Advertisement

The European Physical Journal Special Topics

, Volume 222, Issue 11, pp 2803–2817 | Cite as

Time-dependent flow in arrested states – transient behaviour

  • K. J. Mutch
  • M. Laurati
  • C. P. Amann
  • M. Fuchs
  • S. U. Egelhaaf
Review Shear Flow

Abstract

The transient behaviour of highly concentrated colloidal liquids and dynamically arrested states (glasses) under time-dependent shear is reviewed. This includes both theoretical and experimental studies and comprises the macroscopic rheological behaviour as well as changes in the structure and dynamics on a microscopic individual-particle level. The microscopic and macroscopic levels of the systems are linked by a comprehensive theoretical framework which is exploited to quantitatively describe these systems while they are subjected to an arbitrary flow history. Within this framework, theoretical predictions are compared to experimental data, which were gathered by rheology and confocal microscopy experiments, and display consistent results. Particular emphasis is given to (i) switch-on of shear flow during which the system can liquify, (ii) switch-off of shear flow which might still leave residual stresses in the system, and (iii) large amplitude oscillatory shearing. The competition between timescales and the dependence on flow history leads to novel features in both the rheological response and the microscopic structure and dynamics.

Keywords

Shear Rate European Physical Journal Special Topic Colloidal Dispersion Brownian Dynamic Transient Regime 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    P.N. Pusey, Liquids, Freezing and the Glass Transition, In: Proceedings of the Les Houches Summer School, edited by J.P. Hansen, D. Levesque, J. Zinn-Justin (Elsevier, Amsterdam, 1991)Google Scholar
  2. 2.
    W.C.K. Poon, A day in the life of a hard-shpere suspension, In: Soft and Fragile Matter: Nonequilibrium Dynamics, Metastability and Flow, edited by M.E. Cates, M.R. Evans (Institute of Physics Pub., copublished by Scottish Universities Summer School in Physics, Oxford, 2000)Google Scholar
  3. 3.
    T. McLeish, Rheology of linear and branched polymers, In: Soft and Fragile Matter: Nonequilibrium Dynamics, Metastability and Flow, edited by M.E. Cates, M.R. Evans (Institute of Physics Pub., copublished by Scottish Universities Summer School in Physics, Oxford, 2000)Google Scholar
  4. 4.
    J.M. Brader, J. Phys.: Condens. Matter 22, 363101 (2010)CrossRefGoogle Scholar
  5. 5.
    W.G. Hoover, F.H. Ree, J. Chem. Phys. 49, 3609 (1968)ADSCrossRefGoogle Scholar
  6. 6.
    P.N. Pusey, W. van Megen, Nature 320, 340 (1986)ADSCrossRefGoogle Scholar
  7. 7.
    U. Gasser, J. Phys.: Condens. Matter 21, 203101 (2009)ADSCrossRefGoogle Scholar
  8. 8.
    P.N. Pusey, E. Zaccarelli, C. Valeriani, E. Sanz, W.C.K. Poon, M.E. Cates, Phil. Trans. R. Soc. A 367, 4993 (2009)ADSCrossRefGoogle Scholar
  9. 9.
    L.V. Woodcock, Ann. N. Y. Acad. Sci. 37, 274 (1981)ADSGoogle Scholar
  10. 10.
    P.N. Pusey, W. van Megen, Phys. Rev. Lett. 59, 2083 (1987)ADSCrossRefGoogle Scholar
  11. 11.
    W. van Megen, P.N. Pusey, Phys. Rev. A 43, 5429 (1991)ADSCrossRefGoogle Scholar
  12. 12.
    W. Götze, L. Sjögren, Rep. Prog. Phys. 55, 241 (1992)CrossRefGoogle Scholar
  13. 13.
    W. Götze, Complex Dynamics of Glass-Forming Liquids, A Mode-Coupling Theory (Oxford University Press, 2009)Google Scholar
  14. 14.
    W. van Megen, S.M. Underwood, Phys. Rev. Lett. 70, 2766 (1993)ADSCrossRefGoogle Scholar
  15. 15.
    W. van Megen, S.M. Underwood, Phys. Rev. E 49, 4206 (1994)ADSCrossRefGoogle Scholar
  16. 16.
    I.M. Krieger, Adv. Colloid Interface Sci. 3, 111 (1972)CrossRefzbMATHGoogle Scholar
  17. 17.
    I.M. Krieger, M. Eguiluz, Trans. Soc. Rheol. 20, 29 (1976)CrossRefGoogle Scholar
  18. 18.
    B.J. Ackerson, Physica A 174, 15 (1991)ADSCrossRefGoogle Scholar
  19. 19.
    K.N. Pham, G. Petekidis, D. Vlassopoulos, S.U. Egelhaaf, P.N. Pusey, W.C.K. Poon, Europhys. Lett. 75, 624 (2006)ADSCrossRefGoogle Scholar
  20. 20.
    K.N. Pham, G. Petekidis, D. Vlassopoulos, S.U. Egelhaaf, W.C.K. Poon, P.N. Pusey, J. Rheol. 52, 649 (2008)ADSCrossRefGoogle Scholar
  21. 21.
    T. Sentjabrskaja, E. Babaliari, J. Hendricks, M. Laurati, G. Petekidis, S.U. Egelhaaf, Soft Matter 9, 4524 (2013)ADSCrossRefGoogle Scholar
  22. 22.
    G.K. Batchelor, J. Fluid Mech. 83, 97 (1977)MathSciNetADSCrossRefGoogle Scholar
  23. 23.
    G. Petekidis, P.N. Pusey, A. Moussaïd, S.U. Egelhaaf, W.C.K. Poon, Phys. A 306, 334 (2002)CrossRefzbMATHGoogle Scholar
  24. 24.
    G. Petekidis, A. Moussaïd, P.N. Pusey, Phys. Rev. E 66, 051402 (2002)ADSCrossRefGoogle Scholar
  25. 25.
    G. Petekidis, D. Vlassopoulos, P.N. Pusey, Faraday Discuss. 123, 287 (2003)ADSCrossRefGoogle Scholar
  26. 26.
    K.N. Pham, S.U. Egelhaaf, A. Moussaïd, P.N. Pusey, Rev. Sci. Instrum. 75, 2419 (2004)ADSCrossRefGoogle Scholar
  27. 27.
    R. Besseling, E.R. Weeks, A.B. Schofield, W.C.K. Poon, Phys. Rev. Lett. 99, 028301 (2007)ADSCrossRefGoogle Scholar
  28. 28.
    K.J. Mutch, N. Koumakis, M. Laurati, S.U. Egelhaaf (to be published)Google Scholar
  29. 29.
    P. D’Haene, J.Mewis, G.G. Fuller, J. Colloid Interface Sci. 156, 350 (1993)CrossRefGoogle Scholar
  30. 30.
    J.W. Bender, N.J. Wagner, J. Rheol. 40, 899 (1996)ADSCrossRefGoogle Scholar
  31. 31.
    B.J. Maranzano, N.J. Wagner, J. Chem. Phys. 117, 10291 (2002)ADSCrossRefGoogle Scholar
  32. 32.
    D.R. Foss, J.F. Brady, J. Fluid Mech. 407, 167 (2000)ADSCrossRefzbMATHGoogle Scholar
  33. 33.
    J.F. Brady, Chem. Eng. Sci. 56, 2921 (2001)CrossRefGoogle Scholar
  34. 34.
    Q.D. Nguyen, D.V. Boger, J. Rheol. 27, 321 (1983)CrossRefGoogle Scholar
  35. 35.
    J. Persello, J. Chang, B. Cabane, A. Magnin, J.M. Piau, J. Rheol. 38, 1845 (1994)ADSCrossRefGoogle Scholar
  36. 36.
    C. Derec, G. Ducouret, A. Adjari, F. Lequeux, Phys. Rev. E 67, 061403 (2003)ADSCrossRefGoogle Scholar
  37. 37.
    F. Mahaut, X. Chateau, P. Coussot, G. Ovarlez, J. Rheol. 52, 287 (2008)ADSCrossRefGoogle Scholar
  38. 38.
    S.A. Khan, C.A. Schnepper, R.C. Armstrong, J. Rheol. 32, 69 (1988)ADSCrossRefGoogle Scholar
  39. 39.
    M.T. Islam, N. Rodriguez-Hornedo, S. Ciotti, C. Ackermann, Pharm. Res. 21, 1192 (2004)CrossRefGoogle Scholar
  40. 40.
    A. Mohraz, M.J. Solomon, J. Rheol. 49, 657 (2005)ADSCrossRefGoogle Scholar
  41. 41.
    L. Bécu, S. Manneville, A. Colin, Phys. Rev. Lett. 96, 138302 (2006)ADSCrossRefGoogle Scholar
  42. 42.
    P. Akcora, H. Liu, S.K. Kumar, J. Moll, Y. Li, B.C. Benicewicz, L.S. Schadler, D. Acehan, A.Z. Panagiotopoulos, V. Pryamitsyn, V. Ganesan, J. Ilavsky, P. Thiyagarajan, R.H. Colby, J.F. Douglas, Nature Mater. 8, 354 (2009)ADSCrossRefGoogle Scholar
  43. 43.
    V. Carrier, G. Petekidis, J. Rheol. 53, 245 (2009)ADSCrossRefGoogle Scholar
  44. 44.
    T. Divoux, C. Barentin, S. Manneville, Soft Matter 7, 9335 (2011)ADSCrossRefGoogle Scholar
  45. 45.
    J.-F. Berret, Langmuir 13, 2227 (1997)CrossRefGoogle Scholar
  46. 46.
    S. Lerouge, J.-P. Decruppe, C. Humbert, Phys. Rev. Lett. 81, 5457 (1998)ADSCrossRefGoogle Scholar
  47. 47.
    J.F.A. Soltero, F. Bautista, J.E. Puig, O. Manero, Langmuir 15, 1604 (1999)CrossRefGoogle Scholar
  48. 48.
    K. Osaki, T. Inoue, T. Isomura, J. Polym. Sci. B 38, 2043 (200)Google Scholar
  49. 49.
    M.T. Islam, L.A. Archer, J. Polym. Sci. B 39, 2275 (2001)CrossRefGoogle Scholar
  50. 50.
    J.-P. Decruppe, S. Lerouge, J.-F. Berret, Phys. Rev. E 63, 022501 (2001)ADSCrossRefGoogle Scholar
  51. 51.
    P.E. Boukany, O. Hemminger, S.-Q. Wang, L.J. Lee, Phys. Rev. Lett. 105, 027802 (2010)ADSCrossRefzbMATHGoogle Scholar
  52. 52.
    R. Ganapathy, A.K. Sood, J. Non-Newtonian Fluid Mech. 149, 78 (2008)CrossRefzbMATHGoogle Scholar
  53. 53.
    S. Ravindranath, S.-Q. Wang, J. Rheol. 52, 681 (2008)ADSCrossRefGoogle Scholar
  54. 54.
    P. Tapadia, S.-Q. Wang, Macromolecules 37, 9083 (2004)ADSCrossRefGoogle Scholar
  55. 55.
    P. Tapadia, S.-Q. Wang, Phys. Rev. Lett. 96, 016001 (2006)ADSCrossRefGoogle Scholar
  56. 56.
    R.G. Larson, The structure and rheology of complex fluids (Oxford University Press, New York, 1999)Google Scholar
  57. 57.
    E. Bouchbinder, J.S. Langer, Phys. Rev. Lett. 106, 148301 (2011)ADSCrossRefGoogle Scholar
  58. 58.
    P. Schall, D.A. Weitz, F. Spaepen, Science 318, 1895 (2007)ADSCrossRefGoogle Scholar
  59. 59.
    P. Sollich, F. Lequeux, P. Hébraud, M.E. Cates, Phys. Rev. Lett. 78, 2020 (1997)ADSCrossRefGoogle Scholar
  60. 60.
    M. Siebenbürger, M. Fuchs, M. Ballauff, Soft Matter 8, 4025 (2012)CrossRefGoogle Scholar
  61. 61.
    A. Ikeda, L. Berthier, P. Sollich, Phys. Rev. Lett. 109, 018301 (2012)ADSCrossRefGoogle Scholar
  62. 62.
    J.K.G. Dhont, An Introduction to Dynamics of Colloids (Elsevier Science, Amsterdam, 1996)Google Scholar
  63. 63.
    J. Bergenholtz, J. Brady, M. Vicic, J. Fluid. Mech. 456, 239 (2002)ADSCrossRefzbMATHGoogle Scholar
  64. 64.
    W. Russel, D.A. Saville, W.R. Schowalter, Colloidal dispersions (Cambridge University Press, 1989)Google Scholar
  65. 65.
    J.F. Brady, J. Chem. Phys. 99, 567 (1993)ADSCrossRefGoogle Scholar
  66. 66.
    J.M. Brader, M. Krüger, Mol. Phys. 109, 1029 (2011)ADSCrossRefGoogle Scholar
  67. 67.
    P. Hopkins, A. Fortini, A.J. Archer, M. Schmidt, J. Chem. Phys. 133, 224505 (2010)ADSCrossRefGoogle Scholar
  68. 68.
    W. van Megen, T.C. Mortensen, S. Williams, J. Müller, Phys. Rev. E 58, 6073 (1998)ADSCrossRefGoogle Scholar
  69. 69.
    K. Kawasaki, J.D. Gunton, Phys. Rev. A 8, 2048 (1973)ADSCrossRefGoogle Scholar
  70. 70.
    D.J. Evans, G.P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Cambridge University Press, 2008)Google Scholar
  71. 71.
    J.M. Brader, M. Cates, M. Fuchs, Phys. Rev. Lett. 101, 138301 (2008)ADSCrossRefGoogle Scholar
  72. 72.
    J.M. Brader, M.E. Cates, M. Fuchs, Phys. Rev. E 86, 021403 (2012)ADSCrossRefGoogle Scholar
  73. 73.
    M. Fuchs, M.E. Cates, Phys. Rev. Lett. 89, 248304 (2002)ADSCrossRefGoogle Scholar
  74. 74.
    M. Fuchs, M.E. Cates, J. Rheol. 53, 957 (2009)ADSCrossRefGoogle Scholar
  75. 75.
    J.M. Brader, Th. Voigtmann, M. Fuchs, R.G. Larson, M.E. Cates, Proc. Natl. Acad. Sci. USA 106, 15186 (2009)ADSCrossRefGoogle Scholar
  76. 76.
    C.P. Amann, M. Siebenbürger, M. Krüger, F. Weysser, M. Ballauff, M. Fuchs, J. Rheol. 57, 149 (2013)ADSCrossRefGoogle Scholar
  77. 77.
    M. Laurati, K.J. Mutch, N. Koumakis, J. Zausch, C.P. Amann, A.B. Schofield, G. Petekidis, J.F. Brady, J. Horbach, M. Fuchs, S.U. Egelhaaf, J. Phys.: Condens. Matter 24, 464104 (2012)ADSCrossRefGoogle Scholar
  78. 78.
    N. Koumakis, A. Pamvouxoglou, A.S. Poulos, G. Petekidis, Soft Matter 8, 4271 (2012)ADSCrossRefGoogle Scholar
  79. 79.
    J.J. Crassous, M. Siebenbürger, M. Ballauff, M. Drechsler, D. Hajnal, O. Henrich, M. Fuchs, J. Chem. Phys. 128, 204902 (2008)ADSCrossRefGoogle Scholar
  80. 80.
    M. Siebenbürger, M. Fuchs, H. Winter, M. Ballauff, J. Rheol. 53, 707 (2009)ADSCrossRefGoogle Scholar
  81. 81.
    F. Varnik, L. Bocquet, J.-L. Barrat, J. Chem. Phys. 120, 2788 (2004)ADSCrossRefGoogle Scholar
  82. 82.
    J. Zausch, J. Horbach, M. Laurati, S.U. Egelhaaf, J.M. Brader, T. Voigtmann, M. Fuchs, J. Phys.: Condens. Matter 20, 404210 (2008)CrossRefGoogle Scholar
  83. 83.
    N. Koumakis, M. Laurati, S.U. Egelhaaf, J.F. Brady, G. Petekidis, Phys. Rev. Lett. 108, 098303 (2012)ADSCrossRefGoogle Scholar
  84. 84.
    A. van Blaaderen, P. Wiltzius, Science 270, 1177 (1995)ADSCrossRefGoogle Scholar
  85. 85.
    E.R. Weeks, J.C. Crocker, A.C. Levitt, A. Schofield, D.A. Weitz, Science 287, 627 (1999)ADSCrossRefGoogle Scholar
  86. 86.
    A.D. Dinsmore, E.R. Weeks, V. Prasad, A.C. Levitt, D.A. Weitz, Appl. Opt. 40, 4152 (2001)ADSCrossRefGoogle Scholar
  87. 87.
    D. Derks, H. Wisman, A. van Blaaderen, A. Imhof, J. Phys.: Condens. Matter 16, S3917 (2004)ADSCrossRefGoogle Scholar
  88. 88.
    P.A. Smith, G. Petekidis, S.U. Egelhaaf, W.C.K. Poon, Phys. Rev. E 76, 041402 (2007)ADSCrossRefGoogle Scholar
  89. 89.
    D. Chen, D. Semwogerere, J. Sato, V. Breedveld, E.R. Weeks, Phys. Rev. E 81, 011403 (2010)ADSCrossRefGoogle Scholar
  90. 90.
    X. Cheng, J.H. McCoy, J.N. Israelachvili, I. Cohen, Science 333, 1276 (2011)ADSCrossRefGoogle Scholar
  91. 91.
    P. Ballesta, R. Besseling, L. Isa, G. Petekidis, W.C.K. Poon, Phys. Rev. Lett. 101, 258301 (2008)ADSCrossRefGoogle Scholar
  92. 92.
    R. Besseling, L. Isa, E.R. Weeks, W.C.K. Poon, Adv. Colloid Interface Sci. 146, 1 (2009)CrossRefGoogle Scholar
  93. 93.
    R. Besseling, L. Isa, P. Ballesta, G. Petekidis, M.E. Cates, W.C.K. Poon, Phys. Rev. Lett. 105, 268301 (2010)ADSCrossRefGoogle Scholar
  94. 94.
    S.K. Dutta, A. Mbi, R.C. Arevalo, D.L. Blair, Rev. Sci. Instrum. 84, 063702 (2013)ADSCrossRefGoogle Scholar
  95. 95.
    J.C. Crocker, D.G. Grier, J. Colloid Interface Sci. 179, 298 (1996)CrossRefGoogle Scholar
  96. 96.
    M.C. Jenkins, S.U. Egelhaaf, Adv. Colloid Interface Sci. 136, 65 (2008)CrossRefGoogle Scholar
  97. 97.
    D. Semwogerere, E.R. Weeks, Confocal microscopy, In: Encyclopedia of Biomaterials and Biomedical Engineering, edited by G. Wnek, G. Bowlin (Taylor & Francis, 2005)Google Scholar
  98. 98.
    N. Koumakis, M. Laurati, K.J. Mutch, S.U. Egelhaaf, J. Brady, G. Petekidis (to be published)Google Scholar
  99. 99.
    J. Zausch, J. Horbach, Europhys. Lett. 88, 60001 (2009)ADSCrossRefGoogle Scholar
  100. 100.
    M. Ballauff, J.M. Brader, S.U. Egelhaaf, M. Fuchs, J. Horbach, N. Koumakis, M. Krüger, M. Laurati, K.J. Mutch, G. Petekidis, M. Siebenbürger, T. Voigtmann, J. Zausch, Phys. Rev. Lett. 110, 215701 (2013)ADSCrossRefGoogle Scholar
  101. 101.
    J.M. Brader, M. Siebenbürger, M. Ballauff, K. Reinheimer, M. Wilhelm, S. J. Frey, F. Weysser, M. Fuchs, Phys. Rev. E 82, 061401 (2010)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • K. J. Mutch
    • 1
  • M. Laurati
    • 1
  • C. P. Amann
    • 2
  • M. Fuchs
    • 2
  • S. U. Egelhaaf
    • 1
  1. 1.Condensed Matter Physics LaboratoryHeinrich-Heine UniversityDüsseldorfGermany
  2. 2.Fachbereich PhysikUniversity of KonstanzKonstanzGermany

Personalised recommendations