2025/06/26 by Lyu, Bohan, Lin Jie, Lin, Jie
Engineering · Chemical Engineering · #Granular flow and fluidized beds #Rheology and Fluid Dynamics Studies
paper · pdf · doi:10.48550/arxiv.2506.21399
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.