The fourth virial coefficient of asymmetric nonadditive binary mixtures of hard disks is computed with a standard Monte Carlo method. Wide ranges of size ratio (0.05 ⩽ q ⩽ 0.95) and nonadditivity (−0.5 ⩽ Δ ⩽ 0.5) are covered. A comparison is made between the numerical results and those that follow from some theoretical developments. The possible use of these data in the derivation of new equations of state for these mixtures is illustrated by considering a rescaled virial expansion truncated to fourth order. The numerical results obtained using this equation of state are compared with Monte Carlo simulation data in the case of a size ratio q = 0.7 and two nonadditivities Δ = ±0.2.
REFERENCES
1.
Theory and Simulation of Hard-Sphere Fluids and Related Systems
, Lectures Notes in Physics
Vol. 753
, edited by A.
Mulero
(Springer
, Berlin
, 2008
).2.
G.
Pellicane
, F.
Saija
, C.
Caccamo
, and P. V.
Giaquinta
, J. Phys. Chem. B
110
, 4359
(2006
).3.
A. O.
Malakhov
and V. V.
Volkov
, Polym. Sci., Ser. A
49
, 745
(2007
).4.
P.
Hopkins
and M.
Schmidt
, J. Phys.: Condens. Matter
22
, 325108
(2010
).5.
P.
Hopkins
and M.
Schmidt
, J. Phys.: Condens. Matter
23
, 325104
(2011
).6.
D. P.
Fraser
, M. J.
Zuckermann
, and O. G.
Mouritsen
, Phy. Rev. A
43
, 6642
(1991
).7.
C. C.
Marti
and B. J.
Croset
, Surf. Sci.
318
, 229
(1994
).8.
R.
Faller
and T. L.
Kuhl
, Soft Mater.
1
, 343
(2003
).9.
Y.
Duda
and F.
Vazquez
, Langmuir
21
, 1096
(2005
).10.
N.
Hoffmann
, C. N.
Likos
, and H.
Löwen
, J. Phys.: Condens. Matter
18
, 10193
(2006
).11.
M.
Barcenas
, P.
Orea
, E.
Buenrostro-González
, L. S.
Zamudio-Rivera
, and Y.
Duda
, Energy Fuels
22
, 1917
(2008
).12.
F.
Saija
, G.
Fiumara
, and P. V.
Giaquinta
, J. Chem. Phys.
108
, 9098
(1998
).13.
F.
Saija
and P. V.
Giaquinta
, J. Chem. Phys.
117
, 5780
(2002
).14.
E.
Dickinson
, Mol. Phys.
33
, 1463
(1977
).15.
E.
Dickinson
, Chem. Phys. Lett.
66
, 500
(1979
).16.
E.
Dickinson
, J. Chem. Soc., Faraday Trans. 2
76
, 1458
(1980
).17.
R.
Tenne
and E.
Bergmann
, Phy. Rev. A
17
, 2036
(1978
).18.
R. J.
Bearman
and R. M.
Mazo
, J. Chem. Phys.
88
, 1235
(1988
).19.
R. J.
Bearman
and R. M.
Mazo
, J. Chem. Phys.
91
, 1227
(1989
).20.
R. J.
Bearman
and R. M.
Mazo
, J. Chem. Phys.
93
, 6694
(1990
).21.
V.
Ehrenberg
, H. M.
Schaink
, and C.
Hoheisel
, Physica A
169
, 365
(1990
).22.
U. N.
Singh
and S. K.
Sinha
, Pramana
20
, 327
(1983
).23.
B. M.
Mishra
and S. K.
Sinha
, J. Math. Phys.
26
, 495
(1985
).24.
P.
Nielaba
, Int. J. Thermophys.
17
, 157
(1996
).25.
M.-O.
Ihm
, F.
Schneider
, and P.
Nielaba
, Prog. Colloid Polym. Sci.
104
, 166
(1997
).26.
P.
Nielaba
, in Annual Reviews of Computer Physics
, edited by D.
Stauffer
(World Scientific
, Singapore
, 1997
), pp. 137
–200
.27.
P.
Nielaba
in Computational Methods in Surface and Colloid Science
, Surfactant Science Series
Vol. 89
, edited by M.
Borówko
(CRC
, Boca Raton
, 2000
), pp. 77
–134
.28.
M.
Al-Naafa
, J. B.
El-Yakubu
, and E. Z.
Hamad
, Fluid Phase Equilib.
154
, 33
(1999
).29.
E. Z.
Hamad
and G. O.
Yahaya
, Fluid Phase Equilib.
168
, 59
(2000
).30.
R.
Castañeda-Priego
, A.
Rodríguez-López
, and J. M. M.
Alcaraz
, J. Phys.: Condens. Matter
15
, S3393
(2003
).31.
A.
Buhot
, J. Chem. Phys.
122
, 024105
(2005
).32.
R. C.
Guáqueta
, Ph.D. dissertation, University of Illinois
, Urbana-Champaign (2009
).33.
L.
Muñoz-Salazar
and G.
Odriozola
, Mol. Simul.
36
, 175
(2010
).34.
A.
Santos
, M.
López de Haro
, and S. B.
Yuste
, J. Chem. Phys.
122
, 024514
(2005
).35.
A.
Santos
, M.
López de Haro
, and S. B.
Yuste
, J. Chem. Phys.
132
, 204506
(2010
).36.
G.
Pellicane
, C.
Caccamo
, P. V.
Giaquinta
, and F.
Saija
, J. Phys. Chem. B
111
, 4503
(2007
).37.
F.
Saija
, Phys. Chem. Chem. Phys.
13
, 11885
(2011
).38.
39.
A.
Santos
, S. B.
Yuste
, and M.
López de Haro
, Mol. Phys.
96
, 1
(1999
).40.
A.
Santos
, S. B.
Yuste
, and M.
López de Haro
, Mol. Phys.
99
, 1959
(2001
).41.
M.
López de Haro
, S. B.
Yuste
, and A.
Santos
, Phy. Rev. E
66
, 031202
(2002
).42.
T.
Boublík
and I.
Nezbeda
, Collect. Czech. Chem. Commun.
51
, 2301
(1986
).43.
44.
K. W.
Kratky
, Physica A
87
, 584
(1977
).45.
See supplementary material at http://dx.doi.org/10.1063/1.4712035 for access to the 12 tables.
46.
M.
Baus
and J. L.
Colot
, Phys. Rev. A
36
, 3912
(1987
).47.
J.-L.
Barrat
, H.
Xu
, J.-P.
Hansen
, and M.
Baus
, J. Phys. C
21
, 3165
(1988
).48.
F.
Saija
, S. B.
Yuste
, A.
Santos
, and M.
Lõpez de Haro
, “Phase behavior of nonadditive hard-disk mixtures in asymmetric regimes
” (unpublished).49.
S.
Luding
, Phy. Rev. E
63
, 042201
(2001
).50.
S.
Luding
and A.
Santos
, J. Chem. Phys.
121
, 8458
(2004
).51.
A.
Santos
, S. B.
Yuste
, and M.
López de Haro
, J. Chem. Phys.
117
, 5785
(2002
).52.
B.
Barboy
and W. M.
Gelbart
, J. Chem. Phys.
71
, 3053
(1979
).53.
B.
Barboy
and W. M.
Gelbart
, J. Stat. Phys.
22
, 709
(1980
).© 2012 American Institute of Physics.
2012
American Institute of Physics
You do not currently have access to this content.
