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Coupled flow-polymer dynamics via statistical field theory: modeling and computation

Summary: Coupled flow-polymer dynamics via statistical
field theory: modeling and computation
Hector D. Ceniceros 1
Glenn H. Fredrickson 2
George O. Mohler 3,
Field-theoretic models, which replace interactions between polymers with interac-
tions between polymers and one or more conjugate fields, offer a systematic frame-
work for coarse-graining of complex fluids systems. While this approach has been
used successfully to investigate a wide range of polymer formulations at equilibrium,
field-theoretic models often fail to accurately capture the non-equilibrium behavior
of polymers, especially in the early stages of phase separation. Here the "two-fluid"
approach serves as a useful alternative, treating the motions of fluid components
separately in order to incorporate asymmetries between polymer molecules. In this
work we focus on the connection of these two theories, drawing upon the strengths
of each of the approaches in order to couple polymer microstructure with the dy-
namics of the flow in a systematic way. For illustrative purposes we work with an
inhomogeneous melt of elastic dumbbell polymers, though our methodology will
apply more generally to a wide variety of inhomogeneous systems. First we derive
the model, incorporating thermodynamic forces into a two-fluid model for the flow


Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara


Collections: Mathematics