Large attractive depletion interactions in soft repulsive-sphere binary mixtures

Journal of Chemical Physics

Volumn 127, Issue 21, 2007, Pages

  Cinacchi, Giorgio ^a   Martínez Ratón, Yuri ^b   Mederos, Luis ^c   Navascús, Guillermo ^d   Tani, Alessandro ^a   Velasco, Enrique ^d,e  

^a UNIVERSITY OF PISA   (Italy)

^b UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^c INSTITUTO DE CIENCIA DE MATERIALES DE MADRID   (Spain)

^d UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

^e INSTITUTO NICOLÁS CABRERA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; PARTICLES (PARTICULATE MATTER); PERTURBATION TECHNIQUES; PHASE DIAGRAMS; PHASE TRANSITIONS; SPHERES;

DEGREE OF SOFTNESS; DEPLETION INTERACTIONS; FLUID-SOLID TRANSITIONS; SOFT REPULSIVE SPHERES; SPHERICAL PARTICLES;

BINARY MIXTURES;

EID: 36849093845     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2804330     Document Type: Article

References (45)

1. W. B. Russell, D. A. Saville, and W. R. Schonwalter, Colloidal Dispersions (Cambridge University Press, Cambridge, 1992); R. J. Hunter, Foundations of Colloid Science (Oxford University Press, Oxford, 2001).
2. W. B. Russell, D. A. Saville, and W. R. Schonwalter, Colloidal Dispersions (Cambridge University Press, Cambridge, 1992); R. J. Hunter, Foundations of Colloid Science (Oxford University Press, Oxford, 2001).
3. P. N. Pusey and W. Van Megen, Nature (London) 320, 340 (1986).
4. J. L. Lebowitz and J. S. Rowlinson, J. Chem. Phys. 41, 133 (1964).
5. T. Biben and J. P. Hansen, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.66.2215 66, 2215 (1991); T. Biben and J. P. Hansen, J. Phys.: Condens. Matter 3, F65 (1991).
6. T. Biben and J. P. Hansen, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.66.2215 66, 2215 (1991); T. Biben and J. P. Hansen, J. Phys.: Condens. Matter 3, F65 (1991).
7. J. S. Van Duijneveldt, A. W. Heinen, and H. N. W. Lekkerkerker, Europhys. Lett. 21, 369 (1993).
8. H. N. W. Lekkerkerker and A. Stroobants, Physica A 195, 387 (1993).
9. M. Dijkstra, R. Van Roij, and R. Evans, Phys. Rev. Lett. 81, 2268 (1998).
10. M. Dijkstra, R. Van Roij, and R. Evans, Phys. Rev. Lett. 82, 117 (1999).
11. M. Dijkstra, R. Van Roij, and R. Evans, Phys. Rev. E 59, 5744 (1999).
12. S. Asakura and F. Oosawa, J. Chem. Phys. 0021-9606 22, 1255 (1954); S. Asakura and F. Oosawa, J. Polym. Sci. 33, 183 (1958).
13. S. Asakura and F. Oosawa, J. Chem. Phys. 0021-9606 22, 1255 (1954); S. Asakura and F. Oosawa, J. Polym. Sci. 33, 183 (1958).
14. A. Vrij, Pure Appl. Chem. 48, 471 (1976).
15. N. G. Almarza and E. Enciso, Phys. Rev. E 59, 4426 (1999).
16. R. Roth, R. Evans, and A. A. Louis, Phys. Rev. E 64, 051202 (2001).
17. P. Germain, J. G. Malherbe, and S. Amokrane, Phys. Rev. E 70, 041409 (2004).
18. P. Germain, M. Bouaskarne, J. G. Malherbe, C. Regnaut, and S. Amokrane, Prog. Colloid Polym. Sci. 126, 102 (2004).
19. G. Bryant, S. R. Williams, L. Qian, I. K. Snook, E. Perez, and F. Pincet, Phys. Rev. E 66, 060501 (R) (2002).
20. S. Auer and D. Frenkel, Adv. Polym. Sci. 173, 149 (2005).
21. Y. Hennequin, M. Pollard, and J. S. Van Duijneveldt, J. Chem. Phys. 120, 1097 (2004).
22. J. D. Weeks, D. Chandler, and H. C. Andersen, J. Chem. Phys. 54, 5237 (1971).
23. B. Götzelmann, R. Roth, S. Dietrich, M. Dijkstra, and R. Evans, Europhys. Lett. 44, 398 (1999).
24. R. Roth, R. Evans, and S. Dietrich, Phys. Rev. E 62, 5360 (2000).
25. M. Schmidt, Phys. Rev. E 62, 3799 (2000).
26. J. Y. Walz and A. Sharma, J. Colloid Interface Sci. 168, 485 (1994).
27. G. Ciccotti and J. P. Ryckaert, Comput. Phys. Rep. 4, 345 (1986).
28. G. Ciccotti, M. Ferrario, J. T. Hynes, and R. Kapral, Chem. Phys. 129, 241 (1989).
29. H. Shinto, M. Myiahara, and K. Higoshitani, J. Colloid Interface Sci. 209, 79 (1999).
30. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Oxford University Press, Oxford, 1989).
31. The shape of the depletion force suggests to fit the numerical data displayed in Fig. with the following empirical function: Ffit (r) =A [1-f (α r)] (rΒ +ar) -bf (α r) e-κr cos [2π δ (r- r0)], with {A,α,Β,a,b,κ,δ, r0 } the set of fitting parameters. Clearly, this equation does not have any ambition to be a proper description of the functional dependence of depletion forces upon distance; it has just been used to smooth the numerical data. In the equation, one can recognize two regimes: The attractive well described by the term rΒ +ar and the subsequent oscillatory damped part described by the exponential-sinusoidal term. The factor f (α r) and its complement to unity have the role of switching continuously from one regime to the other. The above functional form has proven to be quite effective for n=6 and not so much for n=12 (see Fig.); actually, for the computation of the potential W (r) by integrating the force, the Akima spline method was used instead.
32. S. Hess, M. Kröger, and H. Voigt, Physica A 250, 58 (1998).
33. T. Biben, P. Bladon, and D. Frenkel, J. Phys.: Condens. Matter 8, 10799 (1996).
34. R. Dickmann, P. Attard, and V. Simonian, J. Chem. Phys. 107, 205 (1997).
35. S. Melchionna and J. P. Hansen, Phys. Chem. Chem. Phys. 2, 3465 (2000).
36. D. Goulding and S. Melchionna, Phys. Rev. E 64, 011403 (2001).
37. D. Zhu, W. Li, and H. R. Ma, J. Phys.: Condens. Matter 15, 8281 (2003).
38. L. Mederos, G. Navascús, P. Tarazona, and E. Chacón, Phys. Rev. E 1063-651X 10.1103/PhysRevE.47.4284 47, 4284 (1993); L. Mederos, G. Navascús, and P. Tarazona, Phys. Rev. E 49, 2161 (1994).
39. L. Mederos, G. Navascús, P. Tarazona, and E. Chacón, Phys. Rev. E 1063-651X 10.1103/PhysRevE.47.4284 47, 4284 (1993); L. Mederos, G. Navascús, and P. Tarazona, Phys. Rev. E 49, 2161 (1994).
40. E. Velasco, G. Navascús, and L. Mederos, Phys. Rev. E 60, 3158 (1999).
41. C. F. Tejero, A. Daanoun, H. N. W. Lekkerkerker, and M. Baus, Phys. Rev. Lett. 73, 752 (1994).
42. M. Hasegawa and K. Ohno, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/9/16/008 9, 3361 (1997); M. Hasegawa, J. Chem. Phys. 108, 208 (1998).
43. M. Hasegawa and K. Ohno, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/9/16/008 9, 3361 (1997); M. Hasegawa, J. Chem. Phys. 108, 208 (1998).
44. M. Silbert, E. Canessa, M. J. Grimson, and O. H. Scalise, J. Phys.: Condens. Matter 11, 10119 (1999).
45. A. Yethiraj and A. van Blaaderen, Nature (London) 421, 513 (2003).