Shear stresses of colloidal dispersions at the glass transition in equilibrium and in flow

Journal of Chemical Physics

Volumn 128, Issue 20, 2008, Pages

  Crassous, J J ^a   Siebenburger M ^a   Ballauff, M ^a   Drechsler, M ^a   Hajnal, D ^b   Henrich, O ^b   Fuchs, M ^b  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b UNIVERSITY OF KONSTANZ   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GLASS TRANSITION; MATHEMATICAL MODELS; POLYSTYRENES; RHEOLOGY; SHEAR STRESS; SYNTHESIS (CHEMICAL);

ELASTIC RESPONSE; EQUILIBRIUM STRESS FLUCTUATIONS;

COLLOIDS;

EID: 44449158707     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2921801     Document Type: Article

References (65)

1. R. G. Larson, The Structure and Rheology of Complex Fluids (Oxford University Press, New York, 1999).
2. W. B. Russel, D. A. Saville, and W. R. Schowalter, Colloidal Dispersions (Cambridge University Press, New York, 1989).
3. W. Götze and L. Sjögren, Rep. Prog. Phys. 55, 241 (1992).
4. P. N. Pusey and W. van Megen, Phys. Rev. Lett. 59, 2083 (1987).
5. W. Megen and P. N. Pusey, Phys. Rev. A 43, 5429 (1991).
6. W. van Megen and S. M. Underwood, Phys. Rev. Lett. 70, 2766 (1993).
7. W. van Megen and S. M. Underwood, Phys. Rev. E 49, 4206 (1994).
8. P. H́braud, F. Lequeux, J. Munch, and D. Pine, Phys. Rev. Lett. 78, 4657 (1997).
9. C. Beck, W. Härtl, and R. Hempelmann, J. Chem. Phys. 111, 8209 (1999).
10. E. Bartsch, T. Eckert, C. Pies, and H. Sillescu, J. Non-Cryst. Solids 802, 307 (2002).
11. T. Eckert and E. Bartsch, Faraday Discuss. 123, 51 (2003).
12. E. R. Weeks, J. C. Crocker, A. C. Levitt, A. Schofield, and D. A. Weitz, Science 287, 627 (2000).
13. T. G. Mason and D. A. Weitz, Phys. Rev. Lett. 75, 2770 (1995).
14. M. Zackrisson, A. Stradner, P. Schurtenberger, and J. Bergenholtz, Phys. Rev. E 73, 011408 (2006).
15. H. Senff, W. Richtering, Ch. Norhausen, A. Weiss, and M. Ballauff, Langmuir 15, 102 (1999).
16. H. Senff and W. Richtering, J. Chem. Phys. 111, 1705 (1999).
17. G. Petekidis, D. Vlassopoulos, and P. Pusey, Faraday Discuss. 123, 287 (1999).
18. G. Petekidis, D. Vlassopoulos, and P. N. Pusey, J. Phys.: Condens. Matter 16, S3955 (2004).
19. G. Petekidis, A. Moussad, and P. Pusey, Phys. Rev. E 66, 051402 (2002).
20. K. N. Pham, G. Petekidis, D. Vlassopoulos, S. U. Egelhaaf, P. N. Pusey, and W. C. K. Poon, Europhys. Lett. 75, 624 (2006).
21. R. Besseling, E. R. Weeks, A. B. Schofield, and W. C. Poon, Phys. Rev. Lett. 99, 028301 (2007).
22. J. J. Crassous, M. Siebenbürger, M. Ballauff, M. Drechsler, O. Henrich, and M. Fuchs, J. Chem. Phys. 125, 204906 (2006).
23. T. Phung, J. Brady, and G. Bossis, J. Fluid Mech. 313, 181 (1996).
24. P. Strating, Phys. Rev. E 59, 2175 (1999).
25. B. Doliwa and A. Heuer, Phys. Rev. E 61, 6898 (2000).
26. E. H. Purnomo, D. van den Ende, J. Mellema, and F. Mugele, Europhys. Lett. 76, 74 (2006).
27. W. Götze, in Liquids, Freezing and Glass Transition, Session LI (1989) of Les Houches Summer Schools of Theoretical Physics, edited by, J. P. Hansen, D. Levesque, and, J. Zinn-Justin, (North-Holland, Amsterdam, 1991), p. 287.
28. W. Götze, J. Phys.: Condens. Matter 11, A1 (1999).
29. J. K. G. Dhont, An Introduction to Dynamics of Colloids (Elsevier Science, Amsterdam, 1996).
30. H. M. Laun, R. Bung, S. Hess, W. Loose, O. Hess, K. Hahn, E. Hädicke, R. Hingmann, F. Schmidt, and P. Lindner, J. Rheol. 36, 743 (1992).
31. H. M. Wyss, K. Miyazaki, J. Mattsson, Z. Hu, D. R. Reichman, and D. A. Weitz, Phys. Rev. Lett. 98, 238303 (2007).
32. J. F. Brady, J. Chem. Phys. 99, 567 (1993).
33. P. Sollich, F. Lequeux, P. H́braud, and M. E. Cates, Phys. Rev. Lett. 78, 2020 (1997).
34. P. Sollich, Phys. Rev. E 58, 738 (1998).
35. S. Fielding, P. Sollich, and M. E. Cates, J. Rheol. 44, 323 (2000).
36. L. Berthier, J.-L. Barrat, and J. Kurchan, Phys. Rev. E 61, 5464 (2000).
37. L. Berthier and J.-L. Barrat, J. Chem. Phys. 116, 6228 (2002).
38. K. Miyazaki and D. R. Reichman, Phys. Rev. E 66, 050501 (2002).
39. K. Miyazaki, D. R. Reichman, and R. Yamamoto, Phys. Rev. E 70, 011501 (2004).
40. V. Kobelev and K. S. Schweizer, Phys. Rev. E 71, 021401 (2005).
41. M. Fuchs and M. E. Cates, Phys. Rev. Lett. 89, 248304 (2002); M. Fuchs and M. E. Cates (unpublished).
42. M. Fuchs and M. E. Cates, Faraday Discuss. 123, 267 (2003).
43. M. Fuchs and M. E. Cates, J. Phys.: Condens. Matter 17, S1681 (2005).
44. F. Varnik and O. Henrich, Phys. Rev. B 73, 174209 (2006).
45. J. J. Crassous, A. Wittemann, M. Siebenbuerger, M. Drechsler, and M. Ballauff, J. Colloid Polym. Sci. 286, 805 (2008).
46. J. F. Brady and J. F. Morris, J. Fluid Mech. 348, 103 (1997).
47. D. Drazer, J. Koplik, B. Khusid, and A. Acrivos, J. Fluid Mech. 460, 307 (2002).
48. G. Nägele and J. Bergenholtz, J. Chem. Phys. 108, 9893 (1998).
49. K. Miyazaki, H. M. Wyss, D. R. Reichman, and D. A. Weitz, Europhys. Lett. 75, 915 (2006).
50. J. M. Brader, Th. Voigtmann, M. E. Cates, and M. Fuchs, Phys. Rev. Lett. 98, 058301 (2007).
51. R. A. Lionberger and W. B. Russel, J. Rheol. 38, 1885 (1994).
52. T. Franosch, W. Götze, M. R. Mayr, and A. P. Singh, J. Non-Cryst. Solids 235-237, 71 (1998).
53. W. Götze, Z. Phys. B: Condens. Matter 56, 139 (1984).
54. M. Fuchs and M. Ballauff, J. Chem. Phys. 122, 094707 (2005).
55. D. Hajnal and M. Fuchs, "Flow curves of colloidal dispersions close to the glass transition: Asymptotic scaling laws in a schematic model of mode coupling theory," Eur. Phys. J. E (submitted).
56. N. Dingenouts, Ch. Norhausen, and M. Ballauff, Macromolecules 31, 8912 (1998).
57. W. G. Hoover, S. G. Gray, and K. W. Johnson, J. Chem. Phys. 55, 1128 (1971).
58. J. J. Crassous, R. Regisser, M. Ballauff, and W. Willenbacher, J. Rheol. 49, 851 (2005).
59. I. Deike, M. Ballauff, N. Willenbacher, and A. Weiss, J. Rheol. 45, 709 (2001).
60. G. Fritz, W. Pechhold, N. Willenbacher, and J. W. Norman, J. Rheol. 47, 303 (2003).
61. M. Fuchs, W. Götze, I. Hofacker, and A. Latz, J. Phys.: Condens. Matter 3, 5047 (1991).
62. T. Franosch, M. Fuchs, W. Götze, M. R. Mayr, and A. P. Singh, Phys. Rev. E 55, 7153 (1997).
63. O. Henrich, F. Varnik, and M. Fuchs, J. Phys.: Condens. Matter 17, S3625 (2005).
64. D. R. Foss and J. F. Brady, J. Fluid Mech. 407, 167 (2000).
65. A. J. Banchio and J. F. Brady, J. Chem. Phys. 118, 10323 (2003).