TY - JOUR

T1 - Ladder approximation for three- and four-particle correlation functions

T2 - Application to thermodynamic perturbation theory

AU - Bławzdziewicz, J.

AU - Stell, G.

PY - 1990

Y1 - 1990

N2 - We apply the recently developed ladder approximation for three- and four-particle correlation functions to thermodynamic perturbation theory. We calculate the first correction in the perturbative expansion of the pair correlation function and the second correction in the expansion of the free energy of a fluid of particles interacting via a hard-sphere reference potential plus a perturbing term. Both calculated quantities depend on the three- and four-particle correlation functions of the reference system. The results for the free energy are in good overall agreement with computer-simulation data over a wide range of densities, up to the hard-sphere fluid-solid phase transition. The results for the pair correlation function are in good agreement with computer-simulation data except near contact at high densities.

AB - We apply the recently developed ladder approximation for three- and four-particle correlation functions to thermodynamic perturbation theory. We calculate the first correction in the perturbative expansion of the pair correlation function and the second correction in the expansion of the free energy of a fluid of particles interacting via a hard-sphere reference potential plus a perturbing term. Both calculated quantities depend on the three- and four-particle correlation functions of the reference system. The results for the free energy are in good overall agreement with computer-simulation data over a wide range of densities, up to the hard-sphere fluid-solid phase transition. The results for the pair correlation function are in good agreement with computer-simulation data except near contact at high densities.

UR - http://www.scopus.com/inward/record.url?scp=4243807100&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.42.5917

DO - 10.1103/PhysRevA.42.5917

M3 - Article

AN - SCOPUS:4243807100

VL - 42

SP - 5917

EP - 5927

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 10

ER -