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arXiv 2603.05652cond-mat.softcond-mat.stat-mech
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主动聚合物的物理:通过复合公式进行标度分析

Physics of active polymers: scaling analysis via a compounding formula

Aoyama Gakuin University(青山学院大学);KU Leuven(荷语鲁汶大学)

Takahiro Sakaue, Enrico Carlon

AI总结:

本文提出了一种基于复合公式的标度理论,用于分析主动聚合物中单体的均方位移,揭示了活动性与聚合物连接性的动态机制。

摘要:

主动聚合物系统表现出丰富的非平衡现象,这些现象源于随机力,这些力明确破坏了详平衡。尽管实验和数值研究迅速发展,但分析进展仍然有限。截至目前,理论理解主要依赖于主动Rouse模型的变体,其形式解虽然准确,但往往被Rouse模式的求和所掩盖,因此提供有限的直接物理洞察。在本文中,我们开发了一种透明的标度理论,通过复合公式捕捉主动聚合物中标记单体的均方位移(MSD)。单体在链中的MSD被表达为孤立活性粒子的MSD,通过一个编码张力沿聚合物骨架传播的连接因子进行调节。这种方法将活动性的作用与聚合物连接性的作用分开,并以直观的物理方式揭示了动态的新兴制度。我们通过精确计算测试标度预测,针对广泛的一类通用主动聚合物模型进行测试,这些模型由多样的噪声统计驱动。一致性的展示证明了标度框架在微观细节上的鲁棒性。我们的结果提供了一个简单且可扩展的理论结构,可以应用于复杂且解析上不可行的主动聚合物系统,从而为非平衡聚合物动力学提供一个统一的视角。

英文摘要:

Active polymeric systems exhibit a rich spectrum of non-equilibrium phenomena arising from stochastic forces that explicitly break detailed balance. Despite the rapid growth of experimental and numerical studies, analytical progress remains limited. To date, theoretical understanding relies largely on variants of the active Rouse model, whose formal solutions, though exact, are often obscured by summations over Rouse modes and therefore provide limited direct physical insight. In this work, we develop a transparent scaling theory that captures the tagged-monomer mean-squared displacement (MSD) in active polymers through a compounding formula: the MSD of a monomer in the chain is expressed as that of an isolated active particle, modulated by a connectivity factor encoding tension propagation along the polymer backbone. This approach isolates the role of activity from that of polymer connectivity and reveals the emergent dynamical regimes in a physically intuitive manner. We test the scaling predictions against exact calculations for a broad class of generalized active polymer models driven by diverse noise statistics. The agreement demonstrates the robustness of the scaling framework across microscopic details. Our results provide a simple and extensible theoretical structure that can be applied to complex and analytically intractable active polymer systems, thereby offering a unifying perspective on non-equilibrium polymer dynamics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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