Anisotropic Mobility Model for Polymers under Shear and its Linear Response Functions

TL;DR

This paper introduces a simple anisotropic mobility model for polymers under shear, enabling calculation of key rheological response functions and showing qualitative agreement with experimental data.

Contribution

The paper presents a novel anisotropic mobility tensor model for polymers under shear, integrating recent linear response theories to predict rheological behaviors.

Findings

Model reproduces shear viscosity and response functions qualitatively.

Results align with experimental observations.

Compared favorably with existing models like the convective constraint release model.

Abstract

We propose a simple dynamic model of polymers under shear with an anisotropic mobility tensor. We calculate the shear viscosity, the rheo-dielectric response function, and the parallel relaxation modulus under shear flow deduced from our model. We utilize recently developed linear response theories for nonequilibrium systems to calculate linear response functions. Our results are qualitatively consistent with experimental results. We show that our anisotropic mobility model can reproduce essential dynamical nature of polymers under shear qualitatively. We compare our model with other models or theories such as the convective constraint release model or nonequilibrium linear response theories.