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@ARTICLE{Metri:860416,
      author       = {Metri, Vishal and Briels, Willem},
      title        = {{B}rownian dynamics investigation of the {B}oltzmann
                      superposition principle for orthogonal superposition
                      rheology},
      journal      = {The journal of chemical physics},
      volume       = {150},
      number       = {1},
      issn         = {1089-7690},
      address      = {Melville, NY},
      publisher    = {American Institute of Physics},
      reportid     = {FZJ-2019-01186},
      pages        = {014903 -},
      year         = {2019},
      abstract     = {The most general linear equation describing the stress
                      response at time t to a time-dependent shearing perturbation
                      may be written as the integral over the past history t′ of
                      a time dependent relaxation modulus, depending on t −
                      t′, multiplied by the perturbing shear rate at time t′.
                      This is in agreement with the Boltzmann superposition
                      principle, which says that the stress response of a system
                      to a time dependent shearing deformation may be written as
                      the sum of responses to a sequence of step-strain
                      perturbations in the past. In equilibrium rheology, the
                      Boltzmann superposition principle gives rise to the equality
                      of the shear relaxation modulus, obtained from oscillatory
                      experiments, and the stress relaxation modulus measured
                      after a step-strain perturbation. In this paper, we describe
                      the results of Brownian dynamics simulations of a simple
                      soft matter system showing that the same conclusion does not
                      hold when the system is steadily sheared in a direction
                      perpendicular to the probing flows, and with a gradient
                      parallel to that of the probing deformations, as in
                      orthogonal superposition rheology. In fact, we find that the
                      oscillatory relaxation modulus differs from the step-strain
                      modulus even for the smallest orthogonal shear flows that we
                      could simulate. We do find, however, that the initial or
                      plateau levels of both methods agree and provide an equation
                      relating the plateau value to the perturbation of the
                      pair-function.},
      cin          = {ICS-3},
      ddc          = {530},
      cid          = {I:(DE-Juel1)ICS-3-20110106},
      pnm          = {551 - Functional Macromolecules and Complexes (POF3-551)},
      pid          = {G:(DE-HGF)POF3-551},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:30621405},
      UT           = {WOS:000455350900023},
      doi          = {10.1063/1.5080333},
      url          = {https://juser.fz-juelich.de/record/860416},
}