Analytical Calculation of Viscosity in Rouse Networks Below Gelation Transition
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916811678679040 |
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| author | Lyu, Bohan Lin, Jie |
| author_facet | Lyu, Bohan Lin, Jie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21399 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analytical Calculation of Viscosity in Rouse Networks Below Gelation Transition Lyu, Bohan Lin, Jie Soft Condensed Matter Chemical Physics 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. |
| title | Analytical Calculation of Viscosity in Rouse Networks Below Gelation Transition |
| topic | Soft Condensed Matter Chemical Physics |
| url | https://arxiv.org/abs/2506.21399 |