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Aggregation dynamics of rigid polyelectrolytes.

Anvy Moly Tom1, R Rajesh1, Satyavani Vemparala1

  • 1The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India.

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Similarly charged polyelectrolytes aggregate into bundles above a critical charge density. Their aggregation dynamics are diffusion-limited, with the number of aggregates decreasing over time, independent of polymer or counterion properties.

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Area of Science:

  • Polymer Physics
  • Soft Matter Science
  • Computational Chemistry

Background:

  • Similarly charged polyelectrolytes typically repel each other.
  • Above a critical charge density, they attract and aggregate.
  • Aggregation is influenced by polymer charge density and counterion valency.

Purpose of the Study:

  • Investigate the aggregation dynamics of rigid polyelectrolytes.
  • Determine the effect of charge density on aggregate morphology.
  • Analyze the kinetics of aggregation using molecular dynamics simulations.

Main Methods:

  • Large-scale molecular dynamics simulations.
  • Analysis of aggregate morphology and size distribution.
  • Modeling aggregation using the Smoluchowski coagulation equation.

Main Results:

  • Aggregate morphology transitions from cylindrical to elongated with increasing charge density.
  • The number of aggregates decreases over time following power laws.
  • Aggregation exponents are independent of charge density, counterion valency, and polymer characteristics.

Conclusions:

  • Counterion condensation leads to short-ranged effective interactions between polyelectrolytes.
  • Polyelectrolyte aggregation is primarily diffusion-limited.
  • The observed power-law decay in aggregate numbers is consistent with Smoluchowski coagulation theory.