Integration through transients for Brownian particles under steady shear

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2005
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Cates, Michael E.
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Journal of Physics / Condensed Matter. 2005, 17(20), pp. S1681-S1696. Available under: doi: 10.1088/0953-8984/17/20/003
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Starting fromthemicroscopic Smoluchowski equation for interactingBrownian particles under stationary shearing, exact expressions for shear-dependent steady-state averages, correlation and structure functions, and susceptibilities are obtained, which take the form of generalized Green Kubo relations. They require integration of transient dynamics. Equations of motion with memory effects for transient density fluctuation functions are derived from the same microscopic starting point. We argue that the derived formal expressions provide useful starting points for approximations in order to describe the stationary non-equilibrium state of steadily sheared dense colloidal dispersions.

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ISO 690FUCHS, Matthias, Michael E. CATES, 2005. Integration through transients for Brownian particles under steady shear. In: Journal of Physics / Condensed Matter. 2005, 17(20), pp. S1681-S1696. Available under: doi: 10.1088/0953-8984/17/20/003
BibTex
@article{Fuchs2005Integ-5019,
  year={2005},
  doi={10.1088/0953-8984/17/20/003},
  title={Integration through transients for Brownian particles under steady shear},
  number={20},
  volume={17},
  journal={Journal of Physics / Condensed Matter},
  pages={S1681--S1696},
  author={Fuchs, Matthias and Cates, Michael E.}
}
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