Depletion interaction in colloid/polymer mixtures: Application of density functional theory

Molecular Simulation

Volumn 32, Issue 10-11, 2006, Pages 877-885

  Chen, X ^a   Cai, J ^a   Liu, H ^a   Hu, Y ^a  

^a EAST CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Colloid polymer mixtures; Depletion interaction; Modified fundamental measure theory; Thermodynamic perturbation theory

Indexed keywords

COLLOIDS; PERTURBATION TECHNIQUES; POLYMERS; PROBABILITY DENSITY FUNCTION; THERMODYNAMICS;

DEPLETION INTERACTION; MODIFIED FUNDAMENTAL MEASURE THEORY; THERMODYNAMIC PERTURBATION THEORY;

MIXTURES;

EID: 33750519443     PISSN: 08927022     EISSN: 10290435     Source Type: Journal    
DOI: 10.1080/08927020600935580     Document Type: Review

References (32)

1. S. Asakura, F. Oosawa. On interaction between two bodies immersed in a solution of macromolecules. J. Chem. Phys., 22, 1255 (1954).
2. T. Biben, P. Bladon, D. Frenkel. Depletion effects in binary hardsphere fluids. J. Phys. Condens. Matter, 8, 10799 (1996).
3. R. Dickman, P. Attard, V. Simonian. Entropie forces in binary hard sphere mixtures: theory and simulation. J. Chem. Phys., 107, 205 (1997).
4. R. Roth, R. Evans, S. Dietrich. Depletion potential in hard-sphere mixtures: theory and applications. Phys. Rev. E, 62, 5360 (2000).
5. H.H. von Grünberg, R. Klein. Density functional theory of nonuniform colloidal suspensions: 3D density distributions and depletion forces. J. Chem. Phys., 110, 5421 (1999).
6. S. Melchionna, J.P. Hansen. Triplet depletion forces from density functional optimization. Phys. Chem. Chem. Phys., 2, 3465 (2000).
7. D. Goulding, S. Melchionna. Accurate calculation of three-body depletion interactions. Phys. Rev. E, 64, 011403 (2001).
8. P. Attard. Pherically inhomogeneous fluids. II. Hard-sphere solute in a hard-sphere solvent. J. Chem. Phys., 91, 3083 (1989).
9. J.P. Hansen, I.R. McDonald. Theory of Simple Liquids, 2nd ed., Academic Press, London (1986).
10. W.G. McMillan, J.E. Mayer. The statistical thermodynamics of multicomponent systems. J. Chem. Phys., 13, 276 (1945).
11. M. Dijkstra, R. van Roij, R. Evans. Phase behavior and structure of binary hard-sphere mixtures. Phys. Rev. Lett., 81, 2268 (1998);
12. Direct simulation of the phase behavior of binary hard-sphere mixtures: test of the depletion potential description, Phys. Rev. Lett. ibid., 82, 117 (1999);
13. Phase diagram of highly asymmetric binary hard-sphere mixtures. Phys. Rev. E, 59, 5744 (1999).
14. J.R. Henderson. Statistical mechanics of fluids at spherical structureless walls. Mol. Phys., 50, 741 (1983).
15. M. Oettel. Depletion force between two large spheres suspended in a bath of small spheres: Onset of the Derjaguin limit. Phys. Rev. E, 69, 041404 (2004).
16. N. Patel, S.A. Egorov. Interactions between colloidal particles in polymer solutions: A density functional theory study. J. Chem. Phys., 121, 4987 (2004).
17. J.B. Hooper, K.S. Schweizer, R.K.T.G. Desai, P. Keblinski. Structure, surface excess and effective interactions in polymer nanocomposite melts and concentrated solutions. J. Chem. Phys., 121, 6986 (2004).
18. M. Surve, V. Pryamitsyn, V. Ganesan. Depletion and pair interactions of proteins in polymer solutions. J. Chem. Phys., 122, 154901 (2005).
19. S.C. Kim, C.H. Lee. Depletion interactions between colloidal particles in polymer solutions: density functional approach. Mol. Phys., 104, 1487 (2006).
20. Y. Rosenfeld. Free-energy model for the inhomogeneous hardsphere fluid mixture and density-functional theory of freezing. Phys. Rev. Lett., 63, 980 (1989).
21. Y.X. Yu, J.Z. Wu. Structures of hard-sphere fluids from a modified fundamental-measure theory. J. Chem. Phys., 117, 10156 (2002).
22. R. Roth, R. Evans, A. Lang, G. Kahl. Fundamental measure theory for hard-sphere mixtures revisited: the White Bear version. J. Phys. Condens. Matter, 14, 12063 (2002).
23. M.S. Wertheim. Thermodynamic perturbation theory of polymerization. J. Chem. Phys., 87, 7323 (1987).
24. Y.X. Yu, J.Z. Wu. Density functional theory for inhomogeneous mixtures of polymeric fluids. J. Chem. Phys., 117, 2368 (2002).
25. E.A. Müllar, K.E. Gubbins. Simulation of hard triatomic and tetratomic molecules A test of associating fluid theories. Mol. Phys., 80, 957 (1993).
26. A. Striolo, C.M. Colina, K.E. Gubbins, N. Elvassore, L. Lue. The depletion attraction between pairs of colloid particles in polymer solution. Mol. Simul., 30, 437 (2004).
27. R. Roth, R. Evans, A.A. Louis. Theory of asymmetric nonadditive binary hard-sphere mixtures. Phys. Rev. E, 64, 051202 (2001).
28. H.L. Liu, Y. Hu, J.M. Prausnitz. Equation of state for fluids containing chainlike molecules. J. Chem. Phys., 104, 396 (1996).
29. J. Cai, H.L. Liu, Y. Hu. Density functional theory and Monte Carlo simulation of mixtures of hard sphere chains confined in a slit. Fluid Phase Equilibria, 194-197, 281 (2002).
30. S.L. Zhang, J. Cai, H.L. Liu, Y. Hu. Density functional theory of square-well chain mixtures near solid surface. Molec. Simul., 30, 143 (2004).
31. Z.C. Ye, J. Cai, H.L. Liu, Y. Hu. Density and chain conformation profiles of square-well chains confined in a slit by density-functional theory. J. Chem. Phys., 123, 194902 (2005).
32. P. Tarazona. Free-energy density functional for hard spheres. Phys. Rev. A, 31, 2672 (1985).