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Macroscopic forces in inhomogeneous polyelectrolyte solutions.

Yury A Budkov1, Nikolai N Kalikin1

  • 1School of Applied Mathematics, HSE University, Tallinskaya st. 34, 123458 Moscow, Russia and G.A. Krestov Institute of Solution Chemistry of the Russian Academy of Sciences, 153045, Akademicheskaya st. 1, Ivanovo, Russia.

Physical Review. E
|March 18, 2023
PubMed
Summary

We developed a theory for flexible polyelectrolyte solutions, revealing how polymer conformation and electrostatics influence macroscopic forces. This helps understand behavior in confined systems like nanopores.

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Area of Science:

  • Soft Matter Physics
  • Polymer Science
  • Electrochemistry

Background:

  • Polyelectrolyte solutions exhibit complex behavior due to electrostatic interactions and polymer chain dynamics.
  • Understanding macroscopic forces in these systems is crucial for applications in nanotechnology and materials science.

Purpose of the Study:

  • To develop a self-consistent field theory for macroscopic forces in spatially inhomogeneous flexible chain polyelectrolyte solutions.
  • To derive an analytical expression for the stress tensor governing these forces.
  • To investigate the behavior of polyelectrolyte solutions confined within conductive slit nanopores.

Main Methods:

  • Development of a self-consistent field theory.
  • Analytical derivation of a stress tensor including hydrostatic, electrostatic (Maxwell), and conformational stress components.
  • Application of the theory to model polyelectrolyte solutions in nanopore confinement.

Main Results:

  • An analytical expression for the stress tensor in flexible chain polyelectrolyte solutions was derived.
  • The theory accounts for hydrostatic, electrostatic, and conformational entropy contributions to stress.
  • Anomalous behavior in disjoining pressure and electric differential capacitance was observed for confined polyelectrolyte solutions.

Conclusions:

  • The developed theory provides a framework for understanding macroscopic forces in inhomogeneous polyelectrolyte solutions.
  • Confinement in nanopores leads to anomalous thermodynamic and electrostatic properties.
  • The findings are relevant for designing and controlling soft materials in confined environments.