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Dynamic charge-density correlation function in weakly charged polyampholyte globules.

H Jan Angerman1, E Shakhnovich

  • 1Department of Polymer Chemistry, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 3, 2001
PubMed
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Solutions of charged polymers (polyampholytes) phase separate. In the precipitate, charge fluctuations relax via a power law, differing from neutral polymer solutions.

Area of Science:

  • Polymer physics
  • Soft matter physics
  • Statistical mechanics

Background:

  • Polyampholyte solutions with many neutral monomers phase separate even in good solvents.
  • The precipitate formed is semidilute for weakly charged chains.
  • Understanding the dynamics within the precipitate is crucial.

Purpose of the Study:

  • To calculate the dynamic charge density correlation function in polyampholyte precipitates.
  • To investigate the relaxation dynamics of charge fluctuations.
  • To compare these dynamics with neutral polymer solutions.

Main Methods:

  • Utilized the quadratic approximation to the Martin-Siggia-Rose generating functional.
  • Calculated the dynamic charge density correlation function g(k,t).

Related Experiment Videos

  • Expressed results using dimensionless variables (q, s) for wave vector and time.

    • Main Results:

    • Derived a power-law relaxation for charge density fluctuations: g(q,s) ~ q^2 * s^(-1/2) in the regime q<1 and 1
    • This relaxation behavior is distinct from that observed in neutral semidilute polymer solutions.
    • The findings are expected to be valid for wave vectors q>0.1, excluding entanglement effects.

    Conclusions:

    • Charge density fluctuations in polyampholyte precipitates exhibit unique power-law relaxation dynamics.
    • These dynamics are fundamentally different from those in neutral polymer solutions.
    • The study provides insights into the complex behavior of charged polymer solutions under phase separation.