Aspects of the dynamics of colloidal suspensions: Further results of the mode-coupling theory of structural relaxation

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 5, 1999, Pages 5742-5752

  Fuchs, M ^a   Mayr, M R ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

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ARTICLE;

EID: 0000667949     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.5742     Document Type: Article

References (67)

1. P.N. Pusey, in Liquids, Freezing and Glass Transition, edited by D. Levesque, and J. Zinn-Justin, J.-P. Hansen (North-Holland, Amsterdam, 1991), p. 763.
2. W.B. Russel, D.A. Saville, and W.R. Schowalter, Colloidal Dispersions (Cambridge University Press, New York, 1989).
3. W. van Megen and P.N. Pusey, Phys. Rev. A 43, 5429 (1991).
4. W. van Megen, S.M. Underwood, and P.N. Pusey, Phys. Rev. Lett. 67, 1586 (1991).
5. W. van Megen and S.M. Underwood, Phys. Rev. Lett. 70, 2766 (1993).
6. W. van Megen and S.M. Underwood, Phys. Rev. E 47, 248 (1993).
7. W. van Megen and S. Underwood, Phys. Rev. Lett. 72, 1773 (1994).
8. W. van Megen and S.M. Underwood, Phys. Rev. E 49, 4206 (1994).
9. W. van Megen, Transp. Theory Stat. Phys. 24, 1017 (1995).
10. W. van Megen, T.C. Mortensen, J. Müller, and S.R. Williams, Phys. Rev. E 58, 6073 (1998).
11. W. Götze and L. Sjögren, Phys. Rev. A 43, 5442 (1991).
12. W. Götze, in Liquids, Freezing and Glass Transition, edited by D. Levesque, and J. Zinn-Justin, J.-P. Hansen (North-Holland, Amsterdam, 1991), p. 287.
13. W. Götze and L. Sjögren, Rep. Prog. Phys. 55, 241 (1992).
14. E. Bartsch, V. Frenz, S. Möller, and H. Sillescu, Physica A 201, 363 (1993).
15. E. Bartsch, Transp. Theory Stat. Phys. 24, 1125 (1995).
16. W. Härtl, H. Versmold, and X. Zhang-Heider, J. Chem. Phys. 102, 6613 (1995).
17. H. Gang, A.H. Krall, H.Z. Cummins, and D.A. Weitz, Phys. Rev. E 59, 715 (1999).
18. P.N. Segrè and P.N. Pusey, Phys. Rev. Lett. 77, 771 (1996).
19. P.N. Pusey, P.N. Segrè, O.P. Behrend, S.P. Meeker, and W.C.K. Poon, Physica A 235, 1 (1997).
20. P.N. Segrè and P.N. Pusey, Physica A 235, 9 (1997).
21. P.N. Segrè, S.P. Meeker, P.N. Pusey, and W.C.K. Poon, Phys. Rev. Lett. 75, 958 (1995).
22. T.G. Mason and D.A. Weitz, Phys. Rev. Lett. 74, 1250 (1995).
23. T.G. Mason and D.A. Weitz, Phys. Rev. Lett. 75, 2770 (1995).
24. A.J. Banchio, J. Bergenholtz, and G. Nägele, Phys. Rev. Lett. 82, 1792 (1999);J. Chem. Phys. (to be published).
25. E. Leutheusser, Phys. Rev. A 29, 2765 (1984).
26. U. Bengtzelius, W. Götze, and A. Sjölander, J. Phys. C 17, 5915 (1984).
27. W. Götze and L. Sjögren, Transp. Theory Stat. Phys. 24, 801 (1995).
28. W. Götze, Z. Phys. B: Condens. Matter 56, 139 (1984).
29. W. Götze, Z. Phys. B: Condens. Matter 60, 195 (1985).
30. S.P. Das and G.F. Mazenko, Phys. Rev. A 34, 2265 (1986).
31. W. Götze and L. Sjögren, Z. Phys. B: Condens. Matter 65, 415 (1987).
32. M. Fuchs, W. Götze, S. Hildebrand, I. Hofacker, and A. Latz, Phys.: Condens. Matter 4, 7709 (1992).
33. T. Franosch, M. Fuchs, W. Götze, M.R. Mayr, and A.P. Singh, Phys. Rev. E 55, 7153 (1997).
34. M. Fuchs, W. Götze, and M.R. Mayr, Phys. Rev. E 58, 3384 (1998).
35. R.P. Feynmann and M. Cohen, Phys. Rev. 102, 1189 (1956).
36. R.P. Feynmann and M. Cohen, Phys. Rev. 107, 13 (1957).
37. W. Götze and M. Lücke, Phys. Rev. B 13, 3825 (1976).
38. J.P. Hansen and I.R. McDonald, Theory of Simple Liquids (Academic Press, London, 1986).
39. L. Sjögren, Phys. Rev. A 22, 2866 (1980).
40. M. Fuchs, Transp. Theory Stat. Phys. 24, 855 (1995).
41. P.G. de Gennes, Physica (Amsterdam) 25, 825 (1959).
42. C.W.J. Beenakker and P. Mazur, Physica A 120, 388 (1983).
43. C.W.J. Beenakker and P. Mazur, Physica A 126, 349 (1984).
44. P.N. Segrè, O.P. Behrend, and P.N. Pusey, Phys. Rev. E 52, 5070 (1995).
45. G. Nägele and P. Baur, Europhys. Lett. 38, 557 (1997).
46. E.G.D. Cohen and I.M. de Schepper, J. Stat. Phys. 63, 241 (1991).
47. E.G.D. Cohen, R. Verberg, and I.M. de Schepper, Physica A 251, 251 (1998).
48. M. Tokuyama and I. Oppenheim, Physica A 216, 85 (1995).
49. M. Tokuyama, Physica A 229, 36 (1996).
50. M. Tokuyama, Y. Enomoto, and I. Oppenheim, Phys. Rev. E 56, 2302 (1997).
51. L. Fabbian, W. Götze, F. Sciortino, P. Tartaglia, and F. Thiery, Phys. Rev. E 59, R1347 (1999).
52. J. Bergenholtz and M. Fuchs, Phys. Rev. E 59, 5706 (1999).
53. W. Götze, in Amorphous and Liquid Materials, NATO ASI Series E, edited by E. Lüscher, G. Fritsch, and G. Jacucci (Martinus Nijhoff, Dordrecht, 1987), Vol. 118, p. 34.
54. J.-L. Barrat, W. Götze, and A. Latz, J. Phys.: Condens. Matter 1, 7163 (1989).
55. T. Franosch, W. Götze, M.R. Mayr, and A.P. Singh, J. Non-Cryst. Solids 235-237, 71 (1998).
56. As the MCT predicts a nonexponential (Formula presented)-relaxtion process, the definition of (Formula presented) is not unique 32. A useful definition is (Formula presented) for (Formula presented) which will be used in Sec. III A.
57. R.D. Mountain, J. Res. Natl. Bur. Stand., Sect. A 70, 207 (1966).
58. F. Sciortino, L. Fabbian, S.-H. Chen, and P. Tartaglia, Phys. Rev. E 56, 5397 (1997).
59. S. Kämmerer, W. Kob, and R. Schilling, Phys. Rev. E 58, 2131 (1998).
60. C. Bennemann, J. Baschnagel, and W. Paul, Eur. Phys. J. B 10, 323 (1999).
61. T. Gleim and W. Kob, Phys. Rev. Lett. 81, 4404 (1999).
62. G.K. Batchelor, J. Fluid Mech. 83, 97 (1977).
63. G. Nägele and J. Bergenholtz, J. Chem. Phys. 108, 9893 (1998).
64. The notation (Formula presented) is used.
65. J. Bergenholtz, F.M. Horn, W. Richtering, N. Willenbacher, and N.W.N.J. Wagner, Phys. Rev. E 58, R4088 (1998), and references therein.
66. P. Baur, G. Nägele, and R. Klein, Phys. Rev. E 53, 6224 (1996).
67. M. Fuchs, J. Hofacker, and A. Latz, Phys. Rev. A 45, 898 (1992).