Dense colloidal suspensions under time-dependent shear

Brader, Joseph M.; Voigtmann, Thomas; Cates, Michael E.; Fuchs, Matthias

Dense colloidal suspensions under time-dependent shear

Dateien

Dense_colloidal_suspensions_under_time_dependent_shear.pdfGröße: 149.07 KBDownloads: 365

Datum

2007

Autor:innen

Brader, Joseph M.

Voigtmann, Thomas

Cates, Michael E.

Fuchs, Matthias

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Physik
Zukunftskolleg

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Physical Review Letters. 2007, 98, 58301. Available under: doi: 10.1103/PhysRevLett.98.058301

Zusammenfassung

We consider the nonlinear rheology of dense colloidal suspensions under a time-dependent simple shear flow. Starting from the Smoluchowski equation for interacting Brownian particles advected by shearing (ignoring fluctuations in fluid velocity), we develop a formalism which enables the calculation of timedependent, far-from-equilibrium averages. Taking shear stress as an example, we derive exactly a generalized Green-Kubo relation and an equation of motion for the transient density correlator, involving a three-time memory function. Mode coupling approximations give a closed constitutive equation yielding the time-dependent stress for arbitrary shear rate history. We solve this equation numerically for the special case of a hard sphere glass subject to step strain.

Fachgebiet (DDC)

530 Physik

Zitieren

ISO 690

BRADER, Joseph M., Thomas VOIGTMANN, Michael E. CATES, Matthias FUCHS, 2007. Dense colloidal suspensions under time-dependent shear. In: Physical Review Letters. 2007, 98, 58301. Available under: doi: 10.1103/PhysRevLett.98.058301

BibTex

@article{Brader2007Dense-9060,
  year={2007},
  doi={10.1103/PhysRevLett.98.058301},
  title={Dense colloidal suspensions under time-dependent shear},
  volume={98},
  journal={Physical Review Letters},
  author={Brader, Joseph M. and Voigtmann, Thomas and Cates, Michael E. and Fuchs, Matthias},
  note={Article Number: 58301}
}

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