Abstract
The flow curves, viz. the curves of stationary stress under steady shearing, are obtained close to the glass transition in dense colloidal dispersions using asymptotic expansions in the schematic \(\ensuremath{F_{12}^{(\dot{\gamma})}}\) -model of mode coupling theory. The shear thinning of the viscosity in fluid states and the yielding of glassy states is discussed. At the transition between fluid and shear-molten glass, simple and generalized Herschel-Bulkley laws are derived with power law exponents that can be computed for different particle interactions from the equilibrium structure factor.
Similar content being viewed by others
References
W.B. Russel, D.A. Saville, W.R. Schowalter, Colloidal Dispersions (Cambridge University Press, New York, 1989).
R.G. Larson, The Structure and Rheology of Complex Fluids (Oxford University Press, New York, 1999).
R. Besseling, Eric R. Weeks, A.B. Schofield, W.C. Poon, Phys. Rev. Lett. 99, 028301 (2007).
F. Varnik, L. Bocquet, J.L. Barrat, J. Chem. Phys. 120, 2788 (2004).
F. Varnik, O. Henrich, Phys. Rev. B 73, 174209 (2006).
J. Bender, N.J. Wagner, J. Rheol. 40, 899 (1996).
R. Ganapathy, A.K. Sood, Phys. Rev. Lett. 96, 108301 (2006).
J.J. Crassous, M. Siebenbürger, M. Ballauf, M. Drechsler, D. Hajnal, O. Henrich, M. Fuchs, J. Chem. Phys. 128, 204902 (2008).
G. Petekidis, A. Moussaid, P.N. Pusey, Phys. Rev. E 66, 051402 (2002)
J.J. Crassous, M. Siebenbürger, M. Ballauf, M. Drechsler, O. Henrich, M. Fuchs, J. Chem. Phys. 125, 204906 (2006).
M. Fuchs, M.E. Cates, Phys. Rev. Lett. 89, 248304 (2002)
M. Fuchs, M.E. Cates, J. Phys.: Condens. Matter 17, S1681 (2005).
W. Götze, in Liquids, Freezing and Glass Transition, edited by J.P. Hansen, D. Levesque, J. Zinn-Justin, Session LI (1989) of Les Houches Summer Schools of Theoretical Physics (North-Holland, Amsterdam, 1991) p. 287.
W. Götze, L. Sjögren, Rep. Prog. Phys. 55, 241 (1992).
W. van Megen, S.M. Underwood, Phys. Rev. Lett. 70, 2766 (1993).
W. van Megen, S.M. Underwood, Phys. Rev. E 47, 248 (1993).
W. van Megen, S. Underwood, Phys. Rev. Lett. 72, 1773 (1994).
C. Beck, W. Härtl, R. Hempelmann, J. Chem. Phys. 111, 8209 (1999).
E. Bartsch, T. Eckert, C. Pies, H. Sillescu, J. Non-Cryst. Solids 307--310, 802 (2002).
T. Eckert, E. Bartsch, Faraday Discuss. 123, 51 (2003).
W. Götze, J. Phys.: Condens. Matter 11, A1 (1999).
J.M. Brader, Th. Voigtmann, M.E. Cates, M. Fuchs, Phys. Rev. Lett. 98, 058301 (2007).
J.M. Brader, M.E. Cates, M. Fuchs, to be published in Phys. Rev. Lett. (2008).
M. Fuchs, M.E. Cates, Faraday Discuss. 123, 267 (2003).
M. Fuchs, M. Ballauff, J. Chem. Phys. 122, 094707 (2004).
V. Carrier, G. Petekidis, to be published in J. Rheol. (2008).
D. Hajnal, O. Henrich, J.J. Crassous, M. Siebenbürger, M. Drechsler, M. Ballauf, M. Fuchs, to be published in J. Rheol. (2008).
M. Fuchs, M.E. Cates, J. Phys.: Condens. Matter 15, S401 (2003).
O. Henrich, F. Varnik, M. Fuchs, J. Phys.: Condens. Matter 17, S3625 (2005).
W. Götze, Z. Phys. B 56, 139 (1984).
W. Götze, L. Sjögren, J. Math. Anal. Appl. 195, 230 (1995).
M. Fuchs, W. Götze, I. Hofacker, A. Latz, J. Phys.: Condens. Matter 3, 5047 (1991).
D. Hajnal, Diploma Thesis, Universität Konstanz (2007). www.ub.uni-konstanz.de/kops/volltexte/2007/3800/.
M. Fuchs, W. Götze, S. Hildebrand, A. Latz, J. Phys.: Condens. Matter 4, 7709 (1992).
M. Siebenbürger, M. Fuchs, H. Winter, M. Ballauf, submitted to J. Rheol. (2008).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hajnal, D., Fuchs, M. Flow curves of colloidal dispersions close to the glass transition. Eur. Phys. J. E 28, 125–138 (2009). https://doi.org/10.1140/epje/i2008-10361-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epje/i2008-10361-0