

FOLLOWUS
a.School of Physics, Zhejiang University, Hangzhou 310027, China
b.Department of Physics, Jiangxi Agricultural University, Nanchang 330045, China
c.College of Electronics and Information Engineering, Shanghai University of Electric Power, Shanghai 200090, China
ke.li@shiep.edu.cn (K.L.)
lxzhang@zju.edu.cn (L.X.Z.)
Received:24 December 2024,
Revised:2025-01-23,
Accepted:31 January 2025,
Online First:11 March 2025,
Published:30 April 2025
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Wu, J. X.; Yang, Z. Y.; Li, K.; Zhang, L. X. Salt effects on sliding dynamics of charged ring on diblock polyelectrolyte chain in catenane. Chinese J. Polym. Sci. 2025, 43, 837–847
Jia-Xin Wu, Zhi-Yong Yang, Ke Li, et al. Salt Effects on Sliding Dynamics of Charged Ring on Diblock Polyelectrolyte Chain in Catenane[J]. Chinese Journal of Polymer Science, 2025, 43(5): 837-847.
Wu, J. X.; Yang, Z. Y.; Li, K.; Zhang, L. X. Salt effects on sliding dynamics of charged ring on diblock polyelectrolyte chain in catenane. Chinese J. Polym. Sci. 2025, 43, 837–847 DOI: 10.1007/s10118-025-3311-0.
Jia-Xin Wu, Zhi-Yong Yang, Ke Li, et al. Salt Effects on Sliding Dynamics of Charged Ring on Diblock Polyelectrolyte Chain in Catenane[J]. Chinese Journal of Polymer Science, 2025, 43(5): 837-847. DOI: 10.1007/s10118-025-3311-0.
The sliding dynamics of charged ring relies strongly on the electrostatic interaction strengths
A
the salt concentrati
c
s
on and valence of cation. And the dependence of the sliding diffusion coefficient
D
of ring on
A
in the divalent salt solution is different from that in the monovalent salt solution.
Molecular dynamics simulations were performed to investigate the sliding dynamics of a small charged ring chain along rigid cyclic diblock polyelectrolyte in catenane immersed in salt solution. We found that both the mean-square displacement
$$ {g}_{3} \left(t\right) $$
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and diffusion coefficient
D
of ring are influenced by the salt type
electrostatic interaction strength
A
and salt concentration
$$ {c}_{{\mathrm{s}}} $$
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.
$$ D $$
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first decreases and then increases as
$$ A $$
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increases when
$$ A $$
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is not large. At large
$$ A $$
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$$ D $$
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decreases with an increase in
$$ A $$
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owing to the polyelectrolyte charge reversal caused by the aggregation of ions near it. Meanwhile
$$ {g}_{3} \left(t\right) $$
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exhibited intermediate oscillating behavior at moderate
$$ A $$
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in monovalent cation salt solution. The sliding dynamics of ring can be attributed to the free energy landscape for diffusion. According to the potential of mean force (PMF) of ring chain
we found that our simulation results agreed well with the theoretical results of Lifson-Jackson formula. This study can provide a practical model for the diffusion of charged particles in different dielectric and periodic media
and provides a new perspective for regulating the sliding dynamics of mechanically interlocked molecules in electrolyte solutions.
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