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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122 Perturbation Theories for Fluids and Solids
where G
0
(t) and G
1
(t), the Laplace transforms of xg
0
(x) and xg
1
(x), respectively, are
G
0
(
t
)
=
L
(
t
)
e
−t
(
1 −η
)
2
Q
0
(
t
)
t
2
, (5.78)
G
1
(
t
)
=
Ke
−t
Q
0
(
t
)
Q
0
(
z
)(
t + z
)
, (5.79)
with
Q
0
(
t
)
=
S
(
t
)
+12ηL
(
t
)
e
−t
(
1 −η
)
2
t
3
, (5.80)
and a similar expression for Q(z) by replacing t with z. In the latter expression S(t)
and L(t) are given by Equations. 5.25 and 5.26, respectively.
The parameters K and z of the Yukawa tail were determined by the Henderson
and Blum (1976) procedure based on the expression of the RDF at contact and the
compressibility equation in the form of Equation 4.7. To this end, Tang and Lu
considered the CS EOS for
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