Orientational origin of nonlinear shear rheology in unentangled polymer melts
Abstract
Universal rheological properties of unentangled polymer melts are investigated through the stretch-orientation decomposition of polymer dynamics. By externalizing stretch from the explicit state of each Rouse mode, we construct a constitutive model with orientational kinetics that preserves the Rouse relaxation spectrum. The resulting model yields the observed steady-shear scalings of the shear viscosity and first normal-stress coefficient, predicts a finite second normal-stress coefficient, and approximately reproduces the Cox-Merz and Gleissle-Osaki rules. The derived steady-oscillatory shear correspondence further identifies an elastic contribution, associated with the first normal stress difference, that is absent from the conventional Cox-Merz rule.
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BibTeX
@misc{miyamoto2026orientational,
title = {{Orientational origin of nonlinear shear rheology in unentangled polymer melts}},
author = {Souta Miyamoto and Takeshi Sato and John J. Molina and Takashi Taniguchi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.02884},
eprint = {2610.02884},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.02884},
}
RIS
TY - UNPB
TI - Orientational origin of nonlinear shear rheology in unentangled polymer melts
AU - Souta Miyamoto
AU - Takeshi Sato
AU - John J. Molina
AU - Takashi Taniguchi
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.02884
UR - https://arxiv.org/abs/2610.02884
AB - Universal rheological properties of unentangled polymer melts are investigated through the stretch-orientation decomposition of polymer dynamics. By externalizing stretch from the explicit state of each Rouse mode, we construct a constitutive model with orientational kinetics that preserves the Rouse relaxation spectrum. The resulting model yields the observed steady-shear scalings of the shear viscosity and first normal-stress coefficient, predicts a finite second normal-stress coefficient, and approximately reproduces the Cox-Merz and Gleissle-Osaki rules. The derived steady-oscillatory shear correspondence further identifies an elastic contribution, associated with the first normal stress difference, that is absent from the conventional Cox-Merz rule.
ER -