1, 2, 3). We compared the two-body and (for D= 1 and 3) the sum of the two-body and three-body entropy contributions to the total excess entropy in these systems. The qualitative properties of the expansion are very similar for the three tested models. The two-body contribution gives a good estimate of the excess entropy at low densities but underestimates the absolute value of the excess entropy at intermediate densities. In this region the inclusion of the three-body entropy contribution improves the accuracy of the expansion. Close to the phase transition density (in D= 2,3) the two-body entropy - due to fortuitous cancellations - is again a good approximation of the excess entropy.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry