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粘弹性重塑旋转磁性粒子的频率响应

Viscoelasticity reshapes the frequency response of a rotating magnetic particle

Zhiyuan Zhao, Tingting Sun, Han Gao, Ye Xu, Mingcheng Yang, Masao Doi

arXiv 2609.08202首次发表:更新:

发表机构

Zhejiang University of Science and Technology; Hangzhou International Innovation Institute, Beihang University; School of Mechanical Engineering and Automation, Beihang University; Institute of Physics, Chinese Academy of Sciences; University of Chinese Academy of Sciences; Wenzhou Institute, University of Chinese Academy of Sciences(浙江科技学院; 北京航空航天大学杭州国际创新学院; 北京航空航天大学机械与电气工程学院; 中国科学院物理研究所; 中国科学院大学; 中国科学院大学温州研究院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文通过理论分析,揭示了粘弹性流体中磁性粒子异步旋转的频率响应随聚合物松弛时间从非单调变为单调,并阐明了磁驱动、粘弹性松弛与粘性耗散的相互作用机制。

AI 中文摘要

由旋转磁场驱动的磁性粒子在临界驱动频率下经历从同步旋转到异步旋转的转变。异步动力学在牛顿流体中已被充分理解,但在粘弹性介质中仍不清楚。在此,我们发展了Jeffreys型粘弹性流体中磁性粒子异步旋转的理论描述。粒子的时间平均角速度表现出非平凡的频率依赖性,随着聚合物松弛时间的增加,这种依赖性从非单调变为单调。该行为可通过磁驱动、粘弹性松弛和频率依赖性粘性耗散之间的相互作用来解释。我们进一步推导了一个渐近表达式,以捕捉非单调依赖性。这些结果阐明了溶剂和聚合物贡献如何共同控制异步旋转,并为指导复杂流体中的相关应用提供了物理基础。

英文摘要

A magnetic particle driven by a rotating magnetic field undergoes a transition from synchronous to asynchronous rotation at a critical driving frequency. The asynchronous dynamics is well understood in Newtonian fluids but remains unclear in viscoelastic media. Here, we develop a theoretical description of the asynchronous rotation of a magnetic particle in a Jeffreys-type viscoelastic fluid. The particle's time-averaged angular velocity exhibits a nontrivial frequency dependence that changes from non-monotonic to monotonic as the polymer relaxation time increases. This behavior is explained by the interplay among magnetic driving, viscoelastic relaxation, and frequency-dependent viscous dissipation. We further derive an asymptotic expression that captures the non-monotonic dependence. These results clarify how solvent and polymer contributions jointly control asynchronous rotation and provide a physical basis for guiding relevant applications in complex fluids.

论文原文

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