Nonlinear rheological properties of dense colloidal dispersions close to a glass transition under steady shear

Advances in Polymer Science

Volumn 236, Issue , 2010, Pages 55-115

  Fuchs, Matthias ^a  

^a UNIVERSITY OF KONSTANZ   (Germany)

Author keywords

Colloidal dispersion; Flow curve; Glass transition; Integration through transients approach; Linear viscoelasticity; Mode coupling theory; Non equilibrium stationary state; Nonlinear rheology; Shear modulus; Steady shear

Indexed keywords

EID: 79955483857     PISSN: 00653195     EISSN: None     Source Type: Book Series    
DOI: 10.1007/12-2009-30     Document Type: Review

References (98)

1. Larson RG (1999) The structure and rheology of complex fluids. Oxford University Press, New York
2. Götze W, Sjögren L (1992) Rep Prog Phys 55:241
3. Russel WB, Saville DA, Schowalter WR (1989) Colloidal dispersions. Cambridge University Press, New York
4. Laun HM, Bung R, Hess S, Loose W, Hess O, Hahn K, Hädicke E, Hingmann R, Schmidt F, Lindner P (1992) J Rheol 36:743
5. Brady JF (1993) J Chem Phys 99:567
6. Sollich P, Lequeux F, Hébraud P, Cates ME (1997) Phys Rev Lett 78:2020
7. Sollich P (1998) Phys Rev E 58:738
8. Fielding S, Sollich P, Cates ME (2000) J Rheol 44:323
9. Berthier L, Barrat J-L, Kurchan J (2000) Phys Rev E 61:5464
10. Berthier L, Barrat J-L (2002) J Chem Phys 116:6228
11. Pusey PN, van Megen W (1987) Phys Rev Lett 59:2083
12. Megen W, Pusey PN (1991) Phys Rev A 43:5429
13. van Megen W, Underwood SM (1993) Phys Rev Lett 70:2766
14. van Megen W, Underwood SM (1994) Phys Rev E 49:4206
15. van Megen W, Mortensen TC, Müller J, Williams SR (1998) Phys Rev E 58:6073
16. Hébraud P, Lequeux F, Munch J, Pine D (1997) Phys Rev Lett 78:4657
17. Beck C, Härtl W, Hempelmann R (1999) J Chem Phys 111:8209
18. Bartsch E, Eckert T, Pies C, Sillescu H (2002) J Non-Cryst Solids 802:307
19. Eckert T, Bartsch E (2003) Faraday Discuss 123:51
20. Weeks ER, Crocker JC, Levitt AC, Schofield A, Weitz DA (2000) Science 287:627
21. Mason TG, Weitz DA (1995) Phys Rev Lett 75:2770
22. Zackrisson M, Stradner A, Schurtenberger P, Bergenholtz J (2006) Phys Rev E 73:011408
23. Senff H, Richtering W (1999) J Chem Phys 111:1705
24. Senff H, Richtering W, Norhausen Ch, Weiss A, Ballauff M (1999) Langmuir 15:102
25. Petekidis G, Vlassopoulos D, Pusey P (1999) Faraday Discuss 123:287
26. Petekidis G, Vlassopoulos D, Pusey PN (2004) J Phys Condens Matter 16:S3955
27. Petekidis G, Moussaid A, Pusey PN (2002) Phys Rev E 66:051402;
28. Petekidis G, Vlassopoulos D, Pusey PN (2003) Faraday Discuss 123:287
29. Pham KN, Petekidis G, Vlassopoulos D, Egelhaaf SU, Pusey PN, PoonWCK (2006) Europhys Lett 75:624
30. Besseling R, Weeks ER, Schofield AB, Poon WC (2007) Phys Rev Lett 99:028301
31. Crassous JJ, Siebenbürger M, Ballauf M, Drechsler M, Henrich O, Fuchs M (2006) J Chem Phys 125:204906
32. Crassous JJ, Siebenbürger M, Ballauf M, Drechsler M, Hajnal D, Henrich O, Fuchs M (2008) J Chem Phys 128:204902
33. Siebenbürger M, Fuchs M,Winter H, Ballauff M (2009) Viscoelasticity and shear flow of concentrated, non-crystallizing colloidal suspensions: Comparison with Mode-Coupling Theory. J Rheol 53:707-726
34. Phung T, Brady J, Bossis G (1996) J Fluid Mech 313:181
35. Strating P (1999) Phys Rev E 59:2175
36. Doliwa B, Heuer A (2000) Phys Rev E 61:6898
37. Purnomo EH, van den Ende D, Mellema J, Mugele F (2006) Europhys Lett 76:74
38. Götze W (1991) In: Hansen JP, Levesque D, Zinn-Justin J (eds) Liquids, freezing and glass transition. Session LI of Les Houches summer schools of theoretical physics, North-Holland, Amsterdam, 287, 1989
39. Götze W (1999) J Phys Condens Matter 11:A1
40. Miyazaki K, Reichman DR (2002) Phys Rev E 66:050501
41. Miyazaki K, Reichman DR, Yamamoto R (2004) Phys Rev E 70:011501
42. Kobelev V, Schweizer KS (2005) Phys Rev E 71:021401
43. Fuchs M, Cates ME (2002) Phys Rev Lett 89:248304
44. Fuchs M, Cates ME (2005) J Phys Condens Matter 17:S1681
45. Fuchs M, Cates ME (2009) A mode coupling theory for Brownian particles in homogeneous steady shear flow. J Rheol 53:957-1000
46. Dhont JKG (1996) An introduction to dynamics of colloids. Elsevier, Amsterdam
47. Risken H (1989) The Fokker-Planck equation. Springer, Berlin
48. Dhont JKG, Briels W (2008) J Rheol Acta 47:257-281
49. Bender J, Wagner NJ (1996) J Rheol 40:899
50. Varnik F, Bocquet L, Barrat JL (2004) J Chem Phys 120:2788
51. Ganapathy R, Sood AK (2006) Phys Rev Lett 96:108301
52. Ballesta P, Besseling R, Isa L, Petekidis G, Poon WCK (2008) Phys Rev Lett 101:258301
53. Van Kampen NG (2007) Stochastic processes in physics and chemistry. North Holland, Amsterdam
54. Forster D (1975) Hydrodynamic fluctuations, broken symmetry, and correlation functions. WA Benjamin, Reading, MA
55. Götze W, Sjögren L (1987) Z Phys B 65:415
56. Schofield J, Oppenheim I (1992) Physica A 187:210
57. Nägele G, Bergenholtz J (1998) J Chem Phys 108:9893
58. Miyazaki K, Wyss HM, Reichman DR, Weitz DA (2006) Europhys Lett 75:915
59. Brader JM, Voigtmann Th, Cates ME, Fuchs M (2007) Phys Rev Lett 98:058301
60. Lionberger RA, Russel WB (1994) J Rheol 38:1885
61. Onuki A, Kawasaki K (1979) Ann Phys (NY) 121:456
62. Kawasaki K, Gunton JD (1973) Phys Rev A 8:2048
63. Indrani AV, Ramaswamy S (1995) Phys Rev E 52:6492
64. Bergenholtz J, Fuchs M (1999) Phys Rev E 59:5706
65. Dawson K, Foffi G, Fuchs M, Gotze W, Sciortino F, Sperl M, Tartaglia P, Voigtmann T, Zaccarelli E (2001) Phys Rev E 63:011401
66. Fabbian L, Götze W, Sciortino F, Tartaglia P, Thiery F (1999) Phys Rev E 59:R1347-R1350
67. Sciortino F (2009) Nonlinear rheological properties of dense colloidal dispersions close to a glass transition under steady shear. Adv Polymer Sci. doi:10.1007/12-2009-30
68. Sciortino F (2003) Nat Mater 1:145-146
69. Pham KN, Puertas AM, Bergenholtz J, Egelhaaf SU, Moussaid A, Pusey PN, Schofield AB, Cates ME, Fuchs M, Poon WCK (2002) Science 296:104-106
70. Poon WCK, Pham KN, Egelhaaf SU, Pusey PN (2003) J Phys Cond Matt 15:S269-S275
71. Fuchs M, Ballauff M (2005) Colloids Surf A 270/271:232
72. Franosch T, Fuchs M, Götze W, Mayr MR, Singh AP (1997) Phys Rev E 55:7153
73. Fuchs M, Mayr MR (1999) Phys Rev E 60:5742
74. Franosch T, Götze W, Mayr MR, Singh AP (1998) J Non-Cryst Solids 235/237:71
75. Verberg R, de Schepper IM, Feigenbaum MJ, Cohen EGD (1997) J Stat Phys 87:1037
76. Henrich O, Pfeifroth O, Fuchs M (2007) J Phys Condens Matter 19:205132
77. Szamel G (2001) J Chem Phys 114:8708
78. Johnson SJ, de Kruif CG, May RP (1988) J Chem Phys 89:5909
79. Lionberger RA, Russel WB (2000) Adv Chem Phys 111:399
80. Fuchs M, Cates ME (2003) Faraday Discuss 123:267
81. Varnik F, Henrich O (2006) Phys Rev B 73:174209
82. Fuchs M, Götze W, Hofacker I, Latz A (1991) J Phys Condens Matter 3:5047-5071
83. Zausch J, Horbach J, Laurati M, Egelhaaf SU, Brader JM, Voigtmann Th, Fuchs M (2008) J Phys Condens Matt 20:404210
84. Angelani L, Leonardo RD, Ruocco G, Scala A, Sciortino F (2000) Phys Rev Lett 85:5356
85. Broderix K, Bhattachrya KK, Cavagna A, Zippelius Z (2000) Phys Rev Lett 85:5360
86. Hajnal D, Fuchs M (2009) Eur Phys J E, in print. doi:10.1140/epje/i2008- 10361-0; also at arXiv:0807.1288
87. Götze W (1984) Z Phys B 56:139
88. Fuchs M, Götze W, Hildebrand S, Latz A (1992) J Phys Condens Matter 4:7709
89. Saltzman EJ, Yatsenko G, Schweizer KS (2008) J Phys Condens Matter 20:244129
90. Pusey PN (1978) J Phys A 11:119
91. Varnik F (2006) J Chem Phys 125:164514
92. Henrich O, Varnik F, Fuchs M (2005) J Phys Condens Matter 17:S3625
93. Götze W, Voigtmann Th (2003) Phys Rev E 67:021502
94. Foffi G, Götze W, Sciortino F, Tartaglia P, Voigtmann Th (2003) Phys Rev Lett 91:085701
95. Kob W, Andersen HC (1995) Phys Rev E 51:4626; 52:4134
96. Gleim T, Kob W, Binder K (1998) Phys Rev Lett 81:4404
97. Flenner E, Szamel G (2005) Phys Rev E 72:011205
98. Brader JM, Cates ME, Fuchs M (2008) Phys Rev Lett 101:138301