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@ARTICLE{Briels:17823,
      author       = {Briels, W.J. and Vlassopoulos, D. and Kang, K. and Dhont,
                      J.K.G.},
      title        = {{C}onstitutive equations for the flow behavior of entangled
                      polymeric systems: {A}pplication to star polymers},
      journal      = {The journal of chemical physics},
      volume       = {134},
      issn         = {0021-9606},
      address      = {Melville, NY},
      publisher    = {American Institute of Physics},
      reportid     = {PreJuSER-17823},
      pages        = {124901},
      year         = {2011},
      note         = {We are grateful to J. Roovers for providing the star
                      polymers used and to E. Stiakakis for assistance with
                      characterization. This work was supported in part by the EU,
                      NoE Soft-Comp (Grant No. NMP3-CT-2004-502235) and FP7
                      NanoDirect (Contract No. CP-FP-213948-2).},
      abstract     = {A semimicroscopic derivation is presented of equations of
                      motion for the density and the flow velocity of concentrated
                      systems of entangled polymers. The essential ingredient is
                      the transient force that results from perturbations of
                      overlapping polymers due to flow. A Smoluchowski equation is
                      derived that includes these transient forces. From this, an
                      equation of motion for the polymer number density is
                      obtained, in which body forces couple the evolution of the
                      polymer density to the local velocity field. Using a
                      semimicroscopic Ansatz for the dynamics of the number of
                      entanglements between overlapping polymers, and for the
                      perturbations of the pair-correlation function due to flow,
                      body forces are calculated for nonuniform systems where the
                      density as well as the shear rate varies with position.
                      Explicit expressions are derived for the shear viscosity and
                      normal forces, as well as for nonlocal contributions to the
                      body force, such as the shear-curvature viscosity. A
                      contribution to the equation of motion for the density is
                      found that describes mass transport due to spatial variation
                      of the shear rate. The two coupled equations of motion for
                      the density and flow velocity predict flow instabilities
                      that will be discussed in more detail in a forthcoming
                      publication.},
      keywords     = {Hydrodynamics / Models, Chemical / Motion / Polymers:
                      chemistry / Viscosity / Polymers (NLM Chemicals) / J
                      (WoSType)},
      cin          = {ICS-3},
      ddc          = {540},
      cid          = {I:(DE-Juel1)ICS-3-20110106},
      pnm          = {BioSoft: Makromolekulare Systeme und biologische
                      Informationsverarbeitung},
      pid          = {G:(DE-Juel1)FUEK505},
      shelfmark    = {Physics, Atomic, Molecular $\&$ Chemical},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:21456697},
      UT           = {WOS:000289151400064},
      doi          = {10.1063/1.3560616},
      url          = {https://juser.fz-juelich.de/record/17823},
}