Journal article

First-principles constitutive equation for suspension rheology

  • Brader, Joseph M. Fachbereich Physik, Universität Konstanz, Germany - Department of Physics, University of Fribourg, Switzerland.
  • Cates, M. E. SUPA, School of Physics, The University of Edinburgh, United Kingdom
  • Fuchs, M. Fachbereich Physik, Universität Konstanz, Germany
Published in:
  • Physical Review E - Statistical, Non Linear and Soft Matter Physics. - 2012, vol. 86, no. 02, p. 021403
English We provide a detailed derivation of a recently developed first-principles approach to calculating averages in systems of interacting, spherical Brownian particles under time-dependent flow. Although we restrict ourselves to flows which are both homogeneous and incompressible, the time dependence and geometry (e.g., shear and extension) are arbitrary. The approximations formulated within mode-coupling theory are particularly suited to dense colloidal suspensions and capture the slow relaxation arising from particle interactions and the resulting glass transition to an amorphous solid. The delicate interplay between slow structural relaxation and time-dependent external flow in colloidal suspensions thus may be studied within a fully tensorial theory.
Faculté des sciences et de médecine
Département de Physique
  • English
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