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@ARTICLE{Jin:172675,
      author       = {Jin, Howon and Kang, Kyongok and Ahn, Kyung Hyun and Dhont,
                      Jan K.G.},
      title        = {{F}low instability due to coupling of shear-gradients with
                      concentration: non-uniform flow of (hard-sphere) glasses},
      journal      = {Soft matter},
      volume       = {10},
      number       = {47},
      issn         = {1744-683X},
      address      = {London},
      publisher    = {Royal Soc. of Chemistry},
      reportid     = {FZJ-2014-06127},
      pages        = {9470 - 9485},
      year         = {2014},
      abstract     = {Flow-induced instabilities that lead to non-uniform
                      stationary flow profiles have been observed in many
                      different soft-matter systems. Two types of instabilities
                      that lead to banded stationary states have been identified,
                      which are commonly referred to as gradient- and
                      vorticity-banding. The molecular origin of these
                      instabilities is reasonably well understood. A third type of
                      instability that has been proposed phenomenologically
                      [Europhys. Lett., 1986, 2, 129 and Phys. Rev. E, 1995, 52,
                      4009] is largely unexplored. Essential to this
                      “Shear-gradient Concentration Coupling” (SCC-)
                      instability is a mass flux that is induced by spatial
                      gradients of the shear rate. A possible reason that this
                      instability has essentially been ignored is that the
                      molecular origin of the postulated mass flux is not clear,
                      and no explicit expressions for the shear-rate and
                      concentration dependence of the corresponding transport
                      coefficient exist. It is therefore not yet known what types
                      of flow velocity- and concentration-profiles this
                      instability gives rise to. In this paper, an expression for
                      the transport coefficient corresponding to the
                      shear-gradient induced mass flux is derived in terms of the
                      shear-rate dependent pair-correlation function, and Brownian
                      dynamics simulations for hard-spheres are presented that
                      specify the shear-rate and concentration dependence of the
                      pair-correlation function. This allows to explicitly
                      formulate the coupled advection–diffusion equation and an
                      equation of motion for the suspension flow velocity. The
                      inclusion of a non-local contribution to the stress turns
                      out to be essential to describe the SCC-banding transition.
                      The coupled equations of motion are solved numerically, and
                      flow- and concentration-profiles are discussed. It is shown
                      that the SCC-instability occurs within the glass state at
                      sufficiently small shear rates, leading to a banded
                      flow-profile where one of the bands is non-flowing.},
      cin          = {ICS-3},
      ddc          = {530},
      cid          = {I:(DE-Juel1)ICS-3-20110106},
      pnm          = {451 - Soft Matter Composites (POF2-451)},
      pid          = {G:(DE-HGF)POF2-451},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000345090400010},
      doi          = {10.1039/C4SM01329H},
      url          = {https://juser.fz-juelich.de/record/172675},
}