Effective interaction between large colloidal particles immersed in a bidisperse suspension of short-ranged attractive colloids
J. Chem. Phys. 131, 164111 (2009); doi:10.1063/1.3253694
Published 28 October 2009
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The effective force between two large hard spheres mimicking lyophobic colloids (solute) immersed in an asymmetric two-component mixture of smaller particles (solvents), interacting via Baxter's sticky hard sphere (SHS) potential, was studied using integral equation theory and Monte Carlo simulation. The theoretical predictions were calculated from the analytic solution of the Percus–Yevick/Ornstein–Zernike integral equation for spatial correlations in a three-component mixture at vanishing solute concentration, while the simulation results were obtained by applying a special simulation technique developed for sampling the hard-sphere collision force. Due to layering of the solvent molecules, the effective force between the particles of the solute oscillates with periods equal to the molecular diameters of both solvent components. The attractive force between the solute particles in the SHS mixture comprising strongly attractive molecules of either component decays slower than that in the mixture with weaker interparticle attraction. Similar features are also observed when inspecting the separate contributions of individual components to the total solute-solute force. At sufficient strength of the interparticle stickiness, these oscillations disappear, the force becoming long ranged and attractive at all separations.
©2009 American Institute of Physics
| History: | Received 25 August 2009; accepted 2 October 2009; published 28 October 2009 |
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http://link.aip.org/link/?JCPSA6/131/164111/1 |
REFERENCES (67)
-
J. Bergenholtz, W. C. K. Poon, and M. Fuchs, Langmuir 19, 4493 (2003).
-
C. J. Dibble, M. Kogan, and M. J. Solomon, Phys. Rev. E 74, 041403 (2006).
-
W. C. K. Poon, J. Phys.: Condens. Matter 14, R859 (2002).
-
R. Tuinier, J. Rieger, and C. G. de Kruif, Adv. Colloid Interface Sci. 103, 1 (2003). [MEDLINE]
-
Y. Snir and R. D. Kamien, Science 307, 1067 (2005). [MEDLINE]
-
E. Allahyarov, H. Löwen, and S. Trigger, Phys. Rev. E 57, 5818 (1998). [ISI] [ChemPort]
-
E. Allahyarov and H. Löwen, Phys. Rev. E 63, 041403 (2001).
-
A. A. Louis, E. Allahyarov, H. Lowen, and R. Roth, Phys. Rev. E 65, 061407 (2002).
-
J. Russo, P. Tartaglia, and F. Sciortino, J. Chem. Phys. 131, 014504 (2009). [MEDLINE]
-
N. Ghofraniha, P. Andreozzi, J. Russo, C. La Mesa, and F. Sciortino, J. Phys. Chem. B 113, 6775 (2009).
-
J. J. Cerda, T. Sintes, C. Holm, C. M. Sorensen, and A. Chakrabarti, Phys. Rev. E 78, 031403 (2008).
-
G. Foffi and L. Angelani, J. Phys.: Condens. Matter 20, 075108 (2008).
-
M. Ripoll, R. G. Winkler, K. G. Mussawisade, and G. Gompper, J. Phys.: Condens. Matter 20, 404209 (2008). [Inspec]
-
P. Charbonneau and D. R. Reichman, Phys. Rev. E 75, 050401 (2007). [ISI]
-
M. Sztucki, T. Narayanan, G. Belina, A. Moussaid, F. Pignon, and H. Hoekstra, Phys. Rev. E 74, 051504 (2006).
-
A. Coniglio, L. de Arcangelis, A. de Candia, E. Del Grado, A. Fierro, and N. Sator, J. Phys.: Condens. Matter 18, S2383 (2006).
-
A. Velenich, A. Parola, and L. Reatto, Phys. Rev. E 74, 021410 (2006).
-
W. P. Krekelberg, V. Ganesan, and T. M. J. Truskett, J. Phys. Chem. B 110, 5166 (2006).
-
A. I. Campbell, V. J. Anderson, J. S. van Duijneveldt, and P. Bartlett, Phys. Rev. Lett. 94, 208301 (2005). [MEDLINE]
-
L. Angelani, G. Foffi, F. J. Sciortino, and P. Tartaglia, J. Phys.: Condens. Matter 17, L113 (2005).
-
G. Foffi, C. D. Michele, F. Sciortino, and P. Tartaglia, Phys. Rev. Lett. 94, 078301 (2005). [ISI] [MEDLINE]
-
E. Zaccarelli, F. Sciortino, and P. Tartaglia, J. Phys.: Condens. Matter 16, S4849 (2004).
-
G. Foffi, F. Sciortino, E. Zaccarelli, and P. Tartaglia, J. Phys.: Condens. Matter 16, S3791 (2004). [ISI]
-
G. Foffi, E. Zaccarelli, S. Buldyrev, F. Sciortino, and P. Tartaglia, J. Chem. Phys. 120, 8824 (2004). [ISI] [MEDLINE]
-
K. Kroy, M. E. Cates, and W. C. K. Poon, Phys. Rev. Lett. 92, 148302 (2004). [MEDLINE]
-
E. Zaccarelli, G. Foffi, F. Sciortino, and P. Tartaglia, Phys. Rev. Lett. 91, 108301 (2003). [ISI] [MEDLINE]
-
E. Zaccarelli, G. Foffi, K. A. Dawson, S. V. Buldyrev, F. Sciortino, and P. Tartaglia, Phys. Rev. E 66, 041402 (2002).
-
R. J. Baxter, J. Chem. Phys. 49, 2770 (1968). [ISI] [ChemPort]
-
D. Gazzillo and A. Giacometti, J. Chem. Phys. 120, 4742 (2004). [ISI] [MEDLINE]
-
B. Barboy, Chem. Phys. 11, 357 (1975). [Inspec] [ISI] [ChemPort]
-
B. Barboy and R. Tenne, Chem. Phys. 38, 369 (1979). [Inspec] [ISI] [ChemPort]
-
A. Jamnik, D. Bratko, and D. Henderson, J. Chem. Phys. 94, 8210 (1991). [ISI] [ChemPort]
-
A. Jamnik and D. Bratko, Vestn. Slov. Kem. Drus. 38, 39 (1991). [ChemPort]
-
A. Jamnik, J. Chem. Phys. 105, 10511 (1996). [ChemPort]
-
A. Lajovic, M. Tomšič, and A. Jamnik, J. Chem. Phys. 130, 104101 (2009). [MEDLINE]
-
J. Wu, D. Bratko, and J. M. Prausnitz, Proc. Natl. Acad. Sci. U.S.A. 95, 15169 (1998). [MEDLINE]
-
J. Z. Wu, D. Bratko, H. W. Blanch, and J. M. Prausnitz, J. Chem. Phys. 111, 7084 (1999). [ISI] [ChemPort]
-
A. Trokhymchuk, D. Henderson, A. Nikolov, and D. T. Wasan, J. Colloid Interface Sci. 243, 116 (2001). [ISI] [ChemPort]
-
D. Henderson, D. T. Wasan, and A. Trokhymchuk, J. Chem. Phys. 119, 11989 (2003). [ISI]
-
A. Sheu and S. A. Rice, Phys. Rev. E 72, 011407 (2005). [ISI]
-
C. Grodon, M. Dijkstra, R. Evans, and R. Roth, Mol. Phys. 103, 3009 (2005). [Inspec] [ChemPort]
-
T. Araki and H. Tanaka, Phys. Rev. E 73, 061506 (2006).
-
R. Roth and M. Kinoshita, J. Chem. Phys. 125, 084910 (2006). [MEDLINE]
-
D. Gazzillo, A. Giacometti, R. Fantoni, and P. Sollich, Phys. Rev. E 74, 051407 (2006).
-
T. Araki and H. Tanaka, J. Phys.: Condens. Matter 20, 072101 (2008).
-
S. Abbas and T. P. Lodge, Macromolecules 41, 8895 (2008). [ChemPort]
-
M. Bončina, J. Reščič, and V. Vlachy, Biophys. J. 95, 1285 (2008). [Inspec] [MEDLINE] [ChemPort]
-
S. B. Yuste, A. Santos, and M. L. De Haro, J. Chem. Phys. 128, 134507 (2008). [MEDLINE]
-
E. N. Scheer and K. S. Schweizer, J. Chem. Phys. 128, 164905 (2008). [MEDLINE]
-
S. Paul and G. N. Patey, J. Phys. Chem. B 112, 11106 (2008). [Inspec]
-
D. Ben-Yaakov, D. Andelman, D. Harries, and R. Podgornik, J. Phys. Chem. B 113, 6001 (2009).
-
Y. Karino, R. Akiyama, and M. Kinoshita, J. Phys. Soc. Jpn. 78, 044801 (2009).
-
A. Jamnik, J. Chem. Phys. 128, 234504 (2008). [MEDLINE]
-
H. L. Friedman, A Course in Statistical Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1985).
-
R. J. Baxter, J. Chem. Phys. 52, 4559 (1970).
-
D. Henderson, J. Colloid Interface Sci. 121, 486 (1988). [ISI] [ChemPort]
-
D. Frenkel and B. Smit, Understanding Molecular Simulation (Academic, New York, 1996).
-
A. Jamnik, Chem. Phys. Lett. 423, 23 (2006).
-
W. G. T. Kranendonk and D. Frenkel, Mol. Phys. 64, 403 (1988). [Inspec] [ISI] [ChemPort]
-
M. A. Miller and D. Frenkel, J. Phys.: Condens. Matter 16, S4901 (2004).
-
M. A. Miller and D. Frenkel, J. Chem. Phys. 121, 535 (2004). [MEDLINE]
-
M. A. Miller and D. Frenkel, Phys. Rev. Lett. 90, 135702 (2003). [MEDLINE]
-
J. N. Tsraelachvili, Philos. Mag. 43, 753 (1981).
-
M. Oettel, Phys. Rev. E 69, 041404 (2004). [ISI]
-
F. Bresme, H. Lehle, and M. Oettel, J. Chem. Phys. 130, 214711 (2009). [MEDLINE]
-
J. N. Israelachvili, Intermolecular and Surface Forces (Academic, New York, 1985).
-
D. Gazzillo, A. Giacometti, and R. Fantoni, Phys. Rev. E 78, 021201 (2008).







