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<p>Polyelectrolyte (PE) gels are widely used in fields ranging from controlled drug delivery to tissue engineering, owing to their stimuli-responsive swelling behavior. The electrostatic interactions within the gels play a crucial role in the physical mechanisms underlying this response. In this work, we investigate the salt-dependent swelling behavior and shear modulus of PE gels based on a cell model, which explicitly addresses the inter-monomer electrostatic interactions. Through free energy minimization and asymptotic analysis, we derive four distinct scaling regimes for the equilibrium swelling ratio and modulus as functions of salt concentration, covering both overlapping and non-overlapping electric double layers. Comparisons between polyelectrolyte gels with different cross-link densities and charge intensities are also presented.</p>

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Influence of Salt on Swelling and Modulus of Polyelectrolyte Gels

  • 期刊论文

  • 发表日期：

    2026年5月30日

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  • Yi-Ming Liu,
  • Jia-Dong Chen,
  • Xian-Zhao Huang,
  • Zhi-Xing Zhang,
  • Guang Chen

摘要

Polyelectrolyte (PE) gels are widely used in fields ranging from controlled drug delivery to tissue engineering, owing to their stimuli-responsive swelling behavior. The electrostatic interactions within the gels play a crucial role in the physical mechanisms underlying this response. In this work, we investigate the salt-dependent swelling behavior and shear modulus of PE gels based on a cell model, which explicitly addresses the inter-monomer electrostatic interactions. Through free energy minimization and asymptotic analysis, we derive four distinct scaling regimes for the equilibrium swelling ratio and modulus as functions of salt concentration, covering both overlapping and non-overlapping electric double layers. Comparisons between polyelectrolyte gels with different cross-link densities and charge intensities are also presented.