Anisotropic colloidal particles in critical fluids

Journal of Chemical Physics

Volumn 121, Issue 7, 2004, Pages 3299-3322

  Eisenriegler, E ^a  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ASPECT RATIO; BINARY MIXTURES; BOUNDARY CONDITIONS; DIMERS; GEOMETRY; INVARIANCE; MATHEMATICAL MODELS; SOLVENTS; SUPERCRITICAL FLUIDS; VAN DER WAALS FORCES;

ANISOTROPIC COLLOIDAL PARTICLES; CRITICAL FLUIDS; ISING MODELS; SUPERFLUID TRANSITIONS;

COLLOIDS;

EID: 4344659289     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1768514     Document Type: Article

References (47)

1. M. E. Fisher and P. G. de Gennes, C. R. Acad. Sci. Paris, 287, B-207 (1978).
2. P. G. de Gennes, C. R. Acad. Sci., Paris, 292, II-701 (1981).
3. K. G. Wilson and J. Kogut, Phys. Rep. 12, 75 (1974).
4. K. Binder, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1983), Vol. 8.
5. (a) H. W. Diehl, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1986), Vol. 10;
6. (b) Int. J. Mod. Phys. B 11, 3503 (1997).
7. T. Burkhardt and E. Eisenriegler, J. Phys. A 18, L83 (1985).
8. T. Burkhardt and E. Eisenriegler, Phys. Rev. Lett. 74, 3189 (1995); 78, 2867 (1997).
9. T. Burkhardt and E. Eisenriegler, Phys. Rev. Lett. 74, 3189 (1995); 78, 2867 (1997).
10. E. Eisenriegler and U. Ritschel, Phys. Rev. B 51, 13717 (1995).
11. A. Hanke, F. Schlesener, E. Eisenriegler, and S. Dietrich, Phys. Rev. Lett. 81, 1885 (1998).
12. F. Schlesener, A. Hanke, and S. Dietrich, J. Stat. Phys. 110, 981 (2003).
13. B. M. Law, J. M. Petit, and D. Beysens, Phys. Rev. E 57, 5782 (1998).
14. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University, Ithaca, 1979).
15. (a) E. Eisenriegler, Polymers Near Surfaces (World Scientific, Singapore, 1993);
16. (b) in Field Theoretical Tools in Polymer- and Particle-Physics, edited by H. Meyer-Ortmanns and A. Klümper, Lecture Notes in Physics Vol. 508 (Springer, Berlin, 1998).
17. M. A. Bates and D. Frenkel, Phys. Rev. E 62, 5225 (2000).
18. F. M. van der Kooij, M. Vogel, and H. N. W. Lekkerkerker, Phys. Rev. E 62, 5397 (2000).
19. E. Eisenriegler, A. Bringer, and R. Maassen, J. Chem. Phys. 118, 8093 (2003).
20. A. Hanke, E. Eisenriegler, and S. Dietrich, Phys. Rev. B 59, 6853 (1999).
21. -2x script o sign.
22. Anisotropic operators have been considered before in Ref. 16 to describe ideal polymers interacting with small anisotropic particles.
23. E. Snoeks et al., Adv. Mater. (Weinheim, Ger.) 12, 1511 (2000).
24. A. van Blaaderen, Science 301, 470 (2003); MRS Bulletin, February, 85 (2004).
25. A. van Blaaderen, Science 301, 470 (2003); MRS Bulletin, February, 85 (2004).
26. C. M. van Kats, P. M. Johnson, and A. van Blaaderen, Colloidal Dumbbells in Real Space, Poster at the Juelich Soft Matter Days, November 2003.
27. J. L. Cardy, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1986), Vol. 11. p. 55.
28. J. L. Cardy, Nucl. Phys. B 290, 355 (1987).
29. (a) T. W. Burkhardt and T. Xue, Phys. Rev. Lett. 66, 895 (1991);
30. (b) Nucl. Phys. B 354, 653 (1991);
31. (c) T. W. Burkhardt and I. Guim, Phys. Rev. B 36, 2080 (1987);
32. (d) 47, 14306 (1993).
33. M. Krech, Phys. Rev. E 56, 1642 (1997).
34. See, e.g., C. G. Callan, in Methods in Field Theory, edited by R. Balian and J. Zinn-Justin (North-Holland, Amsterdam, 1976), Session 26, pp. 41-77.
35. (a)L. S. Brown, Ann. Phys. (N.Y.) 126, 135 (1980);
36. (b) L. S. Brown and J. C. Collins, ibid. 130, 215 (1980).
37. We always consider the asymptotic long-distance limit (Ref. 18), which corresponds to the fixed points - ∞ and + ∞ of the symmetry breaking surface "magnetic" fields on the two spheres of Fig. 1 (c).
38. hs.
39. D. M. Mc Avity and H. Osborn, Nucl. Phys. B 455, 522 (1995).
40. c, see, e.g., Refs. 9, 16, and 17.
41. μν from Refs. 31 and 24 we also explicitly consider the operator λ in Eq. (2.39) which near d=4 leads to the same order in the small distance.
42. xy).
43. J. Chen and A. Anandarajah, J. Colloid Interface Sci. 180, 519 (1996).
44. M. Krech (unpublished).
45. 2 ≡ a = 7.34, close to the value a = 7.73 obtained in Ref. 9 by a different interpolation.
46. A. Hanke, M. Krech, F. Schlesener, and S. Dietrich, Phys. Rev. E 60, 5163 (1999).
47. E. Eisenriegler and M. Stapper, Phys. Rev. B 50, 10009 (1994).