A hard sphere+triangle-well potential is employed to test a recently proposed thermodynamic perturbation theory (TPT) based on a coupling parameter expansion. It is found that the second-order term of the coupling parameter expansion surpasses by far that of a high temperature series expansion under a macroscopic compressibility approximation and several varieties. It is also found that the fifth-order version displays best among all of the numerically accessible versions with dissimilar truncation orders. Particularly, the superiority of the fifth-order TPT from other available liquid state theories is exhibited the most incisively when the temperature of interest obviously falls. We investigate the modification of the phase behavior of the hard sphere+triangle-well fluid resulting from a density dependence imposed on the original potential function. It is shown that (1) the density dependence induces polymorphism of fluid phase, particularly liquid-liquid transition in metastable supercooled region, and (2) along with enhanced decaying of the potential function as a function of bulk density, both the liquid-liquid transition and vapor-liquid transition tend to be situated at the domain of lower temperature, somewhat similar to a previously disclosed thumb rule that the fluid phase transition tends to metastable with respect to the fluid-solid transition as the range of the attraction part of a density-independence potential is sufficiently short compared to the range of the repulsion part of the same density-independence potential.

1.
S.
Babu
,
J. C.
Gimel
,
T.
Nicolai
, and
C.
De Michele
,
J. Chem. Phys.
128
,
204504
(
2008
);
[PubMed]
H.
Liu
,
S. K.
Kumara
, and
F.
Sciortino
,
J. Chem. Phys.
127
,
084902
(
2007
);
[PubMed]
C.
Ibergay
,
A.
Ghoufi
,
F.
Goujon
,
P.
Ungerer
,
A.
Boutin
,
B.
Rousseau
, and
P.
Malfreyt
,
Phys. Rev. E
75
,
051602
(
2007
);
A.
Santos
,
R.
Fantoni
, and
A.
Giacometti
,
Phys. Rev. E
77
,
051206
(
2008
);
E.
de Miguel
,
J. Phys. Chem. B
112
,
4674
(
2008
);
[PubMed]
H. L.
Vortler
,
K.
Schafer
, and
W. R.
Smith
,
J. Phys. Chem. B
112
,
4656
(
2008
);
[PubMed]
J.
Largo
,
J. R.
Solana
,
L.
Acedo
, and
A.
Santos
,
J. Chem. Phys.
122
,
084510
(
2005
);
J.
Largo
and
J. R.
Solana
,
Phys. Rev. E
67
,
066112
(
2003
).
2.
D. A.
Young
,
J. Chem. Phys.
58
,
1647
(
1973
);
D. A.
Young
,
Phase Diagrams of the Elements
(
University of California Press
,
Los Angeles
,
1991
).
3.
K.
Dawson
,
G.
Foffi
,
M.
Fuchs
,
W.
Götze
,
F.
Sciortino
,
M.
Sperl
,
P.
Tartaglia
,
Th.
Viogtmann
, and
E.
Zaccarelli
,
Phys. Rev. E
63
,
011401
(
2000
).
4.
T.
Nagayima
,
Proc. Phys. Math. Soc. Jpn.
22
,
855
(
1940
).
5.
W. C.
Farrar
and
A. G.
De Rocco
,
J. Chem. Phys.
54
,
2024
(
1971
);
M.
Bishop
and
M. A.
Boonstra
,
J. Chem. Phys.
85
,
3992
(
1986
).
6.
D. A.
Card
and
J.
Walkley
,
Can. J. Phys.
50
,
1419
(
1972
);
J.
Largo
and
J. R.
Solana
,
Physica A
284
,
68
(
2000
).
7.
(a)
R. W.
Zwanzig
,
J. Chem. Phys.
22
,
1420
(
1954
);
(b)
J. A.
Barker
and
D.
Henderson
,
J. Chem. Phys.
47
,
2856
(
1967
).
8.
J.
Adhikari
and
D. A.
Kofke
,
Mol. Phys.
100
,
1543
(
2002
).
9.
E.
Velasco
,
L.
Mederos
, and
G.
Navascués
,
Langmuir
14
,
5652
(
1998
).
10.
M.
Bishop
and
M. A.
Boonstra
,
J. Chem. Phys.
79
,
1092
(
1983
).
11.
S.
Merabia
and
I.
Pagonabarraga
,
J. Chem. Phys.
127
,
054903
(
2007
);
[PubMed]
E. C.
Allen
and
G. C.
Rutledge
,
J. Chem. Phys.
128
,
154115
(
2008
);
[PubMed]
B. M.
Mognetti
,
M.
Oettel
,
L.
Yelash
,
P.
Virnau
,
W.
Paul
, and
K.
Binder
,
Phys. Rev. E
77
,
041506
(
2008
).
12.
W. G.
Noid
,
J. W.
Chu
,
G. S.
Ayton
, and
G. A.
Voth
,
J. Phys. Chem. B
111
,
4116
(
2007
);
[PubMed]
E. J.
Sambriski
and
M. G.
Guenza
,
Phys. Rev. E
76
,
051801
(
2007
);
W. G.
Noid
,
J. W.
Chu
,
G. S.
Ayton
,
V.
Krishna
,
S.
Izvekov
,
G. A.
Voth
,
A.
Das
, and
H. C.
Andersen
,
J. Chem. Phys.
128
,
244114
(
2008
).
[PubMed]
13.
D. Y. C.
Chan
,
Phys. Rev. E
63
,
061806
(
2001
);
T.
Kreer
,
J.
Horbach
, and
A.
Chatterji
,
Phys. Rev. E
74
,
021401
(
2006
).
14.
E.
Guarini
,
R.
Magli
,
M.
Tau
,
F.
Barocchi
,
G.
Casanova
, and
L.
Reatto
,
Phys. Rev. E
63
,
052201
(
2001
).
15.
N.
Jakse
,
J. M.
Bomont
, and
J. L.
Bretonnet
,
J. Chem. Phys.
116
,
8504
(
2002
).
16.
(a)
O.
Sinanoglu
,
Chem. Phys. Lett.
1
,
340
(
1967
);
(b)
G. S.
Rushbrooke
and
M.
Silbert
,
Mol. Phys.
12
,
505
(
1967
).
17.
N. G.
Almarza
,
E.
Lomba
,
G.
Ruiz
, and
C. F.
Tejero
,
Phys. Rev. E
67
,
021202
(
2003
).
18.
S.
Zhou
,
J. Chem. Phys.
128
,
104511
(
2008
).
19.
(a)
S.
Zhou
,
J. Chem. Phys.
125
,
144518
(
2006
);
[PubMed]
S.
Zhou
, (c)
J. Phys. Chem. B
111
,
10736
(
2007
).
[PubMed]
20.
A.
Malijevský
and
S.
Labík
,
Mol. Phys.
60
,
663
(
1987
).
21.
N. F.
Carnahan
and
K. E.
Starling
,
J. Chem. Phys.
51
,
635
(
1969
).
22.
F. F.
Betancourt-Cárdenas
,
L. A.
Galicia-Luna
, and
S. I.
Sandler
,
Mol. Phys.
105
,
2987
(
2007
).
23.
W. R.
Smith
,
D.
Henderson
, and
J. A.
Barker
,
Can. J. Phys.
53
,
5
(
1975
).
24.
M.
Ausloos
,
P.
Clippe
,
R.
Evrard
, and
R.
Verhaeghe
,
Mol. Phys.
37
,
643
(
1979
).
25.
F. F.
Betancourt-Cárdenas
,
L. A.
Galicia-Luna
,
A. L.
Benavides
,
J. A.
Ramírez
, and
E.
Scöll-Paschinger
,
Mol. Phys.
106
,
113
(
2008
).
26.
D. A.
Card
and
J.
Walkley
,
Can. J. Phys.
52
,
80
(
1974
).
27.
J. S.
Høye
and
G.
Stell
,
Mol. Phys.
52
,
1071
(
1984
).
28.
M.
Dijkstra
,
Phys. Rev. E
66
,
021402
(
2002
).
29.
A.
Reiner
and
J. S.
Høye
,
J. Chem. Phys.
128
,
114507
(
2008
).
30.
S.
Zhou
,
J. Chem. Phys.
127
,
084512
(
2007
).
31.
A.
Dominguez
,
D.
Frydel
, and
M.
Oettel
,
Phys. Rev. E
77
,
020401
(
2008
);
V.
Dahirel
,
M.
Jardat
,
J. -F.
Dufreche
, and
P.
Turq
,
J. Chem. Phys.
126
,
114108
(
2007
).
[PubMed]
32.
J.
Dobnikar
,
Y.
Chen
,
R.
Rzehak
, and
H. H.
von Grünberg
,
J. Chem. Phys.
119
,
4971
(
2003
);
C.
Russ
,
H. H.
von Grünberg
,
M.
Dijkstra
, and
R.
van Roij
,
Phys. Rev. E
66
,
011402
(
2002
).
33.
A. -P.
Hynninen
and
M.
Dijkstra
,
J. Phys.: Condens. Matter
15
,
S3557
(
2003
).
34.
E. J.
Meijer
and
D.
Frenkel
,
J. Chem. Phys.
100
,
6873
(
1994
);
A. P.
Gast
,
C. K.
Hall
, and
W. B.
Russel
,
J. Colloid Interface Sci.
96
,
251
(
1983
).
35.
P. H.
Poole
,
T.
Grande
,
C. A.
Angell
, and
P. F.
McMillan
,
Science
275
,
322
(
1997
).
36.
M. P.
Grumbach
and
R. M.
Martin
,
Phys. Rev. B
54
,
15730
(
1996
);
Y.
Katayama
,
T.
Mizutani
,
W.
Utsumi
,
O.
Shimomura
,
M.
Yamakata
, and
K. -I.
Funakoshi
,
Nature (London)
403
,
170
(
2000
);
K. H.
Smith
,
E.
Shero
,
A.
Chizmeshya
, and
G. H.
Wolf
,
J. Chem. Phys.
102
,
6851
(
1995
);
M.
Yao
and
H.
Endo
,
J. Non-Cryst. Solids
205–207
,
85
(
1996
);
A.
Ferraz
and
N. H.
March
,
Phys. Chem. Liq.
8
,
289
(
1979
);
A. K.
Soper
and
M. A.
Ricci
,
Phys. Rev. Lett.
84
,
2881
(
2000
).
[PubMed]
37.
Z.
Yan
,
S. V.
Buldyrev
,
P.
Kumar
,
N.
Giovambattista
, and
H. E.
Stanley
,
Phys. Rev. E
77
,
042201
(
2008
).
38.
C. F.
Tejero
and
M.
Baus
,
Phys. Rev. E
57
,
4821
(
1998
).
39.
G.
Monaco
,
S.
Falconi
,
W. A.
Crichton
, and
M.
Mezouar
,
Phys. Rev. Lett.
90
,
255701
(
2003
).
You do not currently have access to this content.