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Swelling of pH-sensitive hydrogels.

A D Drozdov^1,2, J deClaville Christiansen²

¹Center for Plastics Technology, Danish Technological Institute, Gregersensvej 7, DK-2630 Taastrup, Denmark.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 14, 2015

Summary

This study models polyelectrolyte gel swelling, revealing that electrostatic repulsion of bound charges drives gel expansion, not ionic pressure. This provides insights into the behavior of responsive polymer networks.

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Area of Science:

Polymer Science
Physical Chemistry
Materials Science

Background:

Polyelectrolyte gels exhibit complex swelling behavior influenced by internal and external factors.
Understanding the driving forces behind gel swelling is crucial for designing advanced materials.
Existing models often simplify the interplay between network elasticity, ion transport, and chemical reactions.

Purpose of the Study:

To develop a comprehensive model for the elastic response of polyelectrolyte gels during swelling.
To elucidate the primary mechanisms governing both unconstrained and constrained swelling.
To investigate the relative contributions of electrostatic forces and ionic pressure to gel expansion.

Main Methods:

A three-phase model treating the gel as a polymer network, solvent, and mobile ions.
Modeling diffusion of solvent and solutes influenced by electric fields and chemical reactions.
Derivation of constitutive equations using the free energy imbalance inequality, incorporating van't Hoff and Henderson-Hasselbach relationships.

Main Results:

The derived model accurately predicts equilibrium swelling diagrams for pH-sensitive gels.
Electrostatic repulsion between bound charges is identified as the dominant force driving polyelectrolyte gel swelling.
The contribution of ionic pressure to swelling is found to be of secondary importance.

Conclusions:

The developed model provides a robust framework for analyzing polyelectrolyte gel swelling.
Electrostatic interactions are the primary determinant of gel expansion, overriding ionic pressure effects.
This research offers valuable insights for the design and application of stimuli-responsive polymer gels.