活聚合物线性流变学的新数值方法

Claire Love, Joseph D. Peterson
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引用次数: 1

摘要

过去三十年来,蠕虫状胶束等活聚合物引起了实验和理论界的极大兴趣,但描述可逆裂解和应力松弛联合过程的微分积分方程直到最近才被提出,而且尚未得到解决。在此,我们介绍一种数值方法,与其他方法相比,该方法简单、稳定、准确、灵活、快速。在验证了该方法及其预测结果后,我们初步讨论了在对同一问题进行建模时,一种流行的随机方法中以前未量化的不确定性来源。
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A new numerical method for linear rheology of living polymers
Living polymers such as wormlike micelles have attracted considerable experimental and theoretical interest over the past three decades, but the differential-integral equations that describe the joint processes of reversible scission and stress relaxation were only recently developed and have not yet been solved. Here, we introduce a numerical method that is simple, stable, accurate, flexible, and fast compared to alternatives. After validating the method and its predictions, we provide a preliminary discussion on previously unquantified sources of uncertainty in a popular stochastic approach to modeling the same problem.
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