标题： Rouse网络在凝胶转变以下的粘度解析计算 显示英文标题

标题： Analytical Calculation of Viscosity in Rouse Networks Below Gelation Transition

摘要： 这项工作建立了广义Rouse模型在任意网络构型下零剪切粘度与回转半径之间的精确关系。 在此基本关系的基础上，我们开发了一种随机图方法，通过粗粒度图粘度关系推导出平均场连接系统中网络粘度的解析表达式。 该理论完全表征了亚临界区域，在稀释和凝胶前极限情况下确定了精确的渐近行为。 显示英文摘要

摘要： 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.