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 -