Strain softening, yielding, and shear thinning in glassy colloidal suspensions

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 2, 2005, Pages

  Kobelev, Vladimir ^a   Schweizer, Kenneth S ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COLLOIDAL SUSPENSIONS; ENTROPIC BARRIER HOPPING; SHEAR THINNING; STRAIN SOFTENTING;

COMPUTATIONAL METHODS; CONSTRAINT THEORY; GLASS; GLASS TRANSITION; SHEAR STRESS; STRAIN; VOLUME FRACTION; YIELD STRESS;

COLLOIDS;

EID: 41349091003     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.021401     Document Type: Article

References (91)

1. Jamming and Rheology: Constrained Dynamics on Microscopic and Macroscopic Scales, edited by A. J. Liu and S. R. Nagel (TayJor and Francis, London, 2001); H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996).
2. Jamming and Rheology: Constrained Dynamics on Microscopic and Macroscopic Scales, edited by A. J. Liu and S. R. Nagel (TayJor and Francis, London, 2001); H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996).
3. R. G. Larson, The Structure and Rheology of Complex Fluids (Oxford University Press, New York, 1999).
4. A. J. Liu and S. R. Nagel, Nature (London), 395, 21 (1998).
5. W. B. Russel, D. A. Saville, and W. R. Schowalter, Colloidal Dispersions (Cambridge University Press, New York, 1989).
6. G. M. Gratson, M. Xu, and J. A. Lewis, Nature (London) 428, 386 (2004).
7. J. C. Dyre, Phys. Rev. Lett. 58, 792 (1987); Phys. Rev. B 51, 12276 (1995).
8. J. C. Dyre, Phys. Rev. Lett. 58, 792 (1987); Phys. Rev. B 51, 12276 (1995).
9. V. I. Arkhipov and H. Bassler, Phys. Rev. E 52, 1227 (1995); H. Bassler, Phys. Rev. Lett. 58, 767 (1987).
10. V. I. Arkhipov and H. Bassler, Phys. Rev. E 52, 1227 (1995); H. Bassler, Phys. Rev. Lett. 58, 767 (1987).
11. C. Monthus and J. P. Bouchaud, J. Phys. A 29, 3847 (1996); J. P. Bouchaud, L. Cugliandolo, J. Kuchan, and M. Mezard, Physica A 226, 243 (1996).
12. C. Monthus and J. P. Bouchaud, J. Phys. A 29, 3847 (1996); J. P. Bouchaud, L. Cugliandolo, J. Kuchan, and M. Mezard, Physica A 226, 243 (1996).
13. R. M. L. Evans, M. E. Cates, and P. Sollich, Eur. Phys. J. B 10, 705 (1999).
14. P. Sollich, F. Lequeux, P. Hebraud, and M. E. Cates, Phys. Rev. Lett. 78, 2020 (1997); P. Sollich, Phys. Rev. E 58, 738 (1998); S. M. Fielding, P. Sollich, and M. E. Cates, J. Rheol. 44, 323 (2000).
15. P. Sollich, F. Lequeux, P. Hebraud, and M. E. Cates, Phys. Rev. Lett. 78, 2020 (1997); P. Sollich, Phys. Rev. E 58, 738 (1998); S. M. Fielding, P. Sollich, and M. E. Cates, J. Rheol. 44, 323 (2000).
16. P. Sollich, F. Lequeux, P. Hebraud, and M. E. Cates, Phys. Rev. Lett. 78, 2020 (1997); P. Sollich, Phys. Rev. E 58, 738 (1998); S. M. Fielding, P. Sollich, and M. E. Cates, J. Rheol. 44, 323 (2000).
17. M. Cates and P. Sollich, J. Rheol. 48, 193 (2004).
18. L. Berthier, J. Phys.: Condens. Matter 15, S933 (2003).
19. W. Gotze and L. Sjogren, Rep. Prog. Phys. 55, 241 (1992); W. Gotze, J. Phys.: Condens. Matter 11, A1 (1999).
20. W. Gotze and L. Sjogren, Rep. Prog. Phys. 55, 241 (1992); W. Gotze, J. Phys.: Condens. Matter 11, A1 (1999).
21. W. van Megen and S. Underwood, Phys. Rev. E 49, 4206 (1994).
22. W. van Megen, T. C. Mortensen, S. R. Williams, and J. Muller, Phys. Rev. E 58, 6073 (1998).
23. M. Fuchs and M. E. Cates, Phys. Rev. Lett. 89, 248304 (2002); Faraday Discuss. 123, 267 (2003).
24. M. Fuchs and M. E. Cates, Phys. Rev. Lett. 89, 248304 (2002); Faraday Discuss. 123, 267 (2003).
25. M. Fuchs and M. E. Cates, J. Phys.: Condens. Matter 15, S401 (2003); M. E. Gates, C. B. Holmes, M. Fuchs, and O. Henrich, e-print cond- mat/0310579
26. M. Fuchs and M. E. Cates, J. Phys.: Condens. Matter 15, S401 (2003); M. E. Gates, C. B. Holmes, M. Fuchs, and O. Henrich, e-print cond- mat/0310579
27. K. Miyazaki and D. R. Reichman, Phys. Rev. E 66, 050501 (R) (2002).
28. L. Berthier, J. L. Barrat, and J. Kurchan, Phys. Rev. E 61, 5464 (2000).
29. L. Berthier and J. L. Barrat, J. Chem. Phys. 116, 6228 (2002).
30. R. Yamamoto and A. Onuki, Phys. Rev. E 58, 3515 (1998).
31. K. Miyazaki, D. R. Reichman, and R. Yamamoto, Phys. Rev. E 70, 011501 (2004).
32. F. Varnik, L. Bocquct, and J. L. Barrat, e-print cond-mat/0309089.
33. D. L. Malandro and D. J. Lacks, Phys. Rev. Lett. 81, 5576 (1998); J. Chem. Phys. 110, 4593 (1999).
34. D. L. Malandro and D. J. Lacks, Phys. Rev. Lett. 81, 5576 (1998); J. Chem. Phys. 110, 4593 (1999).
35. D. J. Lacks, Phys. Rev. Lett. 87, 225502 (2001); Phys. Rev. E 66, 051202 (2002).
36. D. J. Lacks, Phys. Rev. Lett. 87, 225502 (2001); Phys. Rev. E 66, 051202 (2002).
37. J. L. Barrat, J. Phys.: Condens. Matter 15, S1 (2003).
38. K. S. Schweizer and E. J. Saltzman, J. Chem. Phys. 119, 1181 (2003).
39. E. J. Saltzman and K. S. Schweizer, J. Chem. Phys. 119, 1197 (2003).
40. R. A. Denny, D. R. Reichman, and J. P. Bouchaud, Phys. Rev. Lett. 90, 025503 (2003); Y. Brumer and D. R. Reichman, Phys. Rev. E 69, 041202 (2004).
41. R. A. Denny, D. R. Reichman, and J. P. Bouchaud, Phys. Rev. Lett. 90, 025503 (2003); Y. Brumer and D. R. Reichman, Phys. Rev. E 69, 041202 (2004).
42. B. Doliwa and A. Heuer, Phys. Rev. E 67, 030501 (R) (2003); 67, 031506 (2003).
43. B. Doliwa and A. Heuer, Phys. Rev. E 67, 030501 (R) (2003); 67, 031506 (2003).
44. T. R. Kirkpatrick and P. G. Wolynes, Phys. Rev. A 35, 3072 (1987).
45. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, London, 1986).
46. E. G. D. Cohcn, R. Verberg, and I. M. de Schepper, Physica A 251, 251 (1998).
47. S. K. Ma, Modern Theory of Critical Phenomena (Benjamin, Reading, MA, 1976); N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, MA, 1992).
48. S. K. Ma, Modern Theory of Critical Phenomena (Benjamin, Reading, MA, 1976); N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, MA, 1992).
49. D. Oxtoby in Liquids, Freezing, and the Glass Transition, edited by J. P. Hansen, D. Levesque, and J. Zinn-Justin (North-Holland, Amsterdam, 1991).
50. J. P. Garrahan (private communication); S. Whitelam and J. P. Garrahan, J. Phys. Chem. B 108, 6611 (2004); F. Ritort and P.Sollich, Adv. Phys. 52, 219 (2003).
51. J. P. Garrahan (private communication); S. Whitelam and J. P. Garrahan, J. Phys. Chem. B 108, 6611 (2004); F. Ritort and P.Sollich, Adv. Phys. 52, 219 (2003).
52. J. P. Garrahan (private communication); S. Whitelam and J. P. Garrahan, J. Phys. Chem. B 108, 6611 (2004); F. Ritort and P.Sollich, Adv. Phys. 52, 219 (2003).
53. H. A. Kramers, Physica (Amsterdam) 7, 284 (1940).
54. C. Kaur and S. P. Das, Phys. Rev. Lett. 86, 2062 (2000).
55. K. S. Schweizer (in preparation).
56. Dis smaller (∼0.5σ-0.6σ) than the 0.8σ value we employ. However, this is a rather minor (σ factor of 2) constant numerical prefactor correction to the hopping friction and transport coefficients deduced using Eq. (12), which seems insignificant given the other simplifications employed in our calculations, including the use of PY theory for structural input.
57. T. G. Mason, H. Gang, and D. A. Weitz, J. Opt. Soc. Am. A 14, 139 (1997).
58. Y. L. Chen and K. S. Schweizer, J. Chem. Phys. 120, 7212 (2004).
59. G. Petekidis, D. Vlassopoulos, and P. N. Pusey, Faraday Discuss. 123, 287 (2003); G. Petekidis, A. Moussaid, and P. N. Pusey, Phys. Rev. E 66, 051402 (2002).
60. G. Petekidis, D. Vlassopoulos, and P. N. Pusey, Faraday Discuss. 123, 287 (2003); G. Petekidis, A. Moussaid, and P. N. Pusey, Phys. Rev. E 66, 051402 (2002).
61. L. B. Chen and C. F. Zukoski, J. Chem. Soc., Faraday Trans. 86, 2629 (1990).
62. W. Frith, T. Strivens, and J. Mewis, J. Colloid Interface Sci. 139, 55 (1990); J. Mewis, W. J. Frith, T. Strivens, and W. B. Russel, AIChE J. 35, 415 (1989).
63. W. Frith, T. Strivens, and J. Mewis, J. Colloid Interface Sci. 139, 55 (1990); J. Mewis, W. J. Frith, T. Strivens, and W. B. Russel, AIChE J. 35, 415 (1989).
64. P. A. Nommensen, M. H. G. Duits, D. van den Ende, and J. Mellema, Phys. Rev. E 59, 3147 (1999); P. A. Nommensen, M. H. G. Duits, J. S. Lopulissa, D. van den Ende, and J. Mellema, Prog. Colloid Polym. Sci. 110, 144 (1998).
65. P. A. Nommensen, M. H. G. Duits, D. van den Ende, and J. Mellema, Phys. Rev. E 59, 3147 (1999); P. A. Nommensen, M. H. G. Duits, J. S. Lopulissa, D. van den Ende, and J. Mellema, Prog. Colloid Polym. Sci. 110, 144 (1998).
66. T. G. Mason and D. A. Weitz, Phys. Rev. Lett. 75, 2770 (1995).
67. H. Watanabe, M. L. Yao, K. Osaki, T. Shokata, H. Niwa, and Y. Morishima, Rheol. Acta 38, 2 (1999); 37, 1 (1998).
68. H. Watanabe, M. L. Yao, K. Osaki, T. Shokata, H. Niwa, and Y. Morishima, Rheol. Acta 38, 2 (1999); 37, 1 (1998).
69. M. J. Maranzano and N. J. Wagner, J. Chem. Phys. 117, 10291 (2002).
70. L. A. Brown, C. F. Zukoski, and L. R. White, AIChE J. 48, 492 (2002).
71. M. D. Rintoul and S. Torquato, J. Chem. Phys. 105, 9258 (1996).
72. D. Andrew, R. Jones, B. Leary, and D. V. Boger, J. Colloid Interface Sci. 147, 479 (1991); C. G. de Kruif, E. M. F. van Iersel, A. Vrij, and W. B. Russel, J. Chem. Phys. 83, 4717 (1985); J. C. van der Werff and C. G. de Kruif, J. Rheol. 33, 421 (1989).
73. D. Andrew, R. Jones, B. Leary, and D. V. Boger, J. Colloid Interface Sci. 147, 479 (1991); C. G. de Kruif, E. M. F. van Iersel, A. Vrij, and W. B. Russel, J. Chem. Phys. 83, 4717 (1985); J. C. van der Werff and C. G. de Kruif, J. Rheol. 33, 421 (1989).
74. D. Andrew, R. Jones, B. Leary, and D. V. Boger, J. Colloid Interface Sci. 147, 479 (1991); C. G. de Kruif, E. M. F. van Iersel, A. Vrij, and W. B. Russel, J. Chem. Phys. 83, 4717 (1985); J. C. van der Werff and C. G. de Kruif, J. Rheol. 33, 421 (1989).
75. M. K. Chow and C. F. Zukoski, J. Rheol. 39, 33 (1995).
76. L. Marshall and C. F. Zukoski, J. Phys. Chem. 94, 1164 (1990).
77. F. Spaepan, Acta Metall. 25, 407 (1977).
78. S. Ramakrishnan, Y. L. Chen, K. S. Schweizer, and C. F. Zukoski, Phys. Rcv. E 70, 040401 (R) (2004).
79. R. Buscall, J. McGowan, and A. J. Morton-Jones, J. Rheol. 37, 621 (1993).
80. H. A. Barnes, J. Non-Newtonian Fluid Mech. 81, 133 (1999).
81. Z. Cheng, J. Zhu, P. M. Chaiken, S. E. Phan, and W. B. Russel, Phys. Rev. E 65, 041405 (2002).
82. C. A. Angell, K. L. Ngai, G. B. McKenna, P. F. McMillan, and S. W. Martin, J. Appl. Phys. 88, 3113 (2000); V. N. Novikov and A. P. Sokolov, Phys. Rev. E 67, 031507 (2003).
83. C. A. Angell, K. L. Ngai, G. B. McKenna, P. F. McMillan, and S. W. Martin, J. Appl. Phys. 88, 3113 (2000); V. N. Novikov and A. P. Sokolov, Phys. Rev. E 67, 031507 (2003).
84. V. Gopalakrishnan and C. F. Zukoski, J. Rheol. 48, 1321 (2004).
85. M. D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000); R. Richert, J. Phys.: Condens. Matter 14, R703 (2002).
86. M. D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000); R. Richert, J. Phys.: Condens. Matter 14, R703 (2002).
87. K. S. Schweizer and E. J. Saltzman, J. Phys. Chem. B 108, 19729 (2004).
88. E. Bertrand, J. Bibette, and V. Schmitt, Phys. Rev. E 66, 060401(R) (2002).
89. C. B. Holmes, M. Fuchs, and M. E. Cates, Europhys. Lett. 63, 240 (2003).
90. G. Szamel, Phys. Rev. Lett. 93, 178301 (2004).
91. P. Habdas, D. Schaar, A. C. Levitt, and E. R. Weeks, Europhys. Lett. 76, 477 (2004).