The modified Rouse model incorporating supplementary effects: I. Nonlinear modification for chain volume conservation and anisotropic friction
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초록

This study reexamines the constraint for volume conservation of the Rouse chain proposed recently (Kwon 2024). We provide conceivable reasoning for the constraint written in terms of the normal mode amplitude. Formulating the necessary number of constraints is verified to require vanishing correlation between distinct linear combinations of segmental vectors. Considering these observations, we prove that the normal mode amplitude is the only choice appropriate for the constraint. The constitutive equation derived expresses shear thinning with the exponent in the range between-0.4 and-0.6, and therefore approximately matches the experiments. Second, we investigate the anisotropic friction. The anisotropy is modeled by substituting the friction tensor. We decompose the inverse of the friction tensor into reduced, isotropic and accreted friction terms. This implementation enables modeling finite value of N-2 as well as friction reduction. Probable correlation between N-2 and the extensional friction reduction has been also demonstrated.

키워드

Rouse modelVolume conservationAnisotropic frictionShear thinningSecond normal stressELONGATIONAL VISCOSITYINDUCED REDUCTIONSHEAR-FLOWPOLYSTYRENERHEOLOGYMONODISPERSE
제목
The modified Rouse model incorporating supplementary effects: I. Nonlinear modification for chain volume conservation and anisotropic friction
저자
Kwon, Youngdon
DOI
10.1007/s00397-026-01545-y
발행일
2026-02
유형
Article; Early Access
저널명
Rheologica Acta
65
2
페이지
153 ~ 166