Analytical Calculation of Viscosity in Rouse Networks Below Gelation Transition
Soft Condensed Matter
2025-06-27 v1 Chemical Physics
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.
Keywords
Cite
@article{arxiv.2506.21399,
title = {Analytical Calculation of Viscosity in Rouse Networks Below Gelation Transition},
author = {Bohan Lyu and Jie Lin},
journal= {arXiv preprint arXiv:2506.21399},
year = {2025}
}