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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326 Perturbation Theories for Fluids and Solids
free energy functional was treated in the LDA and the contribution of the attractive
forces was considered as a first-order perturbation. The free energy functional is then
F
E
[
ρ
(
r
)
]
= F
E
0
[
ρ
(
r
)
]
+
1
2
ρ
(
r
1
)
ρ
(
r
2
)
g
0
(
r
1
, r
2
; ρ
(
r
))
u
1
(
r
1
, r
2
)
dr
1
dr
2
≈ F
E
HS
[
ρ
(
r
)
]
+
1
2
ρ
(
r
1
)
ρ
(
r
2
)
g
HS
(
r
12
; ¯ρ
m
(
r
))
u
1
(
r
12
)
dr
1
dr
2
.
(9.122)
In this expression, g
0
(r
1
, r
2
; ρ(r)) is the pair correlation function of an inhomoge-
neous reference system with density ρ(r) and, following the approach devised by
Sokolowski and Fischer (1992), has been replaced with the RDF of a homogeneous
HS fluid with mean weighted density ¯ρ
m
(r) =
[
¯ρ(r
1
) +¯ρ(r
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