Grand canonical Monte Carlo simulations are used to study phase separation in a simple colloid–polymer model, the so-called Asakura–Oosawa model. To overcome the problem of small acceptance rates of the grand-canonical moves, cluster moves are introduced. Successive umbrella sampling, recently introduced by Virnau and Müller [J. Chem. Phys. 120, 10925 (2004)], is used to access the phase-separated regime. The unmixing binodal and the interfacial tension are measured and compared to theoretical predictions. By means of finite-size scaling, the behavior close to the critical point is also investigated. Close to criticality, we observe substantial deviations from mean-field behavior.

1.
S.
Asakura
and
F.
Oosawa
,
J. Chem. Phys.
22
,
1255
(
1954
).
2.
A.
Vrij
,
Pure Appl. Chem.
48
,
471
(
1976
).
3.
A.
Vrij
,
Physica A
235
,
120
(
1997
).
4.
H.
Lekkerkerker
,
W.
Poon
,
P.
Pusey
,
A.
Stroobants
, and
P.
Warren
,
Europhys. Lett.
20
,
559
(
1992
).
5.
S.
Ilett
,
A.
Orrock
,
W.
Poon
, and
P.
Pusey
,
Phys. Rev. E
51
,
1344
(
1995
).
6.
M.
Schmidt
,
H.
Löwen
,
J.
Brader
, and
R.
Evans
,
Phys. Rev. Lett.
85
,
1934
(
2000
).
7.
M.
Schmidt
,
H.
Löwen
,
J.
Brader
, and
R.
Evans
,
J. Phys.: Condens. Matter
14
,
9353
(
2002
).
8.
M. Schmidt (private communication).
9.
E. H. A.
de Hoog
and
H. N. W.
Lekkerkerker
,
J. Phys. Chem. B
103
,
5274
(
1999
).
10.
B. H.
Chen
,
B.
Payandeh
, and
M.
Robert
,
Phys. Rev. E
62
,
2369
(
2000
).
11.
R.
Roth
,
R.
Evans
, and
S.
Dietrich
,
Phys. Rev. E
62
,
5360
(
2000
).
12.
R.
Roth
and
R.
Evans
,
Europhys. Lett.
53
,
271
(
2001
).
13.
M.
Dijkstra
,
J.
Brader
, and
R.
Evans
,
J. Phys.: Condens. Matter
11
,
10
079
(
1999
).
14.
M.
Dijkstra
,
Curr. Opin. Colloid Interface Sci.
6
,
372
(
2001
).
15.
M.
Dijkstra
and
R.
van Roij
,
Phys. Rev. Lett.
89
,
208303
(
2002
).
16.
E.
Meijer
and
D.
Frenkel
,
J. Chem. Phys.
100
,
6873
(
1994
).
17.
P.
Bolhuis
,
A.
Louis
, and
J.
Hansen
,
Phys. Rev. Lett.
89
,
128302
(
2002
).
18.
M.
Schmidt
,
A.
Fortini
, and
M.
Dijkstra
,
J. Phys.: Condens. Matter
15
,
S3411
(
2003
).
19.
A. Z.
Panagiotopoulos
,
Mol. Phys.
61
,
813
(
1987
).
20.
B.
Smit
,
Ph.
de Smedt
, and
D.
Frenkel
,
Mol. Phys.
68
,
931
(
1989
).
21.
K.
Binder
,
Z. Phys. B: Condens. Matter
43
,
119
(
1981
).
22.
N.
Wilding
,
Annu. Rev. Comput. Phys.
4
,
37
(
1996
).
23.
E.
Luijten
,
M.
Fisher
, and
A.
Panagiotopoulos
,
Phys. Rev. Lett.
88
,
185701
(
2002
).
24.
N.
Wilding
,
Phys. Rev. E
67
,
052503
(
2003
).
25.
K.
Binder
,
Phys. Rev. A
25
,
1699
(
1982
).
26.
J.
Potoff
and
A.
Panagiotopoulos
,
J. Chem. Phys.
112
,
6411
(
2000
).
27.
W.
Góźdź
,
J. Chem. Phys.
119
,
3309
(
2003
).
28.
P.
Virnau
,
M.
Müller
,
L.
Gonzáles MacDowell
, and
K.
Binder
,
Comput. Phys. Commun.
147
,
378
(
2002
).
29.
T.
Biben
,
P.
Bladon
, and
D.
Frenkel
,
J. Phys.: Condens. Matter
8
,
10
799
(
1996
).
30.
P. G.
Bolhuis
and
D.
Frenkel
,
J. Chem. Phys.
101
,
9869
(
1994
).
31.
A.
Buhot
and
W.
Krauth
,
Phys. Rev. Lett.
80
,
3787
(
1998
).
32.
J.
Liu
and
E.
Luijten
,
Phys. Rev. Lett.
92
,
035504
(
2004
).
33.
J.
Siepmann
and
D.
Frenkel
,
Mol. Phys.
75
,
59
(
1992
).
34.
S.
Consta
,
N. B.
Wilding
,
D.
Frenkel
, and
Z.
Alexandrowicz
,
J. Chem. Phys.
110
,
3220
(
1999
).
35.
J.
Houdayer
,
J. Chem. Phys.
116
,
1783
(
2002
).
36.
D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, Cambridge, England, 2000).
37.
P.
Virnau
and
M.
Müller
, cond-mat/0306678, J. Chem. Phys. (to be published).
38.
P.
Virnau
and
M.
Müller
,
J. Chem. Phys.
120
,
10925
(
2004
).
39.
R. L. C. Vink and J. Horbach, J. Phys.: Condens. Matter (to be published).
40.
E. Luijten (private communication).
41.
J. Rowlinson and B. Widom, Molecular Theory of Capillarity (Clarendon, Oxford, 1982).
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