We extend the single-chain slip-spring model developed by Likhtman [Macromolecules 38, 6128 (2005)] to describe the dynamics and rheology of entangled polymers to wormlike micellar solutions by incorporating chain breakage and rejoining, which are the key additional dynamics present in wormlike micellar solutions. We show that the linear rheological properties obtained from this micelle slip-spring model are in good agreement with mesoscopic simulations using the “pointer algorithm” [W. Zou and R. G. Larson, J. Rheol. 58, 681 (2014)] and can be fit to experimental results after an adjustment to correct for the too-high flexibility of the micelles assumed in the slip-spring model. Finally, we use this model to predict the nonlinear rheological properties of entangled wormlike micelles, which are the first predictions that include the effects of entanglements, breakage and rejoining, Rouse modes, and stretch of bead-spring micellar chains with Hookean springs.

中文翻译：

---

用于预测缠结蠕虫状胶束溶液的线性和非线性流变学的滑动弹簧模拟模型

我们扩展了由 Likhtman [Macromolecules 38, 6128 (2005)] 开发的单链滑动弹簧模型，通过结合链断裂和重新连接，将缠结聚合物的动力学和流变学描述为蠕虫状胶束溶液，这是存在于蠕虫状胶束溶液。我们表明，从该胶束滑动弹簧模型获得的线性流变特性与使用“指针算法”[W. Zou 和 RG Larson, J. Rheol。58, 681 (2014)] 并且可以在调整以校正滑动弹簧模型中假设的胶束的过高柔韧性后适合实验结果。最后，我们使用该模型来预测纠缠的蠕虫状胶束的非线性流变特性，