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The two dimensional shapes of simple three and four junction ideal comb polymers

Author

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  • de Regt, Robin
  • Bishop, Marvin
  • Barillas, Adam J.
  • Borgeson, Tylor
  • von Ferber, Christian

Abstract

We redesign and apply a scheme originally proposed by Wei (1995) [2,3] to produce numerical shape parameters with high precision for arbitrary tree-branched polymers based on their Kirchhoff matrix eigenvalue spectrum. This algorithm and a Monte Carlo growth method on square and triangular lattices are employed to investigate the shapes of ideal three and four junction two dimensional comb polymers. We find that the extrapolated values obtained by all of these methods are in excellent agreement with each other and the available theory. We confirm that polymers with a complete set of interior branches display a more circular shape.

Suggested Citation

  • de Regt, Robin & Bishop, Marvin & Barillas, Adam J. & Borgeson, Tylor & von Ferber, Christian, 2016. "The two dimensional shapes of simple three and four junction ideal comb polymers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 391-398.
    • Handle: RePEc:eee:phsmap:v:458:y:2016:i:c:p:391-398
    DOI: 10.1016/j.physa.2016.03.109
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