Viscoelasticity reshapes the frequency response of a rotating magnetic particle
Abstract
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.
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BibTeX
@misc{zhao2026viscoelasticity,
title = {{Viscoelasticity reshapes the frequency response of a rotating magnetic particle}},
author = {Zhiyuan Zhao and Tingting Sun and Han Gao and Ye Xu and Mingcheng Yang and Masao Doi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.08202},
eprint = {2609.08202},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08202},
}
RIS
TY - UNPB
TI - Viscoelasticity reshapes the frequency response of a rotating magnetic particle
AU - Zhiyuan Zhao
AU - Tingting Sun
AU - Han Gao
AU - Ye Xu
AU - Mingcheng Yang
AU - Masao Doi
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.08202
UR - https://arxiv.org/abs/2609.08202
AB - 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.
ER -