March 2013
Intermediate to advanced
406 pages
14h 48m
English
Content preview from Perturbation Theories for the Thermodynamic Properties of Fluids and Solids
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88 Perturbation Theories for Fluids and Solids
4.4.4 PERTURBATIVE SOLUTIONS OF THE PERCUS–YEVICK AND MEAN
SPHERICAL APPROXIMATIONS
Tang and Lu (1993, 1997a) developed a procedure based on perturbation theory
to solve the OZ equation in the framework of the PY or MSA approximations for
potentials consisting of a spherical hard core plus an arbitrary tail. To this end, they
expand the total h(r) and direct c(r) correlation functions in terms of a suitable
parameter ε around those for the HS system, taken as a reference, in the form
h
(
r
)
= h
0
(
r
)
+εh
1
(
r
)
+ε
2
h
2
(
r
)
+···, (4.57)
c
(
r
)
= c
0
(
r
)
+εc
1
(
r
)
+ε
2
c
2
(
r
)
+···, (4.58)
where subscripts 0 and i refer to the reference HS fluid and to the ith perturbative
contribution, respectively, so that for ε =0 the correlation ...
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