Analytical Calculation of Viscosity in Rouse Networks Below Gelation Transition

Bohan Lyu; Jie Lin

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arXiv · 2506.21399

Analytical Calculation of Viscosity in Rouse Networks Below Gelation Transition

Bohan Lyu·Jie Lin

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Abstract

This work establishes an exact relationship between the zero-shear viscosity and the radius of gyration for generalized Rouse model with arbitrary network configurations. Building on this fundamental relationship, we develop a random graph approach to derive analytical expressions for network viscosity in mean-field connected systems through coarse-grained graph viscosity relations. The theory fully characterizes the subcritical regime, determining precise asymptotic behavior in both dilute and pre-gelation limits.

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Bohan Lyu, Jie Lin. 2025-06-26. Analytical Calculation of Viscosity in Rouse Networks Below Gelation Transition. https://arxiv.org/abs/2506.21399

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