First-principles constitutive equation for suspension rheology

Brader, Joseph M.; Cates, Mike E.; Fuchs, Matthias

First-principles constitutive equation for suspension rheology

Files

Brader_227128.pdf(271.4 KB)

Date

2012

Authors

Brader, Joseph M.

Cates, Mike E.

Fuchs, Matthias

Publication type

Journal article

Published in

Physical Review E ; 86 (2012), 2. - ISSN 1539-3755. - eISSN 1550-2376

Abstract

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.

Subject (DDC)

530 Physics

Cite This

ISO 690

BRADER, Joseph M., Mike E. CATES, Matthias FUCHS, 2012. First-principles constitutive equation for suspension rheology. In: Physical Review E. 86(2). ISSN 1539-3755. eISSN 1550-2376. Available under: doi: 10.1103/PhysRevE.86.021403

BibTex

@article{Brader2012First-22712,
  year={2012},
  doi={10.1103/PhysRevE.86.021403},
  title={First-principles constitutive equation for suspension rheology},
  number={2},
  volume={86},
  issn={1539-3755},
  journal={Physical Review E},
  author={Brader, Joseph M. and Cates, Mike E. and Fuchs, Matthias}
}

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Yes