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

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

Physica A: Statistical Mechanics and its Applications, 2016, vol. 458, issue C, 391-398

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.

Keywords: Soft matter; Branched polymers; Analytic approach; Simulation (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:458:y:2016:i:c:p:391-398

DOI: 10.1016/j.physa.2016.03.109

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