Spherical Confinement Generates Entropic Force to Accelerate Polymer Chain Detachment

Yu-Shan Zheng; Jian-Ping Zhou; Yan Xu; Kai Li

doi:10.1007/s10118-023-3049-5

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Spherical Confinement Generates Entropic Force to Accelerate Polymer Chain Detachment

RESEARCH ARTICLE | Updated：2024-02-20

- Spherical Confinement Generates Entropic Force to Accelerate Polymer Chain Detachment
- Chinese Journal of Polymer Science Vol. 42, Issue 3, Pages: 407-416(2024)
- Affiliations：
  
  Mechanical Engineering, Xinjiang University, Urumqi 830002, China
- Author bio：
  
  lilixiu_z@163.com (Y.X.)
  likai@xju.edu.cn (K.L.)
- Funds：
- DOI：10.1007/s10118-023-3049-5
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Zheng, Y. S.; Zhou, J. P.; Xu, Y.; Li, K. Spherical confinement generates entropic force to accelerate polymer chain detachment. Chinese J. Polym. Sci. 2024, 42, 407–416

Yu-Shan Zheng, Jian-Ping Zhou, Yan Xu, et al. Spherical Confinement Generates Entropic Force to Accelerate Polymer Chain Detachment. [J]. Chinese Journal of Polymer Science 42(3):407-416(2024)
Zheng, Y. S.; Zhou, J. P.; Xu, Y.; Li, K. Spherical confinement generates entropic force to accelerate polymer chain detachment. Chinese J. Polym. Sci. 2024, 42, 407–416 DOI： 10.1007/s10118-023-3049-5.

Yu-Shan Zheng, Jian-Ping Zhou, Yan Xu, et al. Spherical Confinement Generates Entropic Force to Accelerate Polymer Chain Detachment. [J]. Chinese Journal of Polymer Science 42(3):407-416(2024) DOI： 10.1007/s10118-023-3049-5.

摘要

Brief summary: We present a theoretical analysis of the mean detachment time of a specific link under spherical confinement using the MFPT technique and demonstrate that spherical confinement leads to a reduction in the conformational entropy of polymers, resulting in entropic forces that accelerate the detachment of polymers from confinement surfaces.

Abstract

To understand the dynamic process of polymer detachment, it is necessary to determine the mean detachment time of a single breakable link, which is modeled as a spring. Normally, this time can be viewed as the escape of a Brownian particle from the potential well of the spring. However, as the free dangling length of the polymer chain increases, the conformational entropy of the chain is affected by geometric confinement. It means that the wall exerts a repulsive force on the chain, resulting in accelerated link detachment from a macroscopic perspective. In this work, we investigate the effect of entropy on the detachment rate in the case where the substrate is spherical. We demonstrate that spherical confinement accelerates chain detachment both inside and outside the sphere. An analytical expression for the mean detachment time of breakable links is given, which includes an additional pre-factor that is related to the partition function. Additionally, we analyze the expressions for entropic forces inside the sphere, outside the sphere, and on a flat wall, comparing their magnitudes to explain the difference in mean detachment time.

关键词

Keywords

Polymer detachmentBreakable linkEntropic forceMean first passage time

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