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Conformations of random polyampholytes

Yamakov1, Milchev, Jorg Limbach H

  • 1Max-Planck-Institut fur Polymerforschung, Postfach 3148, D-55021 Mainz, Germany and Institute for Physical Chemistry, Bulgarian Academy of Sciences, G. Bonchev Street, Block 11, 1113 Sofia, Bulgaria.

Physical Review Letters
|November 4, 2000
PubMed
Summary

We studied the size of random polyampholytes, finding their radius scales with length N to the power of 1/2. This contradicts previous models, providing a new understanding of polymer behavior.

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Area of Science:

  • Polymer Physics
  • Statistical Mechanics
  • Computational Chemistry

Background:

  • Polyampholytes are polymers with randomly distributed positive and negative charges.
  • Understanding their size and conformation is crucial in polymer science.
  • Previous theoretical models and simulations yielded conflicting predictions.

Purpose of the Study:

  • To determine the scaling relationship between the size of random polyampholytes and their chain length.
  • To develop a theoretical framework for predicting polyampholyte behavior.
  • To resolve discrepancies in existing models.

Main Methods:

  • Extensive Monte Carlo simulations were performed.
  • A novel scaling theory based on the Kantor-Kardar necklace model was developed.

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  • Theoretical predictions were compared against simulation results.

    • Main Results:

    • The average radius of gyration was found to scale as N^(1/2).
    • This N^(1/2) scaling holds despite the quenched disorder in the charge sequence.
    • Previous models predicting N^(1/3) and N scaling were ruled out.

    Conclusions:

    • The developed scaling theory accurately rationalizes simulation results.
    • The N^(1/2) scaling provides a new, robust understanding of random polyampholyte size.
    • This finding revises previous predictions and offers a more accurate model for polymer behavior.